THE LARGEST KNOWN PRIMES (Primes with 300,000 or more digits) (selected smaller primes which have comments are included) Originally Compiled by Samuel Yates -- Continued by Chris Caldwell (Tue Feb 9 12:20:58 CST 2010) So that I can maintain this database of the 5,000 largest known primes (plus selected smaller primes with 1,000 or more digits), please send any new primes (that are large enough) to: http://primes.utm.edu/bios/submission.php This list in a searchable form (plus information such as how to find large primes and how to prove primality) is available at the interactive web site: http://primes.utm.edu/primes/ See the last pages for information about the provers. Professor Chris K. Caldwell Mathematics and Statistics caldwell@utm.edu University of Tennessee at Martin http://www.utm.edu/~caldwell/ Martin, TN 38238, USA The letters after the rank refer to when the prime was submitted. 'a' is this month, 'b' last month... ----- -------------------------------- ------ ---- ---- -------------- rank description digits who year comment ----- -------------------------------- ------ ---- ---- -------------- 1 2^43112609-1 12978189 G10 2008 Mersenne 47?? 2 2^42643801-1 12837064 G12 2009 Mersenne 46?? 3 2^37156667-1 11185272 G11 2008 Mersenne 45?? 4 2^32582657-1 9808358 G9 2006 Mersenne 44?? 5 2^30402457-1 9152052 G9 2005 Mersenne 43?? 6 2^25964951-1 7816230 G8 2005 Mersenne 42? 7 2^24036583-1 7235733 G7 2004 Mersenne 41? 8 2^20996011-1 6320430 G6 2003 Mersenne 40? 9 2^13466917-1 4053946 G5 2001 Mersenne 39 10 19249*2^13018586+1 3918990 SB10 2007 11 27653*2^9167433+1 2759677 SB8 2005 12 28433*2^7830457+1 2357207 SB7 2004 13 33661*2^7031232+1 2116617 SB11 2007 14 2^6972593-1 2098960 G4 1999 Mersenne 38 15 6679881*2^6679881+1 2010852 L917 2009 Cullen 16 1582137*2^6328550+1 1905090 L801 2009 Cullen 17 258317*2^5450519+1 1640776 g414 2008 18 3*2^5082306+1 1529928 L780 2009 Divides GF(5082303,3), GF(5082305,5) 19 5359*2^5054502+1 1521561 SB6 2003 20 265711*2^4858008+1 1462412 g414 2008 21 3*2^4235414-1 1274988 L606 2008 22 24518^262144+1 1150678 g413 2008 Generalized Fermat 23 938237*2^3752950-1 1129757 L521 2007 Woodall 24 485767*2^3609357-1 1086531 L622 2008 25 5*2^3569154-1 1074424 L503 2009 26 7*2^3511774+1 1057151 p236 2008 Divides GF(3511773,6) 27 3139*2^3321905-1 999997 L185 2008 28 4847*2^3321063+1 999744 SB9 2005 29 113983*2^3201175-1 963655 L613 2008 30 3*2^3136255-1 944108 L256 2007 31 5*2^3059698-1 921062 L503 2008 32 2^3021377-1 909526 G3 1998 Mersenne 37 33 7*2^3015762+1 907836 g279 2008 34 4348099*2^2976221-1 895939 L466 2008 35 2^2976221-1 895932 G2 1997 Mersenne 36 36 7*2^2915954+1 877791 g279 2008 Divides GF(2915953,12) [g322] 37 222361*2^2854840+1 859398 g403 2006 38 1372930^131072+1 804474 g236 2003 Generalized Fermat 39 1361244^131072+1 803988 g236 2004 Generalized Fermat 40 1176694^131072+1 795695 g236 2003 Generalized Fermat 41 342673*2^2639439-1 794556 L53 2007 42 572186^131072+1 754652 g0 2004 Generalized Fermat 43 3*2^2478785+1 746190 g245 2003 Divides Fermat F(2478782), GF(2478782,3), GF(2478776,6), GF(2478782,12) 44f 81*2^2468789+1 743182 g418 2009 45 26773*2^2465343-1 742147 L197 2006 46 5*2^2460482-1 740680 L503 2008 47e 386892^131072+1 732377 p259 2009 Generalized Fermat 48 737*2^2382804-1 717299 L191 2007 49 1183953*2^2367907-1 712818 L447 2007 Woodall 50 127*2^2346377-1 706332 L282 2009 51 275293*2^2335007-1 702913 L193 2006 52 3*2^2312734-1 696203 L158 2005 53 450457*2^2307905-1 694755 L172 2006 54 3*2^2291610+1 689844 L753 2008 Divides GF(2291607,3), GF(2291609,5) 55 130816^131072+1 670651 g308 2003 Generalized Fermat 56c 27*2^2218064+1 667706 L690 2009 57 19*2^2206266+1 664154 p189 2006 58 5077*2^2198565-1 661838 L251 2008 59 114487*2^2198389-1 661787 L179 2006 60 196597*2^2178109-1 655682 L175 2006 61 7*2^2167800+1 652574 g279 2007 Divides Fermat F(2167797), GF(2167799,5), GF(2167799,10) 62 3*2^2145353+1 645817 g245 2003 Divides Fermat F(2145351), GF(2145351,3), GF(2145352,5), GF(2145348,6), GF(2145352,10), GF(2145351,12) 63 23*2^2141626-1 644696 L545 2008 64 7*2^2139912+1 644179 g279 2007 Divides GF(2139911,12) 65 62722^131072+1 628808 g308 2003 Generalized Fermat 66c 563528*13^563528-1 627745 p262 2009 Generalized Woodall 67 1003*2^2076535-1 625103 L51 2008 68 9*2^2060941-1 620407 L503 2008 69 121*2^2033941-1 612280 L162 2006 70 251749*2^2013995-1 606279 L436 2007 Woodall 71 467917*2^1993429-1 600088 L160 2005 72 137137*2^1993201-1 600019 L321 2007 73 17*2^1990299+1 599141 g267 2006 Divides GF(1990298,3) 74 25*2^1977369-1 595249 L426 2008 75 121*2^1954243-1 588288 L162 2006 76 214519*2^1929114+1 580727 g346 2006 77c 27*2^1902689-1 572768 L1153 2009 78 345067*2^1876573-1 564911 g59 2005 79 13*2^1861732+1 560439 g267 2005 Divides GF(1861731,6) 80 137*2^1849238-1 556679 L321 2007 81 15*2^1837873-1 553257 L632 2008 82 3*2^1832496+1 551637 p189 2007 Divides GF(1832490,3), GF(1832494,5) 83 21*2^1830919+1 551163 g279 2004 84 33*2^1813526-1 545928 L621 2008 85 417643*2^1800787-1 542097 L134 2005 86 357659*2^1779748-1 535764 L47 2005 87 5*2^1777515+1 535087 p148 2005 Divides GF(1777511,5), GF(1777514,6) 88 5077*2^1753317-1 527805 L251 2008 89 1179*2^1750847+1 527061 g387 2009 90 253*2^1722623-1 518564 L145 2007 91 121*2^1695499-1 510399 L62 2005 92 19*2^1684813-1 507181 L503 2008 93 15*2^1667744+1 502043 g279 2007 94 149183*2^1666957+1 501810 g346 2005 95 63*2^1659338-1 499513 L503 2008 96 61*2^1654383-1 498021 L503 2008 97e 68*23^365239+1 497358 p261 2009 98 69*2^1649423-1 496528 L621 2008 99 469949*2^1649228-1 496473 L160 2007 100 81*2^1643428+1 494724 g418 2009 Generalized Fermat 101d 251048373*2^1638322+1 493193 p221 2009 102c 125522417*2^1638323+1 493193 p221 2009 103c 250171825*2^1638322+1 493193 p221 2009 104d 1000628481*2^1638320+1 493193 p221 2009 105 81*2^1606848+1 483712 gt 2007 Generalized Fermat 106 15*2^1597510+1 480900 g279 2006 107 58753*2^1594323-1 479944 p190 2006 108 737*2^1592724-1 479461 L191 2006 109 110413*2^1591999-1 479245 L111 2005 110 99*2^1591984-1 479237 L282 2009 111 1179*2^1591362+1 479051 g387 2006 112 121*2^1589157-1 478387 L65 2005 113 19502212^65536+1 477763 p160 2005 Generalized Fermat 114 311*2^1581686-1 476138 L623 2009 115 17684828^65536+1 474979 g410 2007 Generalized Fermat 116 17655444^65536+1 474932 g410 2007 Generalized Fermat 117 17629398^65536+1 474890 g410 2007 Generalized Fermat 118 29*2^1574753+1 474050 L391 2008 119 139*2^1567874+1 471980 p189 2006 120 81*2^1544545+1 464957 gt 2007 121 234847*2^1535589-1 462264 L73 2005 122 121*2^1526097-1 459404 L65 2005 123 19709699*2^1521540-1 458037 L421 2008 124 13*2^1499876+1 451509 g267 2004 Divides GF(1499875,3) 125 7*2^1491852+1 449094 p166 2005 Divides GF(1491851,6) 126 2232007*2^1490605-1 448724 L4 2003 127 9*2^1481821-1 446074 L503 2008 128 29*2^1478344-1 445028 L10 2005 129 27*2^1476347+1 444427 g279 2005 130 325627*2^1472117-1 443157 L111 2005 131 1467763*2^1467763-1 441847 L381 2007 Woodall 132 77*2^1467554-1 441780 L145 2006 133 99*2^1461496-1 439957 L282 2009 134 21*2^1452771-1 437329 L503 2008 135 23*2^1448461+1 436032 L170 2008 136 19*2^1434165-1 431728 L503 2008 137 113*2^1425998-1 429271 L257 2008 138 21*2^1421741+1 427989 g279 2005 139d 9*2^1419855-1 427420 L323 2009 140 15*2^1418605+1 427044 g279 2006 Divides GF(1418600,5), GF(1418601,6) 141 29*2^1416873+1 426523 g305 2007 142 149797*2^1414137-1 425703 L105 2005 143c 105*2^1407665-1 423752 L384 2009 144 127*2^1398889-1 421110 L486 2008 145 1564347*2^1398269-1 420928 L466 2008 146 2^1398269-1 420921 G1 1996 Mersenne 35 147 192089*2^1395688-1 420150 L49 2004 148 113*2^1389674-1 418336 L257 2008 149 17*2^1388355+1 417938 g267 2005 Divides GF(1388354,10) 150 2187182^65536+1 415491 g260 2009 Generalized Fermat 151 2177038^65536+1 415359 g260 2008 Generalized Fermat 152 2162068^65536+1 415162 g260 2008 Generalized Fermat 153c 73*2^1370742+1 412637 g418 2009 154 15*2^1368428+1 411940 g279 2006 155b 51017*6^528803-1 411494 p258 2010 156 1874512^65536+1 411101 g413 2008 Generalized Fermat 157 241489*2^1365062+1 410930 L101 2005 158 1828502^65536+1 410393 GF2 2005 Generalized Fermat 159 107*2^1362654-1 410202 L621 2009 160 35*2^1357881+1 408765 g279 2006 161e 299*2^1355004-1 407900 L426 2009 162 338707*2^1354830+1 407850 L124 2005 Cullen 163 1540550^65536+1 405516 GF2 2003 Generalized Fermat 164 15*2^1344313-1 404680 L139 2007 165 1483076^65536+1 404434 GF2 2003 Generalized Fermat 166 11*2^1343347+1 404389 p169 2005 Divides GF(1343346,6) 167 1478036^65536+1 404337 GF2 2002 Generalized Fermat 168 54767*2^1337287+1 402569 SB5 2002 169 1374038^65536+1 402260 GF3 2003 Generalized Fermat 170 81*2^1335675-1 402081 L268 2008 171 1361846^65536+1 402007 GF3 2002 Generalized Fermat 172 1266062^65536+1 399931 g295 2002 Generalized Fermat 173 5*2^1320487+1 397507 g55 2002 Divides GF(1320486,12) 174 1057476^65536+1 394807 g197 2002 Generalized Fermat 175e 1001184681*2^1310640+1 394551 p221 2009 176e 250107985*2^1310642+1 394551 p221 2009 177 1024390^65536+1 393902 g299 2003 Generalized Fermat 178 19581121*2^1303821-1 392497 p49 2009 179 25*2^1298186+1 390795 g279 2005 Generalized Fermat 180 99*2^1292395-1 389052 L282 2008 181 857678^65536+1 388847 GF0 2002 Generalized Fermat 182 843832^65536+1 388384 GF0 2001 Generalized Fermat 183 138847*2^1283793-1 386466 L2 2003 184 5*2^1282755+1 386149 g55 2002 Divides GF(1282754,3), GF(1282748,5) 185 15*2^1276177+1 384169 g279 2006 Divides GF(1276174,3), GF(1276174,10) 186 1268979*2^1268979-1 382007 L201 2007 Woodall 187 671600^65536+1 381886 g55 2002 Generalized Fermat 188 11*2^1261478-1 379744 L163 2006 189 25*2^1258562+1 378867 g279 2004 Generalized Fermat 190 2084259*2^1257787-1 378638 L466 2008 191 26869*2^1257787-1 378637 L466 2007 192 2^1257787-1 378632 SG 1996 Mersenne 34 193 49*2^1257295-1 378486 L217 2008 194 6201*2^1257068+1 378419 L667 2008 195 81*2^1254155+1 377541 gt 2007 196 27*2^1253870-1 377454 L65 2008 197 80857169*2^1251076-1 376620 L10 2004 198e 57023*6^483561-1 376289 p258 2009 199 549868^65536+1 376194 g295 2003 Generalized Fermat 200 544118^65536+1 375895 g295 2002 Generalized Fermat 201 15*2^1244377+1 374596 g279 2006 202 257708*5^535176-1 374078 p196 2007 203 21*2^1240067+1 373299 g279 2004 204b 8579*10^373260-1 373264 p265 2010 205 43*2^1235298+1 371864 g279 2006 206 3*2^1232255-1 370947 L30 2004 207 15*2^1229600+1 370148 g279 2006 208 19581121*2^1229561-1 370143 p49 2008 209 440846^65536+1 369904 GC1 2002 Generalized Fermat 210 177482*117^177482+1 367072 g407 2008 Generalized Cullen 211e 122*18^292318+1 366941 p231 2009 212 25*2^1211488+1 364696 g279 2005 Generalized Fermat, divides GF(1211487,12) 213 357868^65536+1 363969 g266 2003 Generalized Fermat 214b 269*2^1204740-1 362666 L282 2010 215 2^1203793-2^601897+1 362378 L192 2006 Gaussian Mersenne norm 37? 