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 (Sun Nov 8 14:20:55 CST 2009) 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?? 2f 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 15d 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) 44c 81*2^2468789+1 743182 g418 2009 45 26773*2^2465343-1 742147 L197 2006 46 5*2^2460482-1 740680 L503 2008 47b 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 50e 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 56 19*2^2206266+1 664154 p189 2006 57 5077*2^2198565-1 661838 L251 2008 58 114487*2^2198389-1 661787 L179 2006 59 196597*2^2178109-1 655682 L175 2006 60 7*2^2167800+1 652574 g279 2007 Divides Fermat F(2167797), GF(2167799,5), GF(2167799,10) 61 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) 62 23*2^2141626-1 644696 L545 2008 63 7*2^2139912+1 644179 g279 2007 Divides GF(2139911,12) 64 62722^131072+1 628808 g308 2003 Generalized Fermat 65 1003*2^2076535-1 625103 L51 2008 66 9*2^2060941-1 620407 L503 2008 67 121*2^2033941-1 612280 L162 2006 68 251749*2^2013995-1 606279 L436 2007 Woodall 69 467917*2^1993429-1 600088 L160 2005 70 137137*2^1993201-1 600019 L321 2007 71 17*2^1990299+1 599141 g267 2006 Divides GF(1990298,3) 72 25*2^1977369-1 595249 L426 2008 73 121*2^1954243-1 588288 L162 2006 74 214519*2^1929114+1 580727 g346 2006 75 345067*2^1876573-1 564911 g59 2005 76 13*2^1861732+1 560439 g267 2005 Divides GF(1861731,6) 77 137*2^1849238-1 556679 L321 2007 78 15*2^1837873-1 553257 L632 2008 79 3*2^1832496+1 551637 p189 2007 Divides GF(1832490,3), GF(1832494,5) 80 21*2^1830919+1 551163 g279 2004 81 33*2^1813526-1 545928 L621 2008 82 417643*2^1800787-1 542097 L134 2005 83 357659*2^1779748-1 535764 L47 2005 84 5*2^1777515+1 535087 p148 2005 Divides GF(1777511,5), GF(1777514,6) 85 5077*2^1753317-1 527805 L251 2008 86 1179*2^1750847+1 527061 g387 2009 87 253*2^1722623-1 518564 L145 2007 88 121*2^1695499-1 510399 L62 2005 89 19*2^1684813-1 507181 L503 2008 90 15*2^1667744+1 502043 g279 2007 91 149183*2^1666957+1 501810 g346 2005 92 63*2^1659338-1 499513 L503 2008 93 61*2^1654383-1 498021 L503 2008 94b 68*23^365239+1 497358 p261 2009 95 69*2^1649423-1 496528 L621 2008 96 469949*2^1649228-1 496473 L160 2007 97 81*2^1643428+1 494724 g418 2009 Generalized Fermat 98 81*2^1606848+1 483712 gt 2007 Generalized Fermat 99 15*2^1597510+1 480900 g279 2006 100 58753*2^1594323-1 479944 p190 2006 101 737*2^1592724-1 479461 L191 2006 102 110413*2^1591999-1 479245 L111 2005 103 99*2^1591984-1 479237 L282 2009 104 1179*2^1591362+1 479051 g387 2006 105 121*2^1589157-1 478387 L65 2005 106 19502212^65536+1 477763 p160 2005 Generalized Fermat 107f 311*2^1581686-1 476138 L623 2009 108 17684828^65536+1 474979 g410 2007 Generalized Fermat 109 17655444^65536+1 474932 g410 2007 Generalized Fermat 110 17629398^65536+1 474890 g410 2007 Generalized Fermat 111 29*2^1574753+1 474050 L391 2008 112 139*2^1567874+1 471980 p189 2006 113 81*2^1544545+1 464957 gt 2007 114 234847*2^1535589-1 462264 L73 2005 115 121*2^1526097-1 459404 L65 2005 116 19709699*2^1521540-1 458037 L421 2008 117 13*2^1499876+1 451509 g267 2004 Divides GF(1499875,3) 118 7*2^1491852+1 449094 p166 2005 Divides GF(1491851,6) 119 2232007*2^1490605-1 448724 L4 2003 120 9*2^1481821-1 446074 L503 2008 121 29*2^1478344-1 445028 L10 2005 122 27*2^1476347+1 444427 g279 2005 123 325627*2^1472117-1 443157 L111 2005 124 1467763*2^1467763-1 441847 L381 2007 Woodall 125 77*2^1467554-1 441780 L145 2006 126 99*2^1461496-1 439957 L282 2009 127 21*2^1452771-1 437329 L503 2008 128 23*2^1448461+1 436032 L170 2008 129 19*2^1434165-1 431728 L503 2008 130 113*2^1425998-1 429271 L257 2008 131 21*2^1421741+1 427989 g279 2005 132 15*2^1418605+1 427044 g279 2006 Divides GF(1418600,5), GF(1418601,6) 133 29*2^1416873+1 426523 g305 2007 134 149797*2^1414137-1 425703 L105 2005 135 127*2^1398889-1 421110 L486 2008 136 1564347*2^1398269-1 420928 L466 2008 137 2^1398269-1 420921 G1 1996 Mersenne 35 138 192089*2^1395688-1 420150 L49 2004 139 113*2^1389674-1 418336 L257 2008 140 17*2^1388355+1 417938 g267 2005 Divides GF(1388354,10) 141 2187182^65536+1 415491 g260 2009 Generalized Fermat 142 2177038^65536+1 415359 g260 2008 Generalized Fermat 143 2162068^65536+1 415162 g260 2008 Generalized Fermat 144 15*2^1368428+1 411940 g279 2006 145 1874512^65536+1 411101 g413 2008 Generalized Fermat 146 241489*2^1365062+1 410930 L101 2005 147 1828502^65536+1 410393 GF2 2005 Generalized Fermat 148e 107*2^1362654-1 410202 L621 2009 149 35*2^1357881+1 408765 g279 2006 150b 299*2^1355004-1 407900 L426 2009 151 338707*2^1354830+1 407850 L124 2005 Cullen 152 1540550^65536+1 405516 GF2 2003 Generalized Fermat 153 15*2^1344313-1 404680 L139 2007 154 1483076^65536+1 404434 GF2 2003 Generalized Fermat 155 11*2^1343347+1 404389 p169 2005 Divides GF(1343346,6) 156 1478036^65536+1 404337 GF2 2002 Generalized Fermat 157 54767*2^1337287+1 402569 SB5 2002 158 1374038^65536+1 402260 GF3 2003 Generalized Fermat 159 81*2^1335675-1 402081 L268 2008 160 1361846^65536+1 402007 GF3 2002 Generalized Fermat 161 1266062^65536+1 399931 g295 2002 Generalized Fermat 162 5*2^1320487+1 397507 g55 2002 Divides GF(1320486,12) 163 1057476^65536+1 394807 g197 2002 Generalized Fermat 164b 1001184681*2^1310640+1 394551 p221 2009 165b 250107985*2^1310642+1 394551 p221 2009 166 1024390^65536+1 393902 g299 2003 Generalized Fermat 167e 19581121*2^1303821-1 392497 p49 2009 168 25*2^1298186+1 390795 g279 2005 Generalized Fermat 169 99*2^1292395-1 389052 L282 2008 170 857678^65536+1 388847 GF0 2002 Generalized Fermat 171 843832^65536+1 388384 GF0 2001 Generalized Fermat 172 138847*2^1283793-1 386466 L2 2003 173 5*2^1282755+1 386149 g55 2002 Divides GF(1282754,3), GF(1282748,5) 174 15*2^1276177+1 384169 g279 2006 Divides GF(1276174,3), GF(1276174,10) 175 1268979*2^1268979-1 382007 L201 2007 Woodall 176 671600^65536+1 381886 g55 2002 Generalized Fermat 177 11*2^1261478-1 379744 L163 2006 