216 3*2^1201046-1 361552 L77 2004 217 502541*2^1199930-1 361221 L93 2004 218 1195203*2^1195203-1 359799 L124 2005 Woodall 219 5*2^1194164-1 359480 L478 2008 220d 105*2^1193072-1 359153 L384 2009 221 292550^65536+1 358233 GC2 2002 Generalized Fermat 222 291726^65536+1 358153 GC2 2002 Generalized Fermat 223 71009*2^1185112-1 356760 L47 2004 224e 78959*6^458114-1 356487 p256 2009 225b 201*2^1183137-1 356163 L282 2010 226 21*2^1182083-1 355844 L323 2009 227 55*2^1177924+1 354593 L669 2009 228 255694^65536+1 354401 g266 2002 Generalized Fermat 229 617*2^1175468-1 353854 L426 2007 230e 59*2^1170231+1 352277 L669 2009 231 21*2^1170083-1 352232 L503 2008 232 27*2^1164664+1 350601 g279 2005 233 27*2^1163629-1 350289 L503 2008 234 55*2^1162155-1 349846 L545 2008 235 69109*2^1157446+1 348431 SB4 2002 236 152713*2^1154707-1 347607 g23 2004 237 29*2^1152765+1 347019 g300 2005 Divides GF(1152760,10) 238 189590^65536+1 345887 g262 2002 Generalized Fermat 239e 1001155863*2^1146800+1 345231 p221 2009 240 350107*2^1144101-1 344415 L35 2004 241 31*2^1142093-1 343806 L503 2008 242 209826493*2^1140855-1 343440 L10 2004 243 500621*2^1138518-1 342734 L73 2004 244 504613*2^1136459-1 342114 L84 2004 245d 45*2^1134357+1 341478 L669 2009 246 33*2^1130884+1 340432 L165 2006 Divides GF(1130881,12) 247 64*3^712171+1 339794 x28 2006 248 63*2^1126551-1 339128 L323 2008 249 842711*2^1126138-1 339008 L251 2009 250 177*2^1121720+1 337674 L129 2006 251 141146^65536+1 337489 g281 2002 Generalized Fermat 252 165*2^1117217+1 336319 g196 2007 253 33*2^1115902-1 335922 L488 2008 254d 45*2^1111703+1 334658 L669 2009 255 27*2^1108214-1 333608 L590 2008 256 99*2^1106989-1 333239 L486 2007 257 11*2^1104606-1 332521 L10 2005 258 49*2^1103430+1 332168 L669 2009 Generalized Fermat 259 165*2^1100755+1 331363 g196 2007 260b 191*2^1099867+1 331096 L669 2010 261 289*2^1098117-1 330569 L6 2006 262 19433*2^1096861+1 330193 g411 2008 263 108368^65536+1 329968 g181 2001 Generalized Fermat 264 43*2^1087992+1 327520 g279 2006 265 45*2^1086062+1 326939 L669 2009 266 412717*2^1084409-1 326446 L76 2004 267 15*2^1084010-1 326321 L139 2006 268 103*2^1077739-1 324434 L621 2009 269 150847*2^1076441-1 324047 L73 2004 270 55*2^1075711-1 323824 L545 2008 271 85*2^1072368+1 322817 g267 2006 272 209826493*2^1071303-1 322503 L10 2004 273 63*2^1070449+1 322240 L669 2009 274 107*2^1070256-1 322182 L621 2008 275 2203*2^1069647-1 322000 L123 2006 276 53*2^1066381+1 321015 L669 2009 277 133*2^1065655-1 320797 L632 2008 278 257*2^1064062-1 320317 L632 2008 279 217*2^1059961-1 319083 L639 2008 280 41*2^1059562-1 318962 L282 2009 281c 117*2^1057032+1 318201 L669 2009 282 864316301*2^1055106-1 317628 L426 2007 283 9*2^1051026+1 316392 p156 2004 Generalized Fermat 284 12345*2^1047788-1 315420 L426 2009 285 11*2^1044086-1 314303 L10 2005 286 105*2^1043063-1 313996 L384 2009 287 151515*2^1043018-1 313985 L426 2007 288 35*2^1040005+1 313075 g279 2006 289 121*2^1039965-1 313063 L65 2004 290 958*11^300544+1 312988 p217 2008 291 13*2^1038896+1 312740 g267 2004 292c 117*2^1035072+1 311590 L669 2009 293 85*2^1034069-1 311288 L323 2007 294c 133*2^1027150+1 309206 L669 2009 295 217*2^1026869-1 309121 L632 2008 296 91*2^1026521-1 309016 L323 2008 297 31838235*2^1025596+1 308743 p190 2006 298c 117*2^1024380+1 308372 L669 2009 299d 175*2^1022634+1 307846 L669 2009 300 21*2^1022168+1 307705 g279 2004 301 48594^65536+1 307140 g141 2000 Generalized Fermat 302 205*2^1019679-1 306957 L632 2008 303f 41*2^1018778-1 306685 L282 2009 304b 139*2^1016619-1 306035 L323 2010 305 65567*2^1013803+1 305190 SB2 2002 306 6119*2^1011416-1 304471 L251 2007 307d 109*2^1011102+1 304375 g423 2009 308 9*2^1010277-1 304125 L80 2007 309 165*2^1010133+1 304083 g196 2007 310a 1211*2^1006346-1 302944 L121 2010 311 729*2^1003373-1 302049 L466 2008 312 603*2^1002662+1 301835 p219 2007 313 945*2^1001719+1 301551 p219 2007 314 103*2^1001214+1 301398 p219 2007 315 869*2^1000725+1 301252 p114 2005 316 8009271*2^1000005-1 301039 g396 2009 317 1611111*2^1000000+1 301037 p197 2007 318 1089927*2^1000000+1 301037 p197 2006 319 32883*2^1000004+1 301036 p86 2002 320 21*2^999599-1 300911 L56 2005 321 215*2^999170-1 300783 L323 2008 322 81*2^998065+1 300450 gt 2007 323e 335*2^997912-1 300404 L769 2009 324 243*2^997537+1 300291 L165 2008 325 1515*2^996848-1 300085 L200 2007 326 351351*2^996709-1 300045 L80 2006 327 2^991961-2^495981+1 298611 x28 2005 Gaussian Mersenne norm 36 328 11*2^960901+1 289262 g277 2005 Divides Fermat F(960897) 329 2*827^98511+1 287407 g404 2009 Divides Phi(827^98511,2) 330 143717*96^143717+1 284892 g157 2009 Generalized Cullen 331 113*2^916801+1 275987 L153 2009 Divides GF(916800,5), GF(916800,12) 332 3*2^916773+1 275977 g245 2001 Divides GF(916771,3), GF(916772,10) 333 43*2^894766+1 269354 g279 2006 Divides GF(894765,5) 334 11*2^886071+1 266735 g277 2005 Divides GF(886070,12) 335 2^859433-1 258716 SG 1994 Mersenne 33 336 Phi(3,1-3^267414)/3 255178 x28 2005 Generalized unique 337 35*2^831411+1 250282 g279 2006 Divides GF(831410,3) 338c 52592*52514^52592-1 248254 g77 2009 Generalized Woodall 339 229918*12^229918-1 248129 x37 2008 Generalized Woodall 340 5*2^819739+1 246767 g55 2001 Divides GF(819738,3) 341 7*2^811230+1 244206 g148 2002 Divides GF(811228,5) 342 9980*19^189621-1 242483 p237 2008 Generalized Woodall 343 7*2^804534+1 242190 g196 2003 Divides GF(804533,12) 344 3*2^801978+1 241420 g372 2005 Divides GF(801973,3), GF(801977,5) 345 60205*2^782665-1 235611 p243 2009 Generalized Woodall 346 67*2^773566+1 232869 p227 2008 Divides GF(773564,5) 347 35*2^768063+1 231212 L126 2005 Divides GF(768062,3) 348 2^756839-1 227832 SG 1992 Mersenne 32 349 Phi(5,(3668*16001#-1)*(378266*16001#/5+1)^7) 221071 x34 2008 Generalized unique 350 59*2^727815+1 219096 p227 2008 Divides GF(727814,12) 351 3*2^709968+1 213723 g372 2005 Divides GF(709962,3), GF(709963,5) 352 75*2^705688+1 212436 p227 2008 Divides GF(705684,12) 353 Phi(3,-2322573^16384) 208601 p72 2008 Generalized unique 354 Phi(3,-2313516^16384) 208545 p72 2008 Generalized unique 355 Phi(3,-2182528^16384) 207716 f7 2007 Generalized unique 356 Phi(3,-2178996^16384) 207692 f7 2007 Generalized unique 357 2*683^73237+1 207585 g404 2008 Divides Phi(683^73237,2) 358 Phi(3,-2115084^16384) 207269 f7 2007 Generalized unique 359 Phi(3,-2110199^16384) 207236 f7 2007 Generalized unique 360 Phi(3,-2074507^16384) 206993 f7 2007 Generalized unique 361 Phi(3,-2029827^16384) 206683 f7 2006 Generalized unique 362 Phi(3,-1989801^16384) 206400 f7 2006 Generalized unique 363 Phi(3,-3898771219232^8192) 206290 f14 2007 Generalized unique 364 Phi(3,-3824990769800^8192) 206154 f14 2007 Generalized unique 365 Phi(3,-3804263911368^8192) 206116 f14 2007 Generalized unique 366 Phi(3,-1949616^16384) 206110 f7 2006 Generalized unique 367 13*2^684560+1 206075 g267 2003 Divides GF(684557,10), GF(684559,6) 368 Phi(3,-3775889401250^8192) 206062 f14 2007 Generalized unique 369 Phi(3,-3757143544200^8192) 206027 f14 2007 Generalized unique 370 Phi(3,-1932045^16384) 205981 f7 2006 Generalized unique 371 Phi(3,-1925507^16384) 205932 f7 2006 Generalized unique 372 Phi(3,-1910944^16384) 205824 f7 2006 Generalized unique 373 27*2^672007+1 202296 g279 2005 Divides Fermat F(672005) 374 667071*2^667071-1 200815 g55 2000 Woodall 375 2*419^76419+1 200388 g404 2007 Divides Phi(419^76419,2) 376 101670*91^101670+1 199181 g157 2005 Generalized Cullen 377 87258*182^87258+1 197215 g392 2006 Generalized Cullen 378 98035*10^196070+1 196075 g157 2007 Generalized Cullen 379 133736*3^401209-1 191431 p120 2004 Generalized Woodall 380 162454*15^162454-1 191066 p242 2009 Generalized Woodall 381 2*191^83009+1 189347 g404 2006 Divides Phi(191^83009,2) 382 146478*19^146478-1 187315 p237 2008 Generalized Woodall 383 659*2^617815+1 185984 L732 2009 Divides Fermat F(617813) 384 2*131^86365+1 182859 g404 2007 Divides Phi(131^86365,2) 385 225*2^605172+1 182178 p43 2005 Generalized Fermat, divides GF(605169,3) 386 33*2^600270+1 180701 L126 2005 Divides GF(600269,5) 387 999999999*10^180230-1 180239 g208 2008 Near-repdigit 388f 10^180054+8*R(58567)*10^60744+1 180055 p235 2009 Tetradic palindrome 389 10^180004+248797842*10^89998+1 180005 D 2007 Palindrome 390 163*2^597474+1 179860 p43 2005 Divides GF(597473,3) 391 351*2^588325+1 177107 L651 2009 Divides GF(588323,6) 392f 36739*2^587827-1 176959 p77 2009 Generalized Woodall 393 195*2^585988+1 176403 p189 2007 Divides GF(585985,12) [K] 394 151*2^585044+1 176118 L446 2007 Divides Fermat F(585042) 395 10^175108+230767032*10^87550+1 175109 D 2007 Palindrome 396 45*2^574506+1 172946 g409 2007 Divides GF(574504,3) 397 1143*2^573894+1 172763 L717 2009 Divides GF(573892,3) 398 519*2^567235+1 170758 L656 2009 Divides Fermat F(567233) 399 10^170006+3880883*10^85000+1 170007 D 2006 Palindrome 400 392113#+1 169966 p16 2001 Primorial 401 13*2^562456+1 169318 g267 2003 Divides GF(562454,5) 402 7*2^561816+1 169125 g148 2003 Divides GF(561815,5); GF(561815,6) [p149] 403 243*2^555984+1 167371 L165 2007 Divides GF(555978,3) 404 347*2^544887+1 164030 L679 2009 Divides GF(544886,5) 405 37510*3^337592+1 161077 p126 2006 Generalized Cullen 406 2*1031^53111+1 160038 g404 2009 Divides Phi(1031^53111,2) 407 10^160016+8231328*10^80005+1 160017 D 2006 Palindrome 408 366439#+1 158936 p16 2001 Primorial 409 345*2^525977+1 158338 g258 2007 Divides GF(525974,6) 410 11*2^525589+1 158220 p116 2003 Divides GF(525588,6) 411 92278*50^92278+1 156783 g157 2008 Generalized Cullen 412 83660*72^83660-1 155390 g265 2003 Generalized Woodall 413 39*2^512997+1 154430 g267 2005 Divides GF(512994,5), GF(512995,6) 414 2*191^66971+1 152764 g404 2006 Divides Phi(191^66971,2) 415 56271*2^506439+1 152459 p243 2009 Generalized Cullen 416 2*431^56947+1 150026 g404 2007 Divides Phi(431^56947,2) 417 10^150008+4798974*10^75001+1 150009 D 2006 Palindrome 418 10^150006+7426247*10^75000+1 150007 p5 2005 Palindrome 419 2*1931^45605+1 149849 g404 2007 Divides Phi(1931^45605,2) 420 243*2^495732+1 149233 L165 2007 Divides Fermat F(495728), GF(495726,3), GF(495728,6), GF(495727,12) 421 81778*66^81778+1 148804 g157 2007 Generalized Cullen 422e 103444*3^310332-1 148072 p260 2009 Generalized Woodall 423e 9265*2^482072+1 145123 L635 2009 Divides GF(482070,10) 424 481899*2^481899+1 145072 gm 1998 Cullen 425 1995*2^479842+1 144451 p240 2009 Divides GF(479838,5) 426 2*599^51983+1 144380 g404 2008 Divides Phi(599^51983,2) 427 72048*10^144096+1 144101 g157 2005 Generalized Cullen 428 651*2^476632+1 143484 L668 2008 Divides Fermat F(476624) 429 34790!