178 25*2^1258562+1 378867 g279 2004 Generalized Fermat 179 2084259*2^1257787-1 378638 L466 2008 180 26869*2^1257787-1 378637 L466 2007 181 2^1257787-1 378632 SG 1996 Mersenne 34 182 49*2^1257295-1 378486 L217 2008 183 6201*2^1257068+1 378419 L667 2008 184 81*2^1254155+1 377541 gt 2007 185 27*2^1253870-1 377454 L65 2008 186 80857169*2^1251076-1 376620 L10 2004 187b 57023*6^483561-1 376289 p258 2009 188 549868^65536+1 376194 g295 2003 Generalized Fermat 189 544118^65536+1 375895 g295 2002 Generalized Fermat 190 15*2^1244377+1 374596 g279 2006 191 257708*5^535176-1 374078 p196 2007 192 21*2^1240067+1 373299 g279 2004 193 43*2^1235298+1 371864 g279 2006 194 3*2^1232255-1 370947 L30 2004 195 15*2^1229600+1 370148 g279 2006 196 19581121*2^1229561-1 370143 p49 2008 197 440846^65536+1 369904 GC1 2002 Generalized Fermat 198 177482*117^177482+1 367072 g407 2008 Generalized Cullen 199b 122*18^292318+1 366941 p231 2009 200 25*2^1211488+1 364696 g279 2005 Generalized Fermat, divides GF(1211487,12) 201 357868^65536+1 363969 g266 2003 Generalized Fermat 202 2^1203793-2^601897+1 362378 L192 2006 Gaussian Mersenne norm 37? 203 3*2^1201046-1 361552 L77 2004 204 502541*2^1199930-1 361221 L93 2004 205 1195203*2^1195203-1 359799 L124 2005 Woodall 206 5*2^1194164-1 359480 L478 2008 207 292550^65536+1 358233 GC2 2002 Generalized Fermat 208 291726^65536+1 358153 GC2 2002 Generalized Fermat 209 71009*2^1185112-1 356760 L47 2004 210b 78959*6^458114-1 356487 p256 2009 211d 21*2^1182083-1 355844 L323 2009 212e 55*2^1177924+1 354593 L669 2009 213 255694^65536+1 354401 g266 2002 Generalized Fermat 214 617*2^1175468-1 353854 L426 2007 215b 59*2^1170231+1 352277 L669 2009 216 21*2^1170083-1 352232 L503 2008 217 27*2^1164664+1 350601 g279 2005 218 27*2^1163629-1 350289 L503 2008 219 55*2^1162155-1 349846 L545 2008 220 69109*2^1157446+1 348431 SB4 2002 221 152713*2^1154707-1 347607 g23 2004 222 29*2^1152765+1 347019 g300 2005 Divides GF(1152760,10) 223 189590^65536+1 345887 g262 2002 Generalized Fermat 224b 1001155863*2^1146800+1 345231 p221 2009 225 350107*2^1144101-1 344415 L35 2004 226 31*2^1142093-1 343806 L503 2008 227 209826493*2^1140855-1 343440 L10 2004 228 500621*2^1138518-1 342734 L73 2004 229 504613*2^1136459-1 342114 L84 2004 230 33*2^1130884+1 340432 L165 2006 Divides GF(1130881,12) 231 64*3^712171+1 339794 x28 2006 232 63*2^1126551-1 339128 L323 2008 233 842711*2^1126138-1 339008 L251 2009 234 177*2^1121720+1 337674 L129 2006 235 141146^65536+1 337489 g281 2002 Generalized Fermat 236 165*2^1117217+1 336319 g196 2007 237 33*2^1115902-1 335922 L488 2008 238a 45*2^1111703+1 334658 L669 2009 239 27*2^1108214-1 333608 L590 2008 240 99*2^1106989-1 333239 L486 2007 241 11*2^1104606-1 332521 L10 2005 242 49*2^1103430+1 332168 L669 2009 Generalized Fermat 243 165*2^1100755+1 331363 g196 2007 244 289*2^1098117-1 330569 L6 2006 245 19433*2^1096861+1 330193 g411 2008 246 108368^65536+1 329968 g181 2001 Generalized Fermat 247 43*2^1087992+1 