-1 142891 p85 2002 Factorial 430e 6841*2^474348+1 142797 L1065 2009 Divides GF(474347,10) 431 89*2^472099+1 142118 p114 2004 Divides Fermat F(472097) 432 88195*40^88195+1 141299 x37 2009 Generalized Cullen 433 64872*145^64872+1 140218 g142 2005 Generalized Cullen 434 10^140008+4546454*10^70001+1 140009 D 2005 Palindrome 435 2*191^61303+1 139835 g404 2006 Divides Phi(191^61303,2) [g187] 436 99*10^139670-1 139672 p200 2006 Near-repdigit 437 292340*3^292340-1 139488 p120 2004 Generalized Woodall 438 91848*33^91848+1 139478 g157 2006 Generalized Cullen 439 3911*2^462579+1 139254 L679 2009 Divides GF(462577,10) 440 9*2^461081+1 138801 g122 2003 Divides Fermat F(461076), GF(461077,3), GF(461077,6), GF(461077,12) 441 1791*2^460696+1 138687 p240 2009 Divides GF(460693,12) 442 3203*2^459521+1 138334 L687 2009 Divides GF(459520,6) 443 61813*172^61813+1 138190 g407 2007 Generalized Cullen 444 45*2^458712+1 138088 L170 2007 Divides GF(458709,5), GF(458710,6) [K] 445 1061839*2^456790-1769267*2^340000-1 137514 p97 2007 Arithmetic progression (3,d=1061839*2^456789-1769267*2^340000) 446 1061839*2^456789-1 137514 L81 2005 Arithmetic progression (2,d=1061839*2^456789-1769267*2^340000) 447 4377*2^456708+1 137487 L872 2009 Divides GF(456707,10) 448 76710*61^76710+1 136958 g157 2006 Generalized Cullen 449 62378*141^62378+1 134069 g407 2007 Generalized Cullen 450 74460*59^74460+1 131863 g157 2006 Generalized Cullen 451 2*863^44857+1 131701 g404 2008 Divides Phi(863^44857,2) 452 9*2^435743+1 131173 g122 2003 Divides GF(435742,10) 453 58897*166^58897+1 130763 g407 2007 Generalized Cullen 454 9999992*10^130127-1 130134 p200 2008 Near-repdigit 455 10^130048+(9*10^37077-2)/11*10^46486+1 130049 p235 2008 Tetradic palindrome 456 10^130036+116010611*10^65014+1 130037 D 2004 Palindrome 457 10^130022+3761673*10^65008+1 130023 D 2004 Palindrome 458 2*683^45797+1 129809 g404 2008 Divides Phi(683^45797,2) 459 17*2^429319-197*2^202534-1 129240 p162 2005 Arithmetic progression (3,d=17*2^429318-197*2^202534) 460 17*2^429318-1 129239 g267 2003 Arithmetic progression (2,d=17*2^429318-197*2^202534) [p162] 461f 10^127590+10^42297*(9*10^42997-2)/11+1 127591 x40 2009 Tetradic palindrome 462 10^127576+1081101080188810801011801*10^63776+1 127577 p185 2006 Tetradic, palindrome 463 2*23^93337+1 127100 gb1 2006 Divides Phi(23^93337,2) 464 2*4523^34421+1 125824 gb1 2004 Divides Phi(4523^34421,2) 465 88900*26^88900+1 125797 g157 2005 Generalized Cullen 466 70615*60^70615+1 125569 g157 2008 Generalized Cullen 467 2*359^49071+1 125382 g404 2007 Divides Phi(359^49071,2) 468 2*251^51905+1 124556 gb2 2006 Divides Phi(251^51905,2) 469 61652*103^61652-1 124101 p120 2004 Generalized Woodall 470 1207*2^410108+1 123458 g380 2005 Divides Fermat F(410105) 471 2*4079^33873+1 122301 gb2 2007 Divides Phi(4079^33873,2) 472 15*2^403929+1 121596 p114 2002 Divides GF(403927,10) 473 36635*1960^36635-1 120617 p117 2003 Generalized Woodall 474 10^120016+1726271*10^60005+1 120017 D 2004 Palindrome 475 10^120002+1617161*10^59998+1 120003 D 2004 Palindrome 476 3*10^119292-1 119293 p135 2006 Near-repdigit 477 69*2^394574+1 118781 p219 2008 Divides GF(394572,12) 478 91850*19^91850-1 117459 p237 2008 Generalized Woodall 479 92711*18^92711-1 116383 p242 2009 Generalized Woodall 480 64227*2^385362-1 116011 p77 2003 Generalized Woodall 481 2*491^42801+1 115182 g404 2007 Divides Phi(491^42801,2) 482 3*2^382449+1 115130 g132 1999 Divides Fermat F(382447), GF(382447,3), GF(382447,12), GF(382443,6) 483 119*2^376951+1 113476 g233 2006 Divides GF(376950,12) 484 145359*6^145359-1 113117 p234 2008 Generalized Woodall 485 8511*2^374486-1 112736 p77 2003 Generalized Woodall 486 45*2^368554-405769059*2^180009-1 110948 p108 2003 Arithmetic progression (3,d=45*2^368553-405769059*2^180009) 487 45*2^368553-1 110948 L4 2003 Arithmetic progression (2,d=45*2^368553-405769059*2^180009) [p108] 488 2^364289-2^182145+1 109662 p58 2001 Gaussian Mersenne norm 35 489 3*2^362765+1 109204 g245 2002 Divides GF(362763,12), GF(362764,10) 490 2*8039^27953+1 109163 gb1 2004 Divides Phi(8039^27953,2) 491 75*2^361614+1 108859 p114 2004 Divides GF(361612,10) 492 361275*2^361275+1 108761 DS 1998 Cullen 493 995*10^107888-1 107891 p218 2007 Near-repdigit 494 26951!+1 107707 p65 2002 Factorial 495 17883*2^357662-1 107672 p103 2003 Generalized Woodall 496 9*10^107663-1 107664 p122 2004 Near-repdigit 497 10^105022+523111325*10^52507+1 105023 D 2008 Palindrome 498 10^105018+920383029*10^52505+1 105019 D 2008 Palindrome 499 10^105016+318939813*10^52504+1 105017 D 2008 Palindrome 500 10^105014+682787286*10^52503+1 105015 D 2008 Palindrome 501 10^105014+424787424*10^52503+1 105015 D 2008 Palindrome 502 10^104281-10^52140-1 104281 p16 2003 Near-repdigit, palindrome 503 163*2^343190+1 103313 g258 2005 Divides GF(343189,10) 504 1769267*2^340000-1 102357 L4 2003 Arithmetic progression (1,d=1061839*2^456789-1769267*2^340000) 505 485*2^338297+1 101841 L203 2007 Divides Fermat F(338295) [K] 506 65516468355*2^333333+1 100355 L923 2009 Twin (p+2) 507 65516468355*2^333333-1 100355 L923 2009 Twin (p) 508b 58742937789*2^333333-1 100355 L1213 2010 Arithmetic progression (3,d=6702174357*2^333334) 509b 45870258861*2^333333-1 100354 L1213 2010 Arithmetic progression (3,d=2052418275*2^333336) 510b 45338589075*2^333333-1 100354 L1213 2010 Arithmetic progression (2,d=6702174357*2^333334) 511 16422993885*2^333333-1 100354 L392 2007 Arithmetic progression (2,d=38478921*2^333341) [g282] 512 14470366551*2^333333-1 100354 L315 2007 Arithmetic progression (1,d=168667635*2^333334) [g348] 513 6572390109*2^333333-1 100354 L255 2007 Arithmetic progression (1,d=38478921*2^333341) [g282] 514 1808289789*2^333333-1 100353 L212 2007 Arithmetic progression (1,d=3371818539*2^333335) [g282] 515 10^100000-10^61403-1 100000 p62 2001 Near-repdigit 516 10^95019-10^47509-1 95019 p16 2003 Near-repdigit, palindrome 517 99999*10^94039-1 94044 p199 2006 Near-repdigit 518 891*2^311033+1 93634 p114 2005 Divides GF(311032,10) 519 99999*10^92226-1 92231 p199 2006 Near-repdigit 520 9*2^304607+1 91697 g23 1998 Divides GF(304604,6) 521 3*2^303093+1 91241 Y 1998 Divides Fermat F(303088); GF(303088,3), GF(303086,6), GF(303092,10), GF(303088,12), GF(303092,5) [g0] 522 15*2^300488+1 90458 p114 2002 Divides GF(300479,6), GF(300484,10) 523 99995*10^87092-1 87097 p199 2006 Near-repdigit 524 211*2^287388+1 86515 p43 2004 Divides Fermat F(287384) 525 5*10^85142-1 85143 g243 2005 Near-repdigit 526 51*2^282719+1 85109 g196 2002 Divides Fermat F(282717) 527 21480!-1 83727 p65 2001 Factorial 528 41*2^274897+1 82754 g305 2004 Divides GF(274896,10) 529 63*2^270094+1 81309 gt 2002 Divides Fermat F(270091) 530 (10^40293-1)^2-2 80586 p48 2004 Near-repdigit 531 262419*2^262419+1 79002 DS 1998 Cullen 532 5*10^78790-1 78791 g243 2005 Near-repdigit 533d 648621027630345*2^253825-1 76424 x24 2009 Sophie Germain (2p+1) 534d 620366307356565*2^253825-1 76424 x24 2009 Sophie Germain (2p+1) 535d 648621027630345*2^253824-1 76424 x24 2009 Sophie Germain (p) 536d 620366307356565*2^253824-1 76424 x24 2009 Sophie Germain (p) 537 8*10^74318-1 74319 g243 2004 Near-repdigit 538 99995*10^73668-1 73673 p199 2006 Near-repdigit 539 10^72500-7*10^25509-1 72500 p48 2003 Near-repdigit 540 96*10^71600-1 71602 p194 2006 Near-repdigit 541 99998*10^69842-1 69847 p199 2006 Near-repdigit 542 2^216091-1 65050 S 1985 Mersenne 31 543 3*2^213321+1 64217 Y 1997 Divides Fermat F(213319); GF(213319,5), GF(213316,6), GF(213319,12) [g0] 544 145823#+1 63142 p21 2000 Primorial 545 2^203789+2^101895+1 61347 O 2000 Gaussian Mersenne norm 34 546 197*2^202534-1 60972 L40 2004 Arithmetic progression (1,d=17*2^429318-197*2^202534) [p162] 547 2003663613*2^195000+1 58711 L202 2007 Twin (p+2) 548 2003663613*2^195000-1 58711 L202 2007 Twin (p) 549f 607095*2^176312-1 53081 L983 2009 Sophie Germain (2p+1) 550f 607095*2^176311-1 53081 L983 2009 Sophie Germain (p) 551 48047305725*2^172404-1 51910 L99 2007 Sophie Germain (2p+1) 552 48047305725*2^172403-1 51910 L99 2007 Sophie Germain (p) 553 137211941292195*2^171961-1 51780 x24 2006 Sophie Germain (2p+1) 554 194772106074315*2^171960+1 51780 x24 2007 Twin (p+2) 555 194772106074315*2^171960-1 51780 x24 2007 Twin (p) 556 137211941292195*2^171960-1 51780 x24 2006 Sophie Germain (p) 557 100314512544015*2^171960+1 51780 x24 2006 Twin (p+2) 558 100314512544015*2^171960-1 51780 x24 2006 Twin (p) 559 16869987339975*2^171960+1 51779 x24 2005 Twin (p+2) 560 16869987339975*2^171960-1 51779 x24 2005 Twin (p) 561 33218925*2^169690+1 51090 g259 2002 Twin (p+2) 562 33218925*2^169690-1 51090 g259 2002 Twin (p) 563 2^160423-2^80212+1 48293 O 2000 Gaussian Mersenne norm 33 564 primV(40395,-1,15588) 47759 x23 2007 Generalized Lucas primitive part 565 primV(53394,-1,15264) 47200 CH4 2007 Generalized Lucas primitive part 566 151023*2^151023-1 45468 g25 1998 Woodall 567 71509*2^143019-1 43058 g23 1998 Woodall, arithmetic progression (2,d=(143018*2^83969-80047)*2^59049) [x12] 568 2^132049-1 39751 S 1983 Mersenne 30 569c 163221*2^124601+1 37514 L983 2009 Cunningham chain 2nd kind (2p-1) 570c 163221*2^124600+1 37514 L983 2009 Cunningham chain 2nd kind (p) 571 33759183*2^123459-1 37173 L527 2009 Sophie Germain (2p+1) 572 33759183*2^123458-1 37173 L527 2009 Sophie Germain (p) 573 (28839^8317-1)/28838 37090 CH6 2006 Generalized repunit 574 7068555*2^121302-1 36523 L100 2005 Sophie Germain (2p+1) 575 7068555*2^121301-1 36523 L100 2005 Sophie Germain (p) 576 307259241*2^115599+1 34808 g336 2009 Twin (p+2) 577 307259241*2^115599-1 34808 g336 2009 Twin (p) 578 primV(38513,-1,11502) 34668 x23 2006 Generalized Lucas primitive part 579 2540041185*2^114730-1 34547 g294 2003 Sophie Germain (2p+1) 580 2540041185*2^114729-1 34547 g294 2003 Sophie Germain (p) 581 60194061*2^114689+1 34533 g294 2002 Twin (p+2) 582 60194061*2^114689-1 34533 g294 2002 Twin (p) 583 primV(9008,1,16200) 34168 x23 2005 Generalized Lucas primitive part 584 2^110503-1 33265 WC 1988 Mersenne 29 585 108615*2^110342+1 33222 L113 2008 Twin (p+2) 586 108615*2^110342-1 33222 L113 2008 Twin (p) 587 1124044292325*2^108000-1 32524 L99 2006 Sophie Germain (2p+1) 588 1124044292325*2^107999-1 32523 L99 2006 Sophie Germain (p) 589 112886032245*2^108001-1 32523 L99 2006 Sophie Germain (2p+1) 590 112886032245*2^108000-1 32523 L99 2006 Sophie Germain (p) 591 1765199373*2^107520+1 32376 g182 2002 Twin (p+2) 592 1765199373*2^107520-1 32376 g182 2002 Twin (p) 593 318032361*2^107001+1 32220 p100 2001 Twin (p+2) 594 318032361*2^107001-1 32220 p100 2001 Twin (p) 595 2^106693+2^53347+1 32118 O 2000 Gaussian Mersenne norm 32 596d 532323*2^104390+1 31431 L983 2009 Cunningham chain 2nd kind (2p-1) 597d 532323*2^104389+1 31430 L983 2009 Cunningham chain 2nd kind (p) 598 primV(10987,1,14400) 31034 x25 2005 Generalized Lucas primitive part 599c 38588805195*2^100003-1 30115 L95 2009 Sophie Germain (2p+1) 600c 4501763715*2^100006+1 30115 L95 2009 Twin (p+2) 601c 4501763715*2^100006-1 30115 L95 2009 Twin (p) 602c 38588805195*2^100002-1 30115 L95 2009 Sophie Germain (p) 603c 15744710163*2^100003-1 30115 L95 2009 Sophie Germain (2p+1) 604c 35909079387*2^100001-1 30114 L95 2009 Sophie Germain (2p+1) 605c 34776437961*2^100001+1 30114 L95 2009 Twin (p+2) 606c 34776437961*2^100001-1 30114 L95 2009 Twin (p) 607c 15744710163*2^100002-1 30114 L95 2009 Sophie Germain (p) 608c 35909079387*2^100000-1 30114 L95 2009 Sophie Germain (p) 609 156733989*2^100007+1 30114 L95 2008 Twin (p+2) 610 156733989*2^100007-1 30114 L95 2008 Twin (p) 611 1046619117*2^100000+1 30113 L467 2007 Twin (p+2) 612 1046619117*2^100000-1 30113 L467 2007 Twin (p) 613c (11379^7411-1)/11378 30056 c13 2009 Generalized repunit 614 49363*2^98727-1 29725 Y 1997 Woodall 615 U(2341,-1,8819) 29712 x25 2008 Generalized Lucas number 616 18912879*2^98396-1 29628 p94 2002 Sophie Germain (2p+1) 617 18912879*2^98395-1 29628 p94 2002 Sophie Germain (p) 618 1807318575*2^98305+1 29603 g216 2001 Twin (p+2) 619 1807318575*2^98305-1 29603 g216 2001 Twin (p) 620 primV(24127,-1,6718) 29433 CH3 2005 Generalized Lucas primitive part 621 744678855*2^95000+1 28607 L922 2009 Twin (p+2) 622 744678855*2^95000-1 28607 L922 2009 Twin (p) 623 primV(205011) 28552 x39 2009 Lucas primitive part 624 U(16531,1,6721)-U(16531,1,6720) 28347 x36 2007 Lehmer number 625 581627055*2^93182+1 28060 p35 2009 Cunningham chain 2nd kind (2p-1) 626 581627055*2^93181+1 28060 p35 2009 Cunningham chain 2nd kind (p) 627 90825*2^90825+1 27347 Y 1997 Cullen 628 primV(5673,1,13500) 27028 CH3 2005 Generalized Lucas primitive part 629 3364553235*2^88889-1 26768 L652 2009 Sophie Germain (2p+1) 630 3364553235*2^88888-1 26768 L652 2009 Sophie Germain (p) 631 primV(44368,1,9504) 26768 CH3 2005 Generalized Lucas primitive part 632 (3429^7549-1)/3428 26684 c13 2009 Generalized repunit 633 primV(10986,-1,9756) 26185 x23 2005 Generalized Lucas primitive part 634 2^86243-1 25962 S 1982 Mersenne 28 635 primV(11076,-1,12000) 25885 x25 2005 Generalized Lucas primitive part 636 2^85237+2^42619+1 25659 x16 2000 Gaussian Mersenne norm 31 637c 23321624*3^53005+1 25298 p263 2009 Twin (p+2) 638c 23321624*3^53005-1 25298 p263 2009 Twin (p) 639 primV(42,-1,23376) 25249 x23 2007 Generalized Lucas primitive part 640 primV(7577,-1,10692) 25140 x33 2007 Generalized Lucas primitive part 641 primV(44573,-1,10125) 25105 CH4 2007 Generalized Lucas primitive part 642d 1035928263*2^83200+1 25055 p252 2009 Twin (p+2) 643d 1035928263*2^83200-1 25055 p252 2009 Twin (p) 644 10495740081*2^83126-1 25034 L99 2006 Sophie Germain (2p+1) 645 10495740081*2^83125-1 25034 L99 2006 Sophie Germain (p) 646 7473214125*2^83125+1 25033 L99 2006 Twin (p+2) 647 7473214125*2^83125-1 25033 L99 2006 Twin (p) 648 61078155*2^82003-1 24694 L99 2006 Sophie Germain (2p+1) 649 61078155*2^82002-1 24693 L99 2006 Sophie Germain (p) 650 primV(19285,1,10800) 24683 x25 2005 Generalized Lucas primitive part 651 (13096^5953-1)/13095 24506 CH6 2007 Generalized repunit 652 1213822389*2^81132-1 24433 g250 2002 Sophie Germain (2p+1) 653 1213822389*2^81131-1 24432 g250 2002 Sophie Germain (p) 654 primV(2425,1,13500) 24370 x23 2006 Generalized Lucas primitive part 655 3853775193*2^80001+1 24093 L109 2007 Cunningham chain 2nd kind (2p-1) 656 3853775193*2^80000+1 24092 L109 2007 Cunningham chain 2nd kind (p) 657 primV(14261,1,10800) 23928 x23 2005 Generalized Lucas primitive part 658 primV(13964,1,8856) 23876 CH3 2005 Generalized Lucas primitive part 659 primV(3464,1,6722) 23786 x23 2006 Generalized Lucas primitive part 660 1504084599*2^78342+1 23593 g290 2004 Cunningham chain 2nd kind (2p-1) 661 1504084599*2^78341+1 23593 g290 2004 Cunningham chain 2nd kind (p) 662 6917!-1 23560 g1 1998 Factorial 663 (89^11971-1)/88 23335 CH2 2009 Generalized repunit 664 (23151^5347-1)/23150 23333 c13 2008 Generalized repunit 665 2^77291+2^38646+1 23267 O 2000 Gaussian Mersenne norm 30 666 primV(3711,1,9882) 23131 x25 2005 Generalized Lucas primitive part 667 (5855^6121-1)/5854 23058 CH1 2005 Generalized repunit 668 primV(20384,1,5281) 22754 x25 2003 Generalized Lucas primitive part, cyclotomy 669 64670473*2^74147+3 22329 g422 2009 Sophie Germain (2p+1) 670 64670473*2^74146+1 22328 L446 2009 Sophie Germain (p) 671f 232197*2^73458-1 22119 L983 2009 Sophie Germain (2p+1) 672f 232197*2^73457-1 22119 L983 2009 Sophie Germain (p) 673 U(19258,-1,5039) 21586 x23 2007 Generalized Lucas number 674 6380!+1 21507 g1 1998 Factorial 675 U(15631,1,5040)-U(15631,1,5039) 21134 x25 2003 Lehmer number 676 ((((((2521008887^3+80)^3+12)^3+450)^3+894)^3+3636)^3+70756)^3+97220 20562 FE1 2006 ECPP, Mills' prime 677 U(11200,-1,5039) 20400 x25 2004 Generalized Lucas number, cyclotomy 678 (9473^4969-1)/9472 19756 CH2 2008 Generalized repunit 679 (14261^4663-1)/14260 19367 c13 2007 Generalized repunit 680 U(6584,-1,5039) 19238 x23 2007 Generalized Lucas number 681 (13782^4591-1)/13781 19000 c13 2007 Generalized repunit 682 (15637^4513-1)/15636 18925 c13 2007 Generalized repunit 683 42209#+1 18241 p8 1999 Primorial 684 7457*2^59659+1 17964 Y 1997 Cullen 685 (18067^4201-1)/18066 17879 c13 2002 Generalized repunit 686 (19026^4051-1)/19025 17332 c13 2008 Generalized repunit 687 U(9657,1,4321)-U(9657,1,4320) 17215 x23 2005 Lehmer number 688 U(81839) 17103 p54 2001 Fibonacci number 689 (4735^4621-1)/4734 16980 CH3 2005 Generalized repunit 690 (11031^4177-1)/11030 16882 p54 2005 Generalized repunit 691 U(15823,1,3960)-U(15823,1,3959) 16625 x25 2002 Lehmer number, cyclotomy 692 U(10803,1,4081)-U(10803,1,4080) 16457 x25 2005 Lehmer number, cyclotomy 693 U(11091,-1,4049) 16375 CH3 2005 Generalized Lucas number 694 U(2554,-1,4751) 16185 CH3 2005 Generalized Lucas number 695 U(1599,-1,5039) 16141 x23 2007 Generalized Lucas number 696 U(10853,1,3960)+U(10853,1,3959) 15977 x25 2002 Lehmer number, cyclotomy 697 U(9667,1,3960)-U(9667,1,3959) 15778 x25 2002 Lehmer number, cyclotomy 698 U(14257,-1,3779) 15694 x25 2004 Generalized Lucas number, cyclotomy 699c (5024^4201-1)/5023 15545 CH6 2009 Generalized repunit 700c (683^5483-1)/682 15539 c13 2009 Generalized repunit 701 (U(9275,1,3961)+U(9275,1,3960))/(U(9275,1,45)+U(9275,1,44)) 15537 x38 2009 Lehmer primitive part 702 (15134^3697-1)/15133 15450 CH6 2007 Generalized repunit 703 (16339^3613-1)/16338 15219 c13 2008 Generalized repunit 704 2638^4405+4405^2638 15071 FE3 2004 ECPP 705 (4018^4177-1)/4017 15051 c13 2008 Generalized repunit 706 U(8747,1,3780)+U(8747,1,3779) 14897 x25 2005 Lehmer number 707 (2147483647^1597-1)/1361551397315358942 14885 FE7 2009 ECPP 708 U(25700,1,3360)+U(25700,1,3359) 14813 x25 2004 Lehmer number, cyclotomy 709 2^49207-2^24604+1 14813 x16 2000 Gaussian Mersenne norm 29 710 U(1493,-1,4621) 14665 CH3 2005 Generalized Lucas number 711 U(4951,1,3960)-U(4951,1,3959) 14628 CH3 2005 Lehmer number 712 U(12924,-12925,3499) 14382 x25 2005 Generalized Lucas number 713 U(12113,-1,3499) 14284 CH3 2005 Generalized Lucas number 714 U(5192,1,3841)-U(5192,1,3840) 14267 x23 2005 Lehmer number 715 U(2441,-1,4201) 14228 CH3 2005 Generalized Lucas number 716 U(3865,1,3960)+U(3865,1,3959) 14202 x25 2002 Lehmer number, cyclotomy 717 U(3645,1,3841)-U(3645,1,3840) 13677 x25 2005 Lehmer number 718 U(11194,-11195,3361) 13605 x25 2004 Generalized Lucas number 719 U(2219,-1,4049) 13546 CH3 2005 Generalized Lucas number 720 U(475,-1,5039) 13486 x25 2003 Generalized Lucas number, cyclotomy 721 U(7644,1,3421)-U(7644,1,3420) 13281 CH3 2005 Lehmer number 722 U(10206,1,3276)-U(10206,1,3275) 13130 x23 2005 Lehmer number 723 U(7537,-7538,3361) 13028 x23 2007 Generalized Lucas number 724 U(7512,-7513,3361) 13023 x25 2004 Generalized Lucas number 725 U(2783,-1,3779) 13014 CH3 2005 Generalized Lucas number 726 U(7128,-1,3361) 12946 x25 2004 Generalized Lucas number, cyclotomy 727 (2^42737+1)/3 12865 M 2007 ECPP, generalized Lucas number, Wagstaff 728 U(12159,1,3150)-U(12159,1,3149) 12864 x25 2005 Lehmer number, cyclotomy 729 U(5485,1,3421)+U(5485,1,3420) 12788 CH3 2005 Lehmer number 730 (V(49596,1,3375)+1)/(V(49596,1,675)+1) 12678 x25 2006 Lehmer primitive part 731 (V(47025,1,3375)-1)/(V(47025,1,675)-1) 12616 x25 2006 Lehmer primitive part 732 (V(44524,1,3375)-1)/(V(44524,1,675)-1) 12552 x23 2006 Lehmer primitive part 733 U(6393,1,3276)-U(6393,1,3275) 12464 x25 2005 Lehmer number, cyclotomy 734 (V(37511,1,3375)-1)/(V(37511,1,675)-1) 12351 x25 2006 Lehmer primitive part 735 (V(32362,1,3375)+1)/(V(32362,1,675)+1) 12178 x23 2006 Lehmer primitive part 736 U(4857,1,3300)-U(4857,1,3299) 12162 x25 2005 Lehmer number, cyclotomy 737 (V(30226,1,3375)-1)/(V(30226,1,675)-1) 12098 x25 2006 Lehmer primitive part 738 primV(57724) 12063 p54 2001 Lucas primitive part, cyclotomy 739 U(5989,1,3169)-U(5989,1,3168) 11967 x25 2005 Lehmer number 740 111871891*27751#+1 11961 p155 2008 Arithmetic progression (4,d=3624707*27751#) 741 103098395*27751#+1 11961 p155 2007 Arithmetic progression (4,d=809963*27751#) 742 102293041*27751#+1 11961 p155 2007 Arithmetic progression (4,d=412064*27751#) 743 V(56003) 11704 p193 2006 Lucas number 744 primU(67825) 11336 x23 2007 Fibonacci primitive part 745 3610!