327520 g279 2006 248 45*2^1086062+1 326939 L669 2009 249 412717*2^1084409-1 326446 L76 2004 250 15*2^1084010-1 326321 L139 2006 251f 103*2^1077739-1 324434 L621 2009 252 150847*2^1076441-1 324047 L73 2004 253 55*2^1075711-1 323824 L545 2008 254 85*2^1072368+1 322817 g267 2006 255 209826493*2^1071303-1 322503 L10 2004 256f 63*2^1070449+1 322240 L669 2009 257 107*2^1070256-1 322182 L621 2008 258 2203*2^1069647-1 322000 L123 2006 259 53*2^1066381+1 321015 L669 2009 260 133*2^1065655-1 320797 L632 2008 261 257*2^1064062-1 320317 L632 2008 262 217*2^1059961-1 319083 L639 2008 263 41*2^1059562-1 318962 L282 2009 264 864316301*2^1055106-1 317628 L426 2007 265 9*2^1051026+1 316392 p156 2004 Generalized Fermat 266 12345*2^1047788-1 315420 L426 2009 267 11*2^1044086-1 314303 L10 2005 268f 105*2^1043063-1 313996 L384 2009 269 151515*2^1043018-1 313985 L426 2007 270 35*2^1040005+1 313075 g279 2006 271 121*2^1039965-1 313063 L65 2004 272 958*11^300544+1 312988 p217 2008 273 13*2^1038896+1 312740 g267 2004 274 85*2^1034069-1 311288 L323 2007 275 217*2^1026869-1 309121 L632 2008 276 91*2^1026521-1 309016 L323 2008 277 31838235*2^1025596+1 308743 p190 2006 278 21*2^1022168+1 307705 g279 2004 279 48594^65536+1 307140 g141 2000 Generalized Fermat 280 205*2^1019679-1 306957 L632 2008 281c 41*2^1018778-1 306685 L282 2009 282 65567*2^1013803+1 305190 SB2 2002 283 6119*2^1011416-1 304471 L251 2007 284a 109*2^1011102+1 304375 g423 2009 285 9*2^1010277-1 304125 L80 2007 286 165*2^1010133+1 304083 g196 2007 287 729*2^1003373-1 302049 L466 2008 288 603*2^1002662+1 301835 p219 2007 289 945*2^1001719+1 301551 p219 2007 290 103*2^1001214+1 301398 p219 2007 291 869*2^1000725+1 301252 p114 2005 292 8009271*2^1000005-1 301039 g396 2009 293 1611111*2^1000000+1 301037 p197 2007 294 1089927*2^1000000+1 301037 p197 2006 295 32883*2^1000004+1 301036 p86 2002 296 21*2^999599-1 300911 L56 2005 297 215*2^999170-1 300783 L323 2008 298 81*2^998065+1 300450 gt 2007 299b 335*2^997912-1 300404 L769 2009 300 243*2^997537+1 300291 L165 2008 301 1515*2^996848-1 300085 L200 2007 302 351351*2^996709-1 300045 L80 2006 303 2^991961-2^495981+1 298611 x28 2005 Gaussian Mersenne norm 36 304 11*2^960901+1 289262 g277 2005 Divides Fermat F(960897) 305 2*827^98511+1 287407 g404 2009 Divides Phi(827^98511,2) 306 143717*96^143717+1 284892 g157 2009 Generalized Cullen 307 113*2^916801+1 275987 L153 2009 Divides GF(916800,5), GF(916800,12) 308 3*2^916773+1 275977 g245 2001 Divides GF(916771,3), GF(916772,10) 309 43*2^894766+1 269354 g279 2006 Divides GF(894765,5) 310 11*2^886071+1 266735 g277 2005 Divides GF(886070,12) 311 2^859433-1 258716 SG 1994 Mersenne 33 312 Phi(3,1-3^267414)/3 255178 x28 2005 Generalized unique 313 35*2^831411+1 250282 g279 2006 Divides GF(831410,3) 314 229918*12^229918-1 248129 x37 2008 Generalized Woodall 315 5*2^819739+1 246767 g55 2001 Divides GF(819738,3) 316 7*2^811230+1 244206 g148 2002 Divides GF(811228,5) 317 9980*19^189621-1 242483 p237 2008 Generalized Woodall 318 7*2^804534+1 242190 g196 2003 Divides GF(804533,12) 319 3*2^801978+1 241420 g372 2005 Divides GF(801973,3), GF(801977,5) 320 60205*2^782665-1 235611 p243 2009 Generalized Woodall 321 67*2^773566+1 232869 p227 2008 Divides GF(773564,5) 322 35*2^768063+1 231212 L126 2005 Divides GF(768062,3) 323 2^756839-1 227832 SG 1992 Mersenne 32 324 Phi(5,(3668*16001#-1)*(378266*16001#/5+1)^7) 221071 x34 2008 Generalized unique 325 59*2^727815+1 219096 p227 2008 Divides GF(727814,12) 326 3*2^709968+1 213723 g372 2005 Divides GF(709962,3), GF(709963,5) 327 75*2^705688+1 212436 p227 2008 Divides GF(705684,12) 328 Phi(3,-2322573^16384) 208601 p72 2008 Generalized unique 329 Phi(3,-2313516^16384) 208545 p72 2008 Generalized unique 330 Phi(3,-2182528^16384) 207716 f7 2007 Generalized unique 331 Phi(3,-2178996^16384) 207692 f7 2007 Generalized unique 332 2*683^73237+1 207585 g404 2008 Divides Phi(683^73237,2) 333 Phi(3,-2115084^16384) 207269 f7 2007 Generalized unique 334 Phi(3,-2110199^16384) 207236 f7 2007 Generalized unique 335 Phi(3,-2074507^16384) 206993 f7 2007 Generalized unique 336 Phi(3,-2029827^16384) 206683 f7 2006 Generalized unique 337 Phi(3,-1989801^16384) 206400 f7 2006 Generalized unique 338 Phi(3,-3898771219232^8192) 206290 f14 2007 Generalized unique 339 Phi(3,-3824990769800^8192) 206154 f14 2007 Generalized unique 340 Phi(3,-3804263911368^8192) 206116 f14 2007 Generalized unique 341 Phi(3,-1949616^16384) 206110 f7 2006 Generalized unique 342 13*2^684560+1 206075 g267 2003 Divides GF(684557,10), GF(684559,6) 343 Phi(3,-3775889401250^8192) 206062 f14 2007 Generalized unique 344 Phi(3,-3757143544200^8192) 206027 f14 2007 Generalized unique 345 Phi(3,-1932045^16384) 205981 f7 2006 Generalized unique 346 Phi(3,-1925507^16384) 205932 f7 2006 Generalized unique 347 Phi(3,-1910944^16384) 205824 f7 2006 Generalized unique 348 27*2^672007+1 202296 g279 2005 Divides Fermat F(672005) 349 667071*2^667071-1 200815 g55 2000 Woodall 350 2*419^76419+1 200388 g404 2007 Divides Phi(419^76419,2) 351 101670*91^101670+1 199181 g157 2005 Generalized Cullen 352 87258*182^87258+1 197215 g392 2006 Generalized Cullen 353 98035*10^196070+1 196075 g157 2007 Generalized Cullen 354 133736*3^401209-1 191431 p120 2004 Generalized Woodall 355 162454*15^162454-1 191066 p242 2009 Generalized Woodall 356 2*191^83009+1 189347 g404 2006 Divides Phi(191^83009,2) 357 146478*19^146478-1 187315 p237 2008 Generalized Woodall 358 659*2^617815+1 185984 L732 2009 Divides Fermat F(617813) 359 2*131^86365+1 182859 g404 2007 Divides Phi(131^86365,2) 360 225*2^605172+1 182178 p43 2005 Generalized Fermat, divides GF(605169,3) 361 33*2^600270+1 180701 L126 2005 Divides GF(600269,5) 362 999999999*10^180230-1 180239 g208 2008 Near-repdigit 363c 10^180054+8*R(58567)*10^60744+1 180055 p235 2009 Tetradic palindrome 364 10^180004+248797842*10^89998+1 180005 D 2007 Palindrome 365 163*2^597474+1 179860 p43 2005 Divides