-1 11277 C 1993 Factorial 746 (V(11258,1,3375)+1)/(V(11258,1,675)+1) 10939 x23 2006 Lehmer primitive part 747 3507!-1 10912 C 1992 Factorial 748 (V(10638,1,3375)-1)/(V(10638,1,675)-1) 10873 x25 2006 Lehmer primitive part 749 (V(983,1,3609)-1)/(V(983,1,9)-1) 10774 x23 2006 Lehmer primitive part 750 primV(77058) 10729 CH3 2005 Lucas primitive part 751 (V(9352,1,3375)+1)/(V(9352,1,675)+1) 10722 x25 2005 Lehmer primitive part 752 V(51169) 10694 p54 2001 Lucas number 753 U(50833) 10624 CH4 2005 Fibonacci number 754 46915147*2^35000+1 10544 p43 2007 Arithmetic progression (4,d=9548007*2^35000) 755 (V(7792,1,3375)-1)/(V(7792,1,675)-1) 10508 x25 2006 Lehmer primitive part 756 primV(77841) 10496 x25 2005 Lucas primitive part 757b 914546877*2^34774-1 10477 L983 2010 Cunningham chain (4p+3) 758b 914546877*2^34773-1 10477 L983 2010 Cunningham chain (2p+1) 759b 914546877*2^34772-1 10477 L983 2010 Cunningham chain (p) 760 (V(812,1,3609)+1)/(V(812,1,9)+1) 10475 x25 2006 Lehmer primitive part 761 24029#+1 10387 C 1993 Primorial 762 6*Bern(4306)/2153 10342 FE8 2009 Irregular, ECPP 763 23801#+1 10273 C 1993 Primorial 764 59056921173*2^34030+7 10255 FE6 2009 ECPP 765 (U(11987,1,2521)-U(11987,1,2520))/(U(11987,1,36)-U(11987,1,35)) 10136 x38 2009 Lehmer primitive part 766d 2^33548+4471 10099 c18 2009 ECPP 767 1234^3265+3265^1234 10094 FE1 2005 ECPP 768 Phi(427,-10^28) 10081 FE9 2009 Unique, ECPP 769 2739^2930+2930^2739 10073 FE1 2005 ECPP 770 2072644824759*2^33333+5 10047 FE5 2008 Triplet (3), ECPP 771 2072644824759*2^33333+1 10047 L645 2008 Triplet (2) 772 2072644824759*2^33333-1 10047 L645 2008 Triplet (1) 773 409331735*2^33333+1 10043 p155 2007 Arithmetic progression (4,d=104086947*2^33333) 774 648^3571+3571^648 10041 M 2003 ECPP 775 10^9999+33603 10000 FE2 2003 ECPP 776 (U(10227,1,2521)+U(10227,1,2520))/(U(10227,1,36)+U(10227,1,35)) 9965 x38 2009 Lehmer primitive part 777 (V(8259,1,2517)-1)/(V(8259,1,3)-1) 9848 x25 2005 Lehmer primitive part 778 32469*2^32469+1 9779 MM 1997 Cullen 779 8073*2^32294+1 9726 MM 1997 Cullen 780 (U(6954,1,2521)-U(6954,1,2520))/(U(6954,1,36)-U(6954,1,35)) 9548 x38 2009 Lehmer primitive part 781 V(44507) 9302 CH3 2005 Lucas number 782 2658^2659+2659^2658 9106 FE1 2005 ECPP 783 13^8148+2716^2197 9077 M 2005 ECPP 784 (V(2247,1,3375)-1)/(V(2247,1,675)-1) 9050 x25 2006 Lehmer primitive part 785 (V(3798,1,2529)-1)/(V(3798,1,9)-1) 9021 x25 2006 Lehmer primitive part 786 2319^2680+2680^2319 9020 M 2004 ECPP 787 (V(8162,1,2307)-1)/(V(8162,1,3)-1) 9013 x25 2005 Lehmer primitive part 788 2^29727+20273 8949 c18 2009 ECPP 789b Phi(6105,-1000) 8641 c47 2010 Unique, ECPP 790c Phi(4667,-100) 8593 c47 2009 Unique, ECPP 791 2^27529-2^13765+1 8288 O 2000 Gaussian Mersenne norm 28 792 primV(39124) 8176 CH3 2005 Lucas primitive part 793d 379185609*2^27129-1 8176 L983 2009 Cunningham chain (4p+3) 794d 379185609*2^27128-1 8175 L983 2009 Cunningham chain (2p+1) 795d 379185609*2^27127-1 8175 L983 2009 Cunningham chain (p) 796 Phi(1887,-11758041)/(7549*19070968058734261) 8125 c13 2009 ECPP 797 18523#+1 8002 D 1989 Primorial 798 164210699973*2^26328-1 7937 p158 2006 Cunningham chain (4p+3) 799 164210699973*2^26327-1 7937 p158 2006 Cunningham chain (2p+1) 800 164210699973*2^26326-1 7937 p158 2006 Cunningham chain (p) 801 U(37511) 7839 x13 2005 Fibonacci number 802 -E(2762)/2670541 7760 c11 2004 Euler irregular, ECPP 803 V(36779) 7687 CH3 2005 Lucas number 804 197418203*2^25000+6089 7535 FE4 2005 ECPP, consecutive primes arithmetic progression (3,d=6090) 805 197418203*2^25000-1 7535 p164 2005 Consecutive primes arithmetic progression (2,d=6090) 806 197418203*2^25000-6091 7535 FE4 2005 ECPP, consecutive primes arithmetic progression (1,d=6090) 807 U(35999) 7523 p54 2001 Fibonacci number, cyclotomy 808 Phi(4029,-1000) 7488 c47 2009 Unique, ECPP 809 V(35449) 7409 p12 2001 Lucas number 810 87*2^24582+2579 7402 c31 2004 ECPP, consecutive primes arithmetic progression (3,d=1290) 811 87*2^24582+1289 7402 c31 2004 ECPP, consecutive primes arithmetic progression (2,d=1290) 812 87*2^24582-1 7402 g106 1999 Consecutive primes arithmetic progression (1,d=1290) [c31] 813 V(34759)/27112021 7257 c33 2005 Lucas cofactor, ECPP 814 Phi(9455,-10) 7200 c33 2005 Unique, ECPP 815e Phi(1479,-100000000) 7168 c47 2009 Unique, ECPP 816 164084347*16229#+1 7009 p155 2009 Arithmetic progression (5,d=20333209*16229#) 817 primA(82975) 6935 p54 2001 Lucas Aurifeuillian primitive part 818 23005*2^23005-1 6930 Y 1997 Woodall 819 22971*2^22971-1 6920 Y 1997 Woodall 820 2852851249*16001#/5+1 6913 p199 2008 Arithmetic progression (5,d=2653152*16001#) 821 2399771561*16001#/5+1 6913 p199 2008 Arithmetic progression (5,d=86574302*16001#) 822 1638535589*16001#/5+1 6913 p199 2008 Arithmetic progression (5,d=2003735*16001#) 823 Phi(2405,-10000) 6912 c47 2009 Unique,ECPP 824 15877#-1 6845 CD 1992 Primorial 825 Phi(10887,10) 6841 c33 2005 Unique, ECPP 826 primV(48381) 6741 x23 2005 Lucas primitive part 827 primU(40295) 6737 p12 2001 Fibonacci primitive part 828 primV(39700) 6621 p54 2001 Lucas primitive part 829 U(30757) 6428 p54 2001 Fibonacci number, cyclotomy 830 U(30671)/1141737296775689 6395 c41 2005 Fibonacci cofactor, ECPP 831 Phi(7357,-10) 6301 c33 2004 Unique, ECPP 832 Phi(6437,10) 6240 c47 2008 Unique, ECPP 833f (2^20887-1)/(694257144641*3156563122511*28533972487913*189380444251383\ 6092687) 6229 c4 2009 Mersenne cofactor, ECPP 834 5612052289*14489#/5+5 6223 c18 2008 Triplet (3), ECPP 835 5612052289*14489#/5+1 6223 p41 2008 Triplet (2) 836 5612052289*14489#/5-1 6223 p41 2008 Triplet (1) 837 4811*2^20219+1 6091 DM 1996 Consecutive primes arithmetic progression (3,d=3738) [c36] 838 4811*2^20219-3737 6091 c36 2004 ECPP, consecutive primes arithmetic progression (2,d=3738) 839 4811*2^20219-7475 6091 c36 2004 ECPP, consecutive primes arithmetic progression (1,d=3738) 840d primV(29657) 6057 c11 2009 Lucas primitive part, ECPP 841 3020255265*2^20025-1 6038 p133 2005 Cunningham chain (4p+3) 842 3020255265*2^20024-1 6038 p133 2005 Cunningham chain (2p+1) 843 3020255265*2^20023-1 6038 p133 2005 Cunningham chain (p) 844 primV(28844) 6028 p12 2001 Lucas primitive part 845a p(29099391) 6002 c39 2010 Partitions, ECPP 846 13649#+1 5862 D 1987 Primorial 847c 55339803*2^19402+1 5849 L983 2009 Cunningham chain 2nd kind (4p-3) 848 18885*2^18885-1 5690 K 1987 Woodall 849 1963!-1 5614 CD 1992 Factorial 850 13033#-1 5610 CD 1992 Primorial 851f p(25235715) 5588 c46 2009 Partitions, ECPP 852 p(25102542) 5574 c39 2009 Partitions, ECPP 853 289*2^18502+1 5573 K 1984 Cullen, generalized Fermat 854 p(24512858) 5508 c42 2007 Partitions, ECPP 855 p(24503300) 5507 c42 2007 Partitions, ECPP 856a primV(35620) 5458 c48 2010 Lucas primitive part, ECPP 857e 387977793*2^17866+1 5387 L983 2009 Cunningham chain 2nd kind (4p-3) 858 U(25561) 5342 p54 2001 Fibonacci number 859 p(23028252) 5338 c42 2008 Partitions, ECPP 860 p(23010067) 5336 c42 2007 Partitions, ECPP 861 primV(25504) 5324 F3 2001 Lucas primitive part, APR-CL assisted 862 p(22857207) 5318 c46 2009 Partitions, ECPP 863e p(22810361) 5313 c46 2009 Partitions, ECPP 864f (2^17683-1)/(234000819833373807217*62265855698776681155719328257) 5274 c4 2009 Mersenne cofactor, ECPP 865 p(22312025) 5254 c39 2007 Partitions, ECPP 866 2366867925*2^17208+1 5190 p133 2004 Cunningham chain 2nd kind (4p-3) 867 (99241437759*205881*4001#*(205881*4001#+1)+210)*(205881*4001#-1)/35+7 5132 p179 2006 Triplet (3) 868 (99241437759*205881*4001#*(205881*4001#+1)+210)*(205881*4001#-1)/35+5 5132 p179 2006 Triplet (2) 869 (99241437759*205881*4001#*(205881*4001#+1)+210)*(205881*4001#-1)/35+1 5132 p179 2006 Triplet (1) 870 (91456744909*205881*4001#*(205881*4001#+1)+210)*(205881*4001#-1)/35+11 5132 p179 2006 Triplet (3) 871 (91456744909*205881*4001#*(205881*4001#+1)+210)*(205881*4001#-1)/35+7 5132 p179 2006 Triplet (2) 872 (91456744909*205881*4001#*(205881*4001#+1)+210)*(205881*4001#-1)/35+5 5132 p179 2006 Triplet (1) 873 (84055657369*205881*4001#*(205881*4001#+1)+210)*(205881*4001#-1)/35+13 5132 p179 2006 Consecutive primes arithmetic progression (3,d=6) 874 (84055657369*205881*4001#*(205881*4001#+1)+210)*(205881*4001#-1)/35+7 5132 p179 2006 Consecutive primes arithmetic progression (2,d=6) 875 (84055657369*205881*4001#*(205881*4001#+1)+210)*(205881*4001#-1)/35+1 5132 p179 2006 Consecutive primes arithmetic progression (1,d=6) 876 (63140956174*205881*4001#*(205881*4001#+1)+210)*(205881*4001#-1)/35+7 5132 p179 2005 Triplet (3) 877 (63140956174*205881*4001#*(205881*4001#+1)+210)*(205881*4001#-1)/35+5 5132 p179 2005 Triplet (2) 878 (63140956174*205881*4001#*(205881*4001#+1)+210)*(205881*4001#-1)/35+1 5132 p179 2005 Triplet (1) 879 (61310346529*205881*4001#*(205881*4001#+1)+210)*(205881*4001#-1)/35+13 5132 p179 2005 Consecutive primes arithmetic progression (3,d=6) 880 (61310346529*205881*4001#*(205881*4001#+1)+210)*(205881*4001#-1)/35+7 5132 p179 2005 Consecutive primes arithmetic progression (2,d=6) 881 (61310346529*205881*4001#*(205881*4001#+1)+210)*(205881*4001#-1)/35+1 5132 p179 2005 Consecutive primes arithmetic progression (1,d=6) 882 (51803036889*205881*4001#*(205881*4001#+1)+210)*(205881*4001#-1)/35+7 5132 p179 2007 Arithmetic progression (5,d=(681402540*205881*4001#*(205881*4001#+1)*(205881*4001#-1)/35)) 883 (2^17029-1)/418879343 5118 c8 2006 Mersenne cofactor, ECPP 884 33957462*Bern(2370)/40685 5083 c11 2003 Irregular, ECPP 885 primV(24998) 5033 c48 2008 Lucas primitive part, ECPP 886 16219299585*2^16614-1 5012 p158 2005 Cunningham chain (4p+3) 887 16219299585*2^16613-1 5012 p158 2005 Cunningham chain (2p+1) 888 16219299585*2^16612-1 5011 p158 2005 Cunningham chain (p) 889 p(20186952) 4998 c46 2009 Partitions, ECPP 890 primA(95475) 4966 c4 2009 Lucas Aurifeuillian primitive part, ECPP 891 11549#+1 4951 D 1986 Primorial 892f primV(24383) 4951 c4 2009 Lucas primitive part, ECPP 893f primV(27167) 4866 c4 2009 Lucas primitive part, ECPP 894 primV(28940) 4836 c4 2009 Lucas primitive part, ECPP 895 7911*2^15823-1 4768 K 1987 Woodall 896 V(22811)/(2469062641*84961206854418761) 4741 c8 2004 Lucas cofactor, ECPP 897 primU(25493) 4695 c8 2007 Fibonacci primitive part, ECPP 898 p(17819598) 4695 c46 2009 Partitions, ECPP 899 1793349831*2^15257+1 4603 p133 2004 Cunningham chain 2nd kind (4p-3) 900 p(17120312) 4602 c39 2007 Partitions, ECPP 901 p(17120303) 4602 c39 2007 Partitions, ECPP 902 1110159213*2^15166+1 4575 g250 2002 Cunningham chain 2nd kind (4p-3) 903 primB(95655) 4564 c4 2009 Lucas Aurifeuillian primitive part, ECPP 904 Phi(6685,-10) 4560 c8 2003 Unique, ECPP 905 primV(29810) 4515 c8 2004 Lucas primitive part, ECPP 906 E(1736)/(55695515*75284987831*3222089324971117) 4498 c4 2004 Euler irregular, ECPP 907 U(21577)/(8626362776257*608114436652075009) 4479 c8 2004 Fibonacci cofactor, ECPP 908 p(16102957) 4463 c46 2009 Partitions, ECPP 909 p(16026516) 4452 c39 2006 Partitions, ECPP 910 primU(34593) 4444 c8 2007 Fibonacci primitive part, ECPP 911 primA(53155) 4444 x25 2002 Lucas Aurifeuillian primitive part, cyclotomy 912 2^14699+2^7350+1 4425 O 2000 Gaussian Mersenne norm 27 913 primU(38181) 4414 c8 2007 Fibonacci primitive part, ECPP 914 primA(52825) 4414 x25 2003 Lucas Aurifeuillian primitive part 915 primB(79125) 4389 c4 2009 Lucas Aurifeuillian primitive part, ECPP 916 p(15502228) 4379 c46 2009 Partitions, ECPP 917 p(15446832) 4371 c8 2006 Partitions, ECPP 918 p(15432340) 4369 c8 2006 Partitions, ECPP 919 p(15421217) 4367 c8 2006 Partitions, ECPP 920 (2^14561-1)/8074991336582835391 4365 c8 2004 Mersenne cofactor, ECPP 921 (2^14621-1)/(1958650799081*9787919624201558678734079) 4365 c4 2008 Mersenne cofactor, ECPP 922 Phi(3273,-100) 4361 c8 2003 Unique, ECPP 923 (2^14479+1)/3 4359 c4 2004 Generalized Lucas number, Wagstaff, ECPP 924 Phi(1087,-10000) 4344 c8 2002 Unique, ECPP 925 primB(56815) 4314 c4 2009 Lucas Aurifeuillian primitive part, ECPP 926 primV(20578) 4301 p54 2001 Lucas primitive part 927 primU(21053) 4274 c8 2007 Fibonacci primitive part, ECPP 928 primU(31209) 4264 c8 2007 Fibonacci primitive part, ECPP 929 primV(21298) 4249 c4 2009 Lucas primitive part, ECPP 930 Phi(483,-10^16) 4224 c8 2002 Unique, ECPP 931 276474*Bern(2030)/(19426085*24191786327543) 4200 c8 2003 Irregular, ECPP 932 primU(25115) 4199 CH3 2005 Fibonacci primitive part 933 primU(30687) 4173 c8 2007 Fibonacci primitive part, ECPP 934 V(19469) 4069 x25 2002 Lucas number, cyclotomy, APR-CL assisted 935 1477!+1 4042 D 1984 Factorial 936 U(19433)/(8200903423639793*124790158973035710313*163702910239586286961\ 573) 4002 c8 2004 Fibonacci cofactor, ECPP 937 primV(19148) 4001 p12 2001 Lucas primitive part 938 U(19051)/44198321 3974 c8 2004 Fibonacci cofactor, ECPP 939 U(18919)/1497228584233 3942 c8 2004 Fibonacci cofactor, ECPP 940 primU(22939) 3933 c8 2007 Fibonacci primitive part, ECPP 941 Phi(1959,1000) 3912 c8 2002 Unique, ECPP 942 primA(52855) 3888 c4 2009 Lucas Aurifeuillian primitive part, ECPP 943 primU(23009) 3883 c8 2007 Fibonacci primitive part, ECPP 944 primV(18857) 3882 c4 2009 Lucas primitive part, ECPP 945 -2730*Bern(1884)/100983617849 3844 c8 2003 Irregular, ECPP 946 2840178*Bern(1870)/85 3821 c8 2003 Irregular, ECPP 947 U(18427)/(1828363793*23130933997*11364458229549793) 3815 c8 2004 Fibonacci cofactor, ECPP 948 Phi(955,-100000) 3801 c8 2002 Unique, ECPP 949 -197676570*18851280661*Bern(1836)/(59789*3927024469727) 3734 c8 2003 Irregular, ECPP 950 12379*2^12379-1 3731 K 1984 Woodall 951 (2^12391+1)/3 3730 M 1996 Generalized Lucas number, Wagstaff 952 (2^12451-1)/(4980401*15289230353*1143390212315192593598809) 3708 c4 2008 Mersenne cofactor, ECPP 953 primU(32985) 3672 x23 2007 Fibonacci primitive part 954 E(1468)/(95*217158949445380764696306893*597712879321361736404369071) 3671 c4 2003 Euler irregular, ECPP 955 642*Bern(1802)/15720728189 3641 c8 2003 Irregular, ECPP 956 primA(42685) 3568 c46 2008 Lucas Aurifeuillian primitive part 957 U(17137)/328335144266897 3567 c8 2004 Fibonacci cofactor, ECPP 958 primU(18689) 3549 c8 2007 Fibonacci primitive part, ECPP 959 U(17011)/42109783293497 3542 c8 2004 Fibonacci cofactor 960 V(17029)/(9570299*495749440031) 3541 c8 2004 Lucas cofactor, ECPP 961 (2^11813-1)/(70879*207971134271377) 3537 c8 2002 Mersenne cofactor, ECPP 962 primU(41055) 3531 c8 2007 Fibonacci primitive part, ECPP 963 primA(45565) 3512 c4 2009 Lucas Aurifeuillian primitive part, ECPP 964 primU(34515) 3491 c8 2003 Fibonacci primitive part, ECPP 965 primU(20665) 3455 DK 1999 Fibonacci primitive part 966 primU(24699) 3441 p54 2001 Fibonacci primitive part 967 (2^11279+1)/3 3395 PM 1998 Cyclotomy, generalized Lucas number, Wagstaff 968 U(16369)/(299022540829*8523458822385578881) 3391 c8 2004 Fibonacci cofactor, ECPP 969 primU(17221) 3385 c8 2003 Fibonacci primitive part, ECPP 970 Phi(6135,10) 3265 c8 2001 Unique, ECPP 971 V(15511)/394599841 3234 c8 2004 Lucas cofactor, ECPP 972 primU(23211) 3233 DK 1999 Fibonacci primitive part 973 (2^10691+1)/3 3218 c4 2004 Generalized Lucas number, Wagstaff, ECPP 974 primA(41665) 3211 c8 2003 Lucas Aurifeuillian primitive part, ECPP 975 (2^10501+1)/3 3161 M 1996 Generalized Lucas number, Wagstaff 976 V(14887)/1256071867381 3100 c8 2004 Lucas cofactor 977 Phi(3341,-10) 3073 c8 2001 Unique, ECPP 978 2^10141+2^5071+1 3053 O 2000 Gaussian Mersenne norm 26 979 (2^10169-1)/10402314702094700470118039921523041260063 3022 c8 2002 Mersenne cofactor, ECPP 980 V(14449) 3020 DK 1995 Lucas number 981 U(14431) 3016 p54 2001 Fibonacci number 982 Phi(3011,-10) 3010 F2 2001 Unique, APR-CL assisted 983 (2^10007-1)/(14477908246561*136255313*10368448917257) 2979 c8 2002 Mersenne cofactor, ECPP 984 U(14177)/2199986861 2954 c8 2004 Fibonacci cofactor 985 primU(19415) 2943 c8 2003 Fibonacci primitive part, ECPP 986 V(13963) 2919 c11 2002 Lucas number, ECPP 987 primA(51945) 2894 c8 2003 Lucas Aurifeuillian primitive part, ECPP 988 (2^9697-1)/(724126946527*19092282046942032847) 2888 c8 2002 Mersenne cofactor, ECPP 989 (2^9733-1)/(2932747561*353435802999708808999*4424579967215442704801447) 2876 c4 2001 Mersenne cofactor, ECPP 990 9531*2^9531-1 2874 K 1984 Woodall 991 (2^9901-1)/(87770464009*4512717821471308759*8336998551279784091551*101\ 7688752041649660766793*25146117302614435382787771401*15024406890765276\ 20360606617623599) 2844 c2 2001 Mersenne cofactor, ECPP 992 6569#-1 2811 D 1992 Primorial 993 primB(49785) 2774 c8 2003 Lucas Aurifeuillian primitive part, ECPP 994 U(13063)/(4389169*10370895133369) 2710 c8 2004 Fibonacci cofactor 995 primA(52275) 2676 c8 2003 Lucas Aurifeuillian primitive part, ECPP 996 U(12743)/8869129 2656 c8 2004 Fibonacci cofactor 997 (2^8849-1)/(52368383*15264764469472455023) 2637 c4 2001 Mersenne cofactor, ECPP 998 primB(48375) 2634 F3 2001 Lucas Aurifeuillian primitive part, APR-CL assisted 999 V(12503)/4954888889 2604 c8 2004 Lucas cofactor 1000 primB(31145) 2603 p54 2001 Lucas Aurifeuillian primitive part 1001 Phi(3903,10) 2600 p44 2001 Unique 1002 primB(34045) 2584 c8 2003 Lucas Aurifeuillian primitive part, ECPP 1003 V(12457)/(1420099*81953391325049801) 2581 c8 2004 Lucas cofactor, ECPP 1004 -E(1078)/361898544439043 2578 c4 2002 Euler irregular, ECPP 1005 V(12251) 2561 p54 2001 Lucas number 1006 primA(47235) 2538 c8 2003 Lucas Aurifeuillian primitive part, ECPP 1007 primB(53625) 2508 c8 2003 Lucas Aurifeuillian primitive part, ECPP 1008 974!-1 2490 CD 1992 Factorial 1009 U(11807)/(231936709*1129990105451996281) 2441 c8 2004 Fibonacci cofactor, ECPP 1010 E(1028)/(6415*56837916301577) 2433 c4 2002 Euler irregular, ECPP 1011 V(11657)/69172639 2429 c8 2004 Lucas cofactor 1012 primB(45105) 2407 c8 2003 Lucas Aurifeuillian primitive part, ECPP 1013 E(1004)/(579851915*80533376783) 2364 c4 2002 Euler irregular, ECPP 1014 V(11393)/(3076111*5299498382701) 2362 c8 2004 Lucas cofactor 1015 953477584*5501#-1 2355 p133 2005 Cunningham chain (8p+7) 1016 U(11393)/(38772745844002993*2788032223609253801) 2346 c8 2004 Fibonacci cofactor, ECPP 1017 V(11261)/16823009787209 2341 c8 2004 Lucas cofactor 1018 U(11279)/(34987457*70263726073) 2339 c8 2004 Fibonacci cofactor 1019 7755*2^7755-1 2339 K 1984 Woodall 1020 V(11213)/(224261*1476324252027331181) 2320 c8 2004 Lucas cofactor, ECPP 1021 U(11093)/544296421641613 2304 c8 2004 Fibonacci cofactor 1022 (2^7757-1)/233293220467553594643512097574361 2303 c2 2001 Mersenne cofactor, ECPP 1023 (2^7673-1)/2563193011919 2298 M1 1997 Mersenne cofactor, cyclotomy 1024 V(11173)/(25206289*28583254701767411959*24018475125955094159731) 2286 c8 2004 Lucas cofactor, ECPP 1025 -2090369190*Bern(1236)/(103*939551962476779*157517441360851951) 2276 c4 2002 Irregular, ECPP 1026 -36870*Bern(1228)/1043706675925609 2272 c4 2002 Irregular, ECPP 1027 V(10691) 2235 DK 1995 Lucas number 1028 (2^7331-1)/458072843161 2196 EM 1997 Mersenne cofactor, ECPP 1029 (2^7417-1)/(1930694161304071*3888241452787718190543521) 2193 c8 2002 Mersenne cofactor, ECPP 1030 872!+1 2188 D 1983 Factorial 1031d 227928082*5011#+1 2153 p155 2009 Arithmetic progression (6,d=41724940*5011#) 1032 69705381*5003#+1 2145 p252 2009 Arithmetic progression (6,d=6632285*5003#) 1033 V(10223)/61893855542632111 2120 c8 2004 Lucas cofactor, ECPP 1034 (2^7039-1)/(1324401538053479*8541573097*218216841131937276721) 2074 c2 2001 Mersenne cofactor, ECPP 1035 -E(902)/(9756496279*314344516832998594237) 2069 c4 2002 Euler irregular, ECPP 1036 4104082046*4799#+5659 2058 c18 2005 Quadruplet (4), ECPP 1037 4104082046*4799#+5657 2058 c18 2005 Quadruplet (3), ECPP 1038 4104082046*4799#+5653 2058 c18 2005 Quadruplet (2), ECPP 1039 4104082046*4799#+5651 2058 c18 2005 Quadruplet (1), ECPP 1040 V(9839)/491951 2051 c8 2004 Lucas cofactor 1041 (2^6883-1)/(1885943*2043031664890199) 2051 M1 1997 Mersenne cofactor, cyclotomy 1042 -E(886)/68689 2051 c4 2002 Euler irregular, ECPP 1043 4787#+1 2038 D 1984 Primorial 1044 U(9677) 2023 c2 2000 Fibonacci number, ECPP 1045 U(9931)/(3079452003211541*122039293401017981*604956242930486632441) 2022 c8 2004 Fibonacci cofactor 1046 U(9967)/(120801834061*3105570884441*1047583984031437*22727240300133999\ 677*15086016388211003643481) 2003 c8 2005 Fibonacci cofactor, ECPP 1047 6611*2^6611+1 1994 K 1984 Cullen 1048 4583#-1 1953 D 1992 Primorial 1049 U(9311) 1946 DK 1995 Fibonacci number 1050 4547#+1 1939 D 1984 Primorial 1051 V(9209)/(29745071*101409509*547683904686691*4025749704474499) 1879 c8 2004 Lucas cofactor 1052 4297#-1 1844 D 1992 Primorial 1053 V(8807)/356419291 1833 c8 2004 Lucas cofactor 1054 (2^6199-1)/(46113927071*3895469424045161025776010136475884556282201) 1813 c8 2005 Mersenne cofactor, ECPP 1055 2^5900+469721940591 1777 c45 2007 Consecutive primes arithmetic progression (4,d=2880), ECPP 1056 11628008104*4127#+1 1770 p133 2005 Cunningham chain 2nd kind (8p-7) 1057 V(8467) 1770 c2 2000 Lucas number, ECPP 1058 18672891658*4099#+1591789579 1763 c14 2003 ECPP, consecutive primes arithmetic progression (4,d=210) 1059 4093#-1 1750 CD 1992 Primorial 1060 5795*2^5795+1 1749 K 1984 Cullen 1061 (2^5807+1)/3 1748 PM 1998 Cyclotomy, generalized Lucas number, Wagstaff 1062 U(8537)/(900766408671673*558828605201*17191134589117*92295773098952073\ 61) 1725 c8 2004 Fibonacci cofactor 1063 1226756544*4001#+1 1712 p133 2004 Cunningham chain 2nd kind (8p-7) 1064 U(8353)/(176465477*2184683363573*3620673479519515599362549) 1701 c8 2004 Fibonacci cofactor 1065 V(8329)/(5533286033716829*62798306322672929543921*23984131456587054365\ 62211) 1678 c8 2006 Lucas cofactor, ECPP 1066 V(7741) 1618 DK 1995 Lucas number 1067 52069470*3739#+1 1606 p155 2006 Arithmetic progression (6,d=3884057*3739#) 1068 83*2^5318-1 1603 K 1984 Woodall 1069 V(7243)/289721 1509 c8 2004 Lucas cofactor 1070 45496757*3529#+1 1503 p42 2006 Arithmetic progression (6,d=3603821*3529#) 1071 11024895887*3499#+855739 1491 c18 2003 Quadruplet (4), ECPP 1072 11024895887*3499#+855737 1491 c18 2003 Quadruplet (3), ECPP 1073 11024895887*3499#+855733 1491 c18 2003 Quadruplet (2), ECPP 1074 11024895887*3499#+855731 1491 c18 2003 Quadruplet (1), ECPP 1075 4713*2^4713+1 1423 K 1984 Cullen 1076 -54570*Bern(848)/(428478023*5051145078213134269) 1418 c4 2002 Irregular, ECPP 1077 3229#+1 1368 D 1984 Primorial 1078 -E(638)/(7235862947323*11411779188663863*526900327479624797) 1343 c4 2002 Euler irregular, ECPP 1079c 1461401630*3109#+1 1328 p252 2009 Arithmetic progression (7,d=35777939*3109#) 1080c 1425623691*3109#+1 1328 p252 2009 Arithmetic progression (6,d=35777939*3109#) 1081 41812496896*3067#-1 1316 p133 2004 Cunningham chain (8p+7) 1082 1054831232256*3061#+1 1314 p44 2003 Cunningham chain 2nd kind (8p-7) 1083 191881920*3067#-1 1314 p133 2004 Cunningham chain (8p+7) 1084 23^963+1031392866 1312 c32 2005 Consecutive primes arithmetic progression (4,d=1500) 1085 138*Bern(814)/(28409964671*335055893*351085907*520460183*30348030379*1\ 7043083582983) 1311 c4 2002 Irregular, ECPP 1086 13657785480*3049#-1 1309 p94 2002 Cunningham chain (8p+7) 1087 V(6379)/(9823661*187797761*39735824399) 1308 c8 2004 Lucas cofactor 1088 2853609856*3041#+1 1304 p94 2002 Cunningham chain 2nd kind (8p-7) 1089 V(6661)/(20413264084399*254844997471*6472729219639*8036635984600095627\ 961*64250170013936618067104660874142964379889) 1292 c8 2005 Lucas cofactor, ECPP 1090 833000864*3011#+1 1290 p155 2006 Arithmetic progression (7,d=114858412*3011#) 1091 821752479*3011#+1 1290 p155 2006 Arithmetic progression (7,d=114379137*3011#) 1092 797311599*3011#+1 1290 p155 2006 Arithmetic progression (7,d=98881303*3011#) 1093 489855608*3011#+1 1290 p155 2006 Arithmetic progression (7,d=1679489*3011#) 1094 10271674954*2999#+3469 1284 p26 2002 Quadruplet (4), ECPP 1095 10271674954*2999#+3467 1284 p26 2002 Quadruplet (3), ECPP 1096 10271674954*2999#+3463 1284 p26 2002 Quadruplet (2), ECPP 1097 10271674954*2999#+3461 1284 p26 2002 Quadruplet (1), ECPP 1098 4919761805*2999#+6763 1284 c23 2003 Consecutive primes arithmetic progression (4,d=30) 1099 546!-1 1260 D 1992 Factorial 1100 354*Bern(754)/(377*883462452530494157) 1225 c4 2002 Irregular, ECPP 1101 V(5851) 1223 DK 1995 Lucas number 1102 19743490208*2801#-1 1208 p133 2005 Cunningham chain (8p+7) 1103 -690*Bern(748)/(720511*138192830377045750339532383) 1201 c8 2002 Irregular, ECPP 1104 6*Bern(734)/(377231593*75401119*170508089) 1178 c4 2002 Irregular, ECPP 1105 2722420456827*2^3800+7 1157 c44 2007 Quadruplet (4) 1106 2722420456827*2^3800+5 1157 c44 2007 Quadruplet (3) 1107 2722420456827*2^3800+1 1157 L467 2007 Quadruplet (2) 1108 2722420456827*2^3800-1 1157 L467 2007 Quadruplet (1) 1109 477707955423*2^3802+7 1157 c44 2007 Quadruplet (4) 1110 477707955423*2^3802+5 1157 c44 2007 Quadruplet (3) 1111 477707955423*2^3802+1 1157 L467 2007 Quadruplet (2) 1112 477707955423*2^3802-1 1157 L467 2007 Quadruplet (1) 1113 U(5387) 1126 WM 1990 Fibonacci number 1114 2657#+1 1115 BC 1981 Primorial 1115 424232794973*2593#+43789 1107 c18 2009 Quintuplet (5) , ECPP 1116 424232794973*2593#+43787 1107 c18 2009 Quintuplet (4) , ECPP 1117 424232794973*2593#+43783 1107 c18 2009 Quintuplet (3) , ECPP 1118 424232794973*2593#+43781 1107 c18 2009 Quintuplet (2) , ECPP 1119 424232794973*2593#+43777 1107 c18 2009 Quintuplet (1) , ECPP 1120 -88230*Bern(688)/(465776197109*1913589601207) 1088 c4 2002 Irregular, ECPP 1121 6*Bern(674)/337 1077 c4 2002 Irregular, ECPP 1122 283534892623*2477#+1091273 1069 c18 2006 Quintuplet (5), ECPP 1123 283534892623*2477#+1091269 1069 c18 2006 Quintuplet (4), ECPP 1124 283534892623*2477#+1091267 1069 c18 2006 Quintuplet (3), ECPP 1125 283534892623*2477#+1091263 1069 c18 2006 Quintuplet (2), ECPP 1126 283534892623*2477#+1091261 1069 c18 2006 Quintuplet (1), ECPP 1127 (2^3539+1)/3 1065 M 1989 First titanic by ECPP, generalized Lucas number, Wagstaff 1128 -E(510) 1062 c4 2002 Euler irregular, ECPP 1129 -E(526)/(5062100689*71096484738291757946225730043997) 1060 c4 2002 Euler irregular, ECPP 1130 2968802755*2459#+1 1057 p155 2009 Arithmetic progression (8,d=359463429*2459#) 1131 2519951928*2459#+1 1057 p155 2009 Cunningham chain 2nd kind (8p-7) 1132 469!-1 1051 BC 1981 Factorial 1133 11^1008+998672782 1050 c32 2005 Consecutive primes arithmetic progression (4,d=1080) 1134 142661157626*2411#+71427877 1038 c14 2002 Consecutive primes arithmetic progression (5,d=30) 1135 6179783529*2411#+1 1037 p102 2003 Arithmetic progression (8,d=176836494*2411#) 1136 31969211688*2399#+16073 1034 c18 2002 Quintuplet (5), ECPP 1137 31969211688*2399#+16069 1034 c18 2002 Quintuplet (4), ECPP 1138 31969211688*2399#+16067 1034 c18 2002 Quintuplet (3), ECPP 1139 31969211688*2399#+16063 1034 c18 2002 Quintuplet (2), ECPP 1140 31969211688*2399#+16061 1034 c18 2002 Quintuplet (1), ECPP 1141 R(1031) 1031 WD 1985 Repunit 1142 2377#-1 1007 D 1992 Primorial 1143 V(4793) 1002 DK 1995 Lucas number 1144 V(4787) 1001 DK 1995 Lucas number ----- -------------------------------- ------ ---- ---- -------------- KEY TO PROOF-CODES (primality provers): BC Penk, Buhler, Crandall C Caldwell, Cruncher c2 Water, Primo c4 Broadhurst, Primo c8 Water, Broadhurst, Primo c11 Oakes, Primo c13 Steward, OpenPFGW, Primo c14 Fougeron, Primo c18 Luhn, Primo c23 Andersen, Alm, OpenPFGW, Primo c31 Andersen, Alm, Rosenthal, OpenPFGW, Primo c32 DavisK, OpenPFGW, Primo c33 Chaglassian, Primo c36 Andersen, Willegen, Rosenthal, OpenPFGW, Primo c39 Minovic, OpenPFGW, Primo c41 Andersen, Rosenthal, Primo c42 Peets, Primo c44 Barnes, LLR, NewPGen, Primo c45 DavisK, NewPGen, Primo c46 Boncompagni, Primo c47 Chandler, Primo c48 Peets, OpenPFGW, Primo CD Dubner, Caldwell, Cruncher CH1 Soule, Minovic, CHG, Primo, OpenPFGW CH2 Wu_T, CHG, Primo, OpenPFGW CH3 Water, Broadhurst, CHG, Primo, OpenPFGW CH4 Irvine, Water, Broadhurst, CHG, Primo, OpenPFGW CH6 Steward, CHG, Primo, OpenPFGW D Dubner, Cruncher DK Dubner, Keller, Cruncher DM Demichel DS Smith_Darren, Proth.exe EM Morain, Mayer F2 Broadhurst, Primo, OpenPFGW, VFYPR F3 Water, Broadhurst, VFYPR f7 Heuer, ForEis, PhiSieve, OpenPFGW, PIES f14 Hillegas, ForEis, PhiSieve, PIES FE1 Morain, FastECPP FE2 Wirth, Kleinjung, Franke, FastECPP FE3 Wirth, Kleinjung, Franke, Morain, FastECPP FE4 Morain, Broadhurst, FastECPP, OpenPFGW FE5 Luhn, Morain, FastECPP FE6 Jordan, Morain, FastECPP, LLR FE7 Deng, Morain, FastECPP FE8 Oakes, Morain, Water, Broadhurst, FastECPP FE9 Morain, Water, Broadhurst, FastECPP g0 Gallot, Proth.exe g1 Caldwell, Proth.exe G1 Armengaud, GIMPS, Prime95 G2 Spence, GIMPS, Prime95 G3 Clarkson, Kurowski, GIMPS, Prime95 G4 Hajratwala, Kurowski, GIMPS, Prime95 G5 Cameron, Kurowski, GIMPS, Prime95 G6 Shafer, GIMPS, Prime95 G7 Findley_J, GIMPS, Prime95 G8 Nowak, GIMPS, Prime95 G9 Boone, Cooper, GIMPS, Prime95 G10 Smith_E, GIMPS, Prime95 G11 Elvenich, GIMPS, Prime95 G12 Strindmo, GIMPS, Prime95 g23 Ballinger, Proth.exe g25 OHare, Proth.exe g55 Toplic, Proth.exe g59 Linton, Proth.exe g77 Lau, Proth.exe g106 Kuechler, Proth.exe g122 Nohara, Proth.exe g132 Cosgrave, Proth.exe g141 Scott, Proth.exe g142 HermleGC, Proth.exe g148 Samidoost, Proth.exe g157 Loeh, Proth.exe g181 Bodenstein, Proth.exe g182 McElhatton, Proth.exe g196 Odermatt, Proth.exe g197 Muischnek, Proth.exe g208 Tawaris, Proth.exe g216 Underbakke, Carmody, PRP, NewPGen, Proth.exe