GF(597473,3) 366 351*2^588325+1 177107 L651 2009 Divides GF(588323,6) 367c 36739*2^587827-1 176959 p77 2009 Generalized Woodall 368 195*2^585988+1 176403 p189 2007 Divides GF(585985,12) [K] 369 151*2^585044+1 176118 L446 2007 Divides Fermat F(585042) 370 10^175108+230767032*10^87550+1 175109 D 2007 Palindrome 371 45*2^574506+1 172946 g409 2007 Divides GF(574504,3) 372 1143*2^573894+1 172763 L717 2009 Divides GF(573892,3) 373 519*2^567235+1 170758 L656 2009 Divides Fermat F(567233) 374 10^170006+3880883*10^85000+1 170007 D 2006 Palindrome 375 392113#+1 169966 p16 2001 Primorial 376 13*2^562456+1 169318 g267 2003 Divides GF(562454,5) 377 7*2^561816+1 169125 g148 2003 Divides GF(561815,5); GF(561815,6) [p149] 378 243*2^555984+1 167371 L165 2007 Divides GF(555978,3) 379 347*2^544887+1 164030 L679 2009 Divides GF(544886,5) 380 37510*3^337592+1 161077 p126 2006 Generalized Cullen 381 2*1031^53111+1 160038 g404 2009 Divides Phi(1031^53111,2) 382 10^160016+8231328*10^80005+1 160017 D 2006 Palindrome 383 366439#+1 158936 p16 2001 Primorial 384 345*2^525977+1 158338 g258 2007 Divides GF(525974,6) 385 11*2^525589+1 158220 p116 2003 Divides GF(525588,6) 386 92278*50^92278+1 156783 g157 2008 Generalized Cullen 387 83660*72^83660-1 155390 g265 2003 Generalized Woodall 388 39*2^512997+1 154430 g267 2005 Divides GF(512994,5), GF(512995,6) 389 2*191^66971+1 152764 g404 2006 Divides Phi(191^66971,2) 390 56271*2^506439+1 152459 p243 2009 Generalized Cullen 391 2*431^56947+1 150026 g404 2007 Divides Phi(431^56947,2) 392 10^150008+4798974*10^75001+1 150009 D 2006 Palindrome 393 10^150006+7426247*10^75000+1 150007 p5 2005 Palindrome 394 2*1931^45605+1 149849 g404 2007 Divides Phi(1931^45605,2) 395 243*2^495732+1 149233 L165 2007 Divides Fermat F(495728), GF(495726,3), GF(495728,6), GF(495727,12) 396 81778*66^81778+1 148804 g157 2007 Generalized Cullen 397b 103444*3^310332-1 148072 p260 2009 Generalized Woodall 398b 9265*2^482072+1 145123 L635 2009 Divides GF(482070,10) 399 481899*2^481899+1 145072 gm 1998 Cullen 400d 1995*2^479842+1 144451 p240 2009 Divides GF(479838,5) 401 2*599^51983+1 144380 g404 2008 Divides Phi(599^51983,2) 402 72048*10^144096+1 144101 g157 2005 Generalized Cullen 403 651*2^476632+1 143484 L668 2008 Divides Fermat F(476624) 404 34790!-1 142891 p85 2002 Factorial 405b 6841*2^474348+1 142797 L1065 2009 Divides GF(474347,10) 406 89*2^472099+1 142118 p114 2004 Divides Fermat F(472097) 407 88195*40^88195+1 141299 x37 2009 Generalized Cullen 408 64872*145^64872+1 140218 g142 2005 Generalized Cullen 409 10^140008+4546454*10^70001+1 140009 D 2005 Palindrome 410 2*191^61303+1 139835 g404 2006 Divides Phi(191^61303,2) [g187] 411 99*10^139670-1 139672 p200 2006 Near-repdigit 412 292340*3^292340-1 139488 p120 2004 Generalized Woodall 413 91848*33^91848+1 139478 g157 2006 Generalized Cullen 414e 3911*2^462579+1 139254 L679 2009 Divides GF(462577,10) 415 9*2^461081+1 138801 g122 2003 Divides Fermat F(461076), GF(461077,3), GF(461077,6), GF(461077,12) 416f 1791*2^460696+1 138687 p240 2009 Divides GF(460693,12) 417f 3203*2^459521+1 138334 L687 2009 Divides GF(459520,6) 418 61813*172^61813+1 138190 g407 2007 Generalized Cullen 419 45*2^458712+1 138088 L170 2007 Divides GF(458709,5), GF(458710,6) [K] 420 1061839*2^456790-1769267*2^340000-1 137514 p97 2007 Arithmetic progression (3,d=1061839*2^456789-1769267*2^340000) 421 1061839*2^456789-1 137514 L81 2005 Arithmetic progression (2,d=1061839*2^456789-1769267*2^340000) 422f 4377*2^456708+1 137487 L872 2009 Divides GF(456707,10) 423 76710*61^76710+1 136958 g157 2006 Generalized Cullen 424 62378*141^62378+1 134069 g407 2007 Generalized Cullen 425 74460*59^74460+1 131863 g157 2006 Generalized Cullen 426 2*863^44857+1 131701 g404 2008 Divides Phi(863^44857,2) 427 9*2^435743+1 131173 g122 2003 Divides GF(435742,10) 428 58897*166^58897+1 130763 g407 2007 Generalized Cullen 429 9999992*10^130127-1 130134 p200 2008 Near-repdigit 430 10^130048+(9*10^37077-2)/11*10^46486+1 130049 p235 2008 Tetradic palindrome 431 10^130036+116010611*10^65014+1 130037 D 2004 Palindrome 432 10^130022+3761673*10^65008+1 130023 D 2004 Palindrome 433 2*683^45797+1 129809 g404 2008 Divides Phi(683^45797,2) 434 17*2^429319-197*2^202534-1 129240 p162 2005 Arithmetic progression (3,d=17*2^429318-197*2^202534) 435 17*2^429318-1 129239 g267 2003 Arithmetic progression (2,d=17*2^429318-197*2^202534) [p162] 436c 10^127590+10^42297*(9*10^42997-2)/11+1 127591 x40 2009 Tetradic palindrome 437 10^127576+1081101080188810801011801*10^63776+1 127577 p185 2006 Tetradic, palindrome 438 2*23^93337+1 127100 gb1 2006 Divides Phi(23^93337,2) 439 2*4523^34421+1 125824 gb1 2004 Divides Phi(4523^34421,2) 440 88900*26^88900+1 125797 g157 2005 Generalized Cullen 441 70615*60^70615+1 125569 g157 2008 Generalized Cullen 442 2*359^49071+1 125382 g404 2007 Divides Phi(359^49071,2) 443 2*251^51905+1 124556 gb2 2006 Divides Phi(251^51905,2) 444 61652*103^61652-1 124101 p120 2004 Generalized Woodall 445 1207*2^410108+1 123458 g380 2005 Divides Fermat F(410105) 446 2*4079^33873+1 122301 gb2 2007 Divides Phi(4079^33873,2) 447 15*2^403929+1 121596 p114 2002 Divides GF(403927,10) 448 36635*1960^36635-1 120617 p117 2003 Generalized Woodall 449 10^120016+1726271*10^60005+1 120017 D 2004 Palindrome 450 10^120002+1617161*10^59998+1 120003 D 2004 Palindrome 451 3*10^119292-1 119293 p135 2006 Near-repdigit 452 69*2^394574+1 118781 p219 2008 Divides GF(394572,12) 453 91850*19^91850-1 117459 p237 2008 Generalized Woodall 454 92711*18^92711-1 116383 p242 2009 Generalized Woodall 455 64227*2^385362-1 116011 p77 2003 Generalized Woodall 456 2*491^42801+1 115182 g404 2007 Divides Phi(491^42801,2) 457 3*2^382449+1 115130 g132 1999 Divides Fermat F(382447), GF(382447,3), GF(382447,12), GF(382443,6) 458 119*2^376951+1 113476 g233 2006 Divides GF(376950,12) 459 145359*6^145359-1 113117 p234 2008 Generalized Woodall 460 8511*2^374486-1 112736 p77 2003 