g233 Overmann, Proth.exe g236 Heuer, GFNSearch, GFN17Sieve, Proth.exe g243 Sorensen, Proth.exe g245 Cosgrave, PRP, NewPGen, Proth.exe g250 Angel, Jobling, Augustin, NewPGen, Proth.exe g258 Neves, PRP, NewPGen, Proth.exe g259 Papp, Proth.exe g260 AYENI, Proth.exe g262 Kapek, Proth.exe g265 Wolter, MultiSieve, GenWoodall, Proth.exe g266 Hagel, Proth.exe g267 Grobstich, PRP, NewPGen, Proth.exe g277 Eaton, PRP, NewPGen, Proth.exe g279 Cooper, PRP, NewPGen, Proth.exe g281 Berndt, Proth.exe g290 Sun, PRP, NewPGen, Proth.exe g294 Underbakke, TwinGen, PRP, Proth.exe g295 Underbakke, AthGFNSieve, Proth.exe g299 Dowd, Scott, Proth.exe g300 Zilmer, Proth.exe g305 Berg2, Proth.exe g308 Angel, GFNSearch, GFN17Sieve, Proth.exe g336 Tornberg, PRP, NewPGen, Proth.exe g346 Dausch, ProthSieve, PRP, PrimeSierpinski, Proth.exe g372 Adney, PRP, NewPGen, Proth.exe g380 Tajima, PRP, NewPGen, Proth.exe g387 Muzik, Proth.exe g392 HermleGC, MultiSieve, OpenPFGW, Proth.exe g396 Boncompagni, PRP, NewPGen, Proth.exe g403 Yoshimura, ProthSieve, LLR, PrimeSierpinski, Proth.exe g404 Taniguchi, Proth.exe g407 HermleGC, MultiSieve, PRP, Proth.exe g409 Melo, PRP, NewPGen, Proth.exe g410 Anonymous, AthGFNSieve, GFNSearch, GFN16Sieve, Proth.exe g411 Brittenham, PRP, NewPGen, Proth.exe g413 Scott, AthGFNSieve, Proth.exe g414 Gilvey, Srsieve, LLR, PrimeGrid, PrimeSierpinski, Proth.exe g418 Taura, PRP, NewPGen, Proth.exe g422 Saridis, NewPGen, Proth.exe g423 Ballinger, PRP, NewPGen, Proth.exe gb1 Buechel, Keller, PRP, Proth.exe gb2 Buechel, Keller, PRP, NewPGen, Proth.exe GC1 Angel, GFNSearch, GFN16Sieve, Proth.exe GC2 Hluchan, GFNSearch, GFN16Sieve, Proth.exe GF0 Gallot, Proth.exe, GFNSieve, GFNSearch GF2 Heuer, Proth.exe, GFNSieve, GFNSearch GF3 Penrose, Proth.exe, GFNSieve, GFNSearch gm Morii, Proth.exe gt Taura, Proth.exe K Keller L2 Penne, NewPGen, LLR L4 Sun, NewPGen, LLR L6 Xiao, LLR L10 Ritschel, NewPGen, LLR L30 Ritschel, NewPGen, 321search, LLR L35 Faith, RieselSieve, LLR L40 AndersonM, Ksieve, 15k, LLR L47 Bishop_D, ProthSieve, RieselSieve, LLR L49 Stolz, ProthSieve, RieselSieve, LLR L51 Hedges, PRP, NewPGen, LLR L53 Zaveri, ProthSieve, PRP, RieselSieve, LLR L56 Minovic, Ksieve, NewPGen, LLR L62 Ewing, NewPGen, 12121search, LLR L65 Clowes, NewPGen, 12121search, LLR L73 Wallace, ProthSieve, NewPGen, RieselSieve, LLR L76 Meissner, ProthSieve, RieselSieve, LLR L77 Depereyra, 321search, LLR L80 Benson, NewPGen, LLR L81 Heuer, NewPGen, LLR L84 Mischel, RieselSieve, LLR L93 Sefko, ProthSieve, RieselSieve, LLR L95 Urushi, LLR L99 Underbakke, TwinGen, LLR L100 Minovic, TwinGen, LLR L101 Aggarwal, ProthSieve, PrimeSierpinski, LLR L105 Hoof, ProthSieve, RieselSieve, LLR L109 Nair, NewPGen, LLR L111 Fisher, ProthSieve, RieselSieve, LLR L113 Chatfield, NewPGen, LLR L121 Benson, Srsieve, Rieselprime, LLR L123 Gillion, NewPGen, LLR L124 Rodenkirch, MultiSieve, LLR L126 Keiser, NewPGen, LLR L129 Snyder, LLR L134 Childers, ProthSieve, RieselSieve, LLR L139 Metcalfe, NewPGen, Rieselprime, LLR L145 Minovic, Ksieve, NewPGen, Rieselprime, LLR L153 Eckhard, LLR L158 Underwood, NewPGen, 321search, LLR L160 Wong, ProthSieve, RieselSieve, LLR L162 Banka, NewPGen, 12121search, LLR L163 Ritschel, NewPGen, Rieselprime, LLR L165 Keiser, OpenPFGW, NewPGen, LLR L170 Crosa, LLR L172 Smith, ProthSieve, RieselSieve, LLR L175 Duggan, ProthSieve, RieselSieve, LLR L179 White, ProthSieve, RieselSieve, LLR L185 Hassler, NewPGen, LLR L191 Banka, NewPGen, LLR L192 Jaworski, LLR L193 Rosink, ProthSieve, RieselSieve, LLR L197 DaltonJ, ProthSieve, RieselSieve, LLR L200 Jaworski, Ksieve, NewPGen, Rieselprime, LLR L201 Siemelink, LLR L202 Vautier, McKibbon, Gribenko, NewPGen, PrimeGrid, TPS, LLR L203 Murata, LLR L212 Apps, NewPGen, PrimeGrid, TPS, LLR L217 Lehmann, Rieselprime, LLR L251 Burt, NewPGen, Rieselprime, LLR L255 Kramer, NewPGen, PrimeGrid, TPS, LLR L256 Underwood, Srsieve, NewPGen, 321search, LLR L257 Ritschel, Srsieve, Rieselprime, LLR L268 Metcalfe, Srsieve, Rieselprime, LLR L282 Curtis, Srsieve, Rieselprime, LLR L315 Rhodes, NewPGen, PrimeGrid, TPS, LLR L321 Broadhurst, OpenPFGW, NewPGen, LLR L323 Minovic, Srsieve, NewPGen, Rieselprime, LLR L381 Mate, Siemelink, Rodenkirch, MultiSieve, LLR L384 Pinho, Srsieve, Rieselprime, LLR L391 Rodenkirch, Srsieve, LLR L392 Rodenkirk, NewPGen, PrimeGrid, TPS, LLR L421 Bonath, Srsieve, Rieselprime, LLR L426 Jaworski, Srsieve, Rieselprime, LLR L436 Andersen2, Gcwsieve, MultiSieve, PrimeGrid, LLR L446 Saridis, NewPGen, Proth.exe, LLR L447 Kohlman, Gcwsieve, MultiSieve, PrimeGrid, LLR L466 Zhou, NewPGen, LLR L467 Barnes, NewPGen, LLR L478 Sutton1, Goforth, Srsieve, Rieselprime, LLR L486 Goforth, Curtis, Srsieve, Rieselprime, LLR L488 Sutton1, Srsieve, NewPGen, Rieselprime, LLR L503 Benson, Srsieve, LLR L521 Thompson1, Gcwsieve, MultiSieve, PrimeGrid, LLR L527 Tornberg, TwinGen, LLR L545 AndersonM, NewPGen, Rieselprime, LLR L590 Padro, NewPGen, 12121search, LLR L606 Bennett, Srsieve, NewPGen, PrimeGrid, 321search, LLR L613 Keogh, Srsieve, ProthSieve, RieselSieve, LLR L621 Sutton1, Srsieve, Rieselprime, LLR L622 Cardall, Srsieve, ProthSieve, RieselSieve, LLR L623 Jaworski, Srsieve, NPLB, LLR L632 Stokkedalen, Rieselprime, LLR L635 Vogel, Srsieve, PrimeGrid, LLR L639 Depereyra, Srsieve, Rieselprime, LLR L645 Luhn, LLR L651 Courty, Srsieve, PrimeGrid, LLR L652 Wu_T, NewPGen, LLR L656 Yama, Srsieve, PrimeGrid, LLR L667 Riesen, NewPGen, LLR L668 Ueda, Srsieve, PrimeGrid, LLR L669 Harvey, Srsieve, PrimeGrid, LLR L679 Foody, Srsieve, PrimeGrid, LLR L687 Slomma, Srsieve, PrimeGrid, LLR L690 Cholt, Srsieve, PrimeGrid, LLR L717 Laluk, Srsieve, PrimeGrid, LLR L732 Embling, Srsieve, PrimeGrid, LLR L753 Wolfram, Srsieve, PrimeGrid, LLR L769 Chu, Srsieve, NPLB, LLR L780 Brady, Srsieve, PrimeGrid, LLR L801 Gesker, Gcwsieve, MultiSieve, PrimeGrid, LLR L872 Gronow, Srsieve, PrimeGrid, LLR L917 Bergman1, Gcwsieve, MultiSieve, PrimeGrid, LLR L922 Vogel, NewPGen, PrimeGrid, LLR L923 Kaiser1, Klahn, NewPGen, PrimeGrid, TPS, SunGard, LLR L983 Wu_T, LLR L1065 Gockel, Srsieve, PrimeGrid, LLR L1153 Kaiser1, Srsieve, NewPGen, PrimeGrid, 12121search, LLR L1213 Wolter, NewPGen, PrimeGrid, TPS, LLR M Morain M1 Mayer, Mihailescu MM Morii O Oakes p5 Jobling, OpenPFGW p8 Caldwell, OpenPFGW p12 Water, OpenPFGW p16 Heuer, OpenPFGW p21 Anderson, Robinson, OpenPFGW p26 Bell, OpenPFGW p35 Augustin, NewPGen, OpenPFGW p41 Luhn, OpenPFGW p42 Oakes, OpenPFGW p43 Fougeron, OpenPFGW p44 Broadhurst, OpenPFGW p48 Binnekamp, OpenPFGW p49 Berg, OpenPFGW p54 Water, Broadhurst, OpenPFGW p58 Glover, Oakes, OpenPFGW p62 Underwood, PrimeForm_egroup, OpenPFGW p65 DavisK, Kuosa, OpenPFGW p72 Caldwell, ForEis, PhiSieve, PIES, OpenPFGW p77 Harvey, MultiSieve, GenWoodall, OpenPFGW p85 Marchal, Carmody, Kuosa, OpenPFGW p86 Cousins, TwinGen, PRP, PSearch, OpenPFGW p94 Angel, Jobling, Augustin, NewPGen, OpenPFGW p97 Andersen, OpenPFGW p100 Underbakke, Carmody, PRP, NewPGen, OpenPFGW p102 Underwood, Frind, OpenPFGW p103 Harvey, MultiSieve, OpenPFGW p108 Sun, OpenPFGW p114 Samidoost, FermFact, PRP, OpenPFGW p116 Eaton, NewPGen, OpenPFGW p117 Rodenkirch, MultiSieve, GenWoodall, OpenPFGW p120 Minovic, MultiSieve, GenWoodall, OpenPFGW p122 Sun, PRP, NewPGen, OpenPFGW p126 Minovic, MultiSieve, OpenPFGW p133 Sun, NewPGen, OpenPFGW p135 Heuer, PRP, NewPGen, OpenPFGW p148 Yama, Noda, Nohara, PRP, NewPGen, MatGFN, OpenPFGW p155 DavisK, NewPGen, OpenPFGW p156 Murata, Noda, Nohara, PRP, NewPGen, MatGFN, OpenPFGW p158 Paridon, NewPGen, OpenPFGW p160 Ayuchan, AthGFNSieve, OpenPFGW p162 AndersonM, Grobstich, Broadhurst, OpenPFGW p164 Morain, Broadhurst, OpenPFGW p166 Yamada, Noda, Nohara, PRP, NewPGen, MatGFN, OpenPFGW p169 Eaton, PRP, NewPGen, OpenPFGW p179 DavisK, APTreeSieve, OpenPFGW p185 Carmody, Ksieve, Tetradic, OpenPFGW p189 Bohanon, LLR, OpenPFGW p190 DiMaria, NewPGen, OpenPFGW p193 Irvine, Broadhurst, Primo, OpenPFGW p194 Soule, NewPGen, OpenPFGW p196 Masser, Srsieve, PRP, Riesel5, OpenPFGW p197 Sakai, PRP, NewPGen, OpenPFGW p199 Broadhurst, NewPGen, OpenPFGW p200 Soule, LLR, NewPGen, OpenPFGW p217 Rodenkirch, 3Ps, Srsieve, CRUS, OpenPFGW p218 Minovic, NewPGen, OpenPFGW p219 Samidoost, FermFact, LLR, OpenPFGW p221 AndersonLee, NewPGen, OpenPFGW p227 Harvey, Srsieve, PRP, OpenPFGW p231 Petat, Srsieve, PRP, CRUS, OpenPFGW p234 Reynolds, Gcwsieve, PRP, GenWoodall, OpenPFGW p235 Bedwell, OpenPFGW p236 Cooper, PRP, NewPGen, OpenPFGW p237 Platzer1, Gcwsieve, 3Ps, GenWoodall, OpenPFGW p240 Harvey, FermFact, LLR, OpenPFGW p242 Rodenkirch, Gcwsieve, 3Ps, MultiSieve, GenWoodall, OpenPFGW p243 Harvey, Gcwsieve, MultiSieve, LLR, OpenPFGW p252 Oakes, NewPGen, OpenPFGW p256 Chatfield, Srsieve, CRUS, OpenPFGW p258 Batalov, Srsieve, CRUS, OpenPFGW p259 Underbakke, GenefX64, AthGFNSieve, OpenPFGW p260 Harvey, Gcwsieve, MultiSieve, GenWoodall, OpenPFGW p261 Gunn, Srsieve, CRUS, OpenPFGW p262 Vogel, Gcwsieve, MultiSieve, PrimeGrid, OpenPFGW p263 Chatfield, NewPGen, OpenPFGW p265 Jaworski, Srsieve, Prime95, CRUS, OpenPFGW PM Mihailescu S Slowinski SB10 Agafonov, SoBSieve, ProthSieve, Ksieve, Proth.exe, SB, PRP SB11 Sunde, SoBSieve, ProthSieve, Ksieve, Proth.exe, SB, PRP SB2 Burt, Proth.exe, SB, PRP SB4 DiMichele, Proth.exe, SB, PRP SB5 Coels, Proth.exe, SB, PRP SB6 Sundquist, SoBSieve, ProthSieve, Ksieve, Proth.exe, SB, PRP SB7 Team_Prime_Rib, SoBSieve, ProthSieve, Ksieve, SB, PRP SB8 Gordon, SoBSieve, ProthSieve, Ksieve, Proth.exe, SB, PRP SB9 Hassler, SoBSieve, ProthSieve, Ksieve, Proth.exe, SB, PRP SG Slowinski, Gage WC Colquitt, Welsh WD Dubner, Williams, Cruncher WM Morain, Williams x13 Renze x16 Doumen, Beelen x23 Water, Renze, Broadhurst, Primo, OpenPFGW x24 Jarai_Z, Farkas, Csajbok, Kasza, Jarai x25 Water, Broadhurst, Primo, OpenPFGW x28 Iskra x33 Carmody, Water, Renze, Broadhurst, Primo, OpenPFGW x34 Caldwell, Broadhurst, OpenPFGW x36 Irvine, Carmody, Water, Renze, Broadhurst, Primo, OpenPFGW x37 Zhou, LLR x38 Broadhurst, Primo, OpenPFGW x39 Dubner, Keller, Broadhurst, Primo, OpenPFGW x40 Bedwell, Broadhurst, OpenPFGW Y Young