Generalized Woodall 461 45*2^368554-405769059*2^180009-1 110948 p108 2003 Arithmetic progression (3,d=45*2^368553-405769059*2^180009) 462 45*2^368553-1 110948 L4 2003 Arithmetic progression (2,d=45*2^368553-405769059*2^180009) [p108] 463 2^364289-2^182145+1 109662 p58 2001 Gaussian Mersenne norm 35 464 3*2^362765+1 109204 g245 2002 Divides GF(362763,12), GF(362764,10) 465 2*8039^27953+1 109163 gb1 2004 Divides Phi(8039^27953,2) 466 75*2^361614+1 108859 p114 2004 Divides GF(361612,10) 467 361275*2^361275+1 108761 DS 1998 Cullen 468 995*10^107888-1 107891 p218 2007 Near-repdigit 469 26951!+1 107707 p65 2002 Factorial 470 17883*2^357662-1 107672 p103 2003 Generalized Woodall 471 9*10^107663-1 107664 p122 2004 Near-repdigit 472 65555*42^65555-1 106417 p239 2008 Generalized Woodall 473 10^105022+523111325*10^52507+1 105023 D 2008 Palindrome 474 10^105018+920383029*10^52505+1 105019 D 2008 Palindrome 475 10^105016+318939813*10^52504+1 105017 D 2008 Palindrome 476 10^105014+682787286*10^52503+1 105015 D 2008 Palindrome 477 10^105014+424787424*10^52503+1 105015 D 2008 Palindrome 478 10^104281-10^52140-1 104281 p16 2003 Near-repdigit, palindrome 479 163*2^343190+1 103313 g258 2005 Divides GF(343189,10) 480 1769267*2^340000-1 102357 L4 2003 Arithmetic progression (1,d=1061839*2^456789-1769267*2^340000) 481 485*2^338297+1 101841 L203 2007 Divides Fermat F(338295) [K] 482d 65516468355*2^333333+1 100355 L923 2009 Twin (p+2) 483d 65516468355*2^333333-1 100355 L923 2009 Twin (p) 484 28782838101*2^333333-1 100354 L453 2007 Arithmetic progression (3,d=3371818539*2^333335) [g282] 485 26273597661*2^333333-1 100354 L329 2007 Arithmetic progression (3,d=38478921*2^333341) [g282] 486 16422993885*2^333333-1 100354 L392 2007 Arithmetic progression (2,d=38478921*2^333341) [g282] 487 15295563945*2^333333-1 100354 L271 2007 Arithmetic progression (2,d=3371818539*2^333335) [g282] 488 14470366551*2^333333-1 100354 L315 2007 Arithmetic progression (1,d=168667635*2^333334) [g348] 489 6572390109*2^333333-1 100354 L255 2007 Arithmetic progression (1,d=38478921*2^333341) [g282] 490 1808289789*2^333333-1 100353 L212 2007 Arithmetic progression (1,d=3371818539*2^333335) [g282] 491 54528*69^54528-1 100274 p120 2004 Generalized Woodall 492 10^100000-10^61403-1 100000 p62 2001 Near-repdigit 493 10^95019-10^47509-1 95019 p16 2003 Near-repdigit, palindrome 494 99999*10^94039-1 94044 p199 2006 Near-repdigit 495 891*2^311033+1 93634 p114 2005 Divides GF(311032,10) 496 99999*10^92226-1 92231 p199 2006 Near-repdigit 497 9*2^304607+1 91697 g23 1998 Divides GF(304604,6) 498 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] 499 15*2^300488+1 90458 p114 2002 Divides GF(300479,6), GF(300484,10) 500 99995*10^87092-1 87097 p199 2006 Near-repdigit 501 211*2^287388+1 86515 p43 2004 Divides Fermat F(287384) 502 5*10^85142-1 85143 g243 2005 Near-repdigit 503 51*2^282719+1 85109 g196 2002 Divides Fermat F(282717) 504 21480!-1 83727 p65 2001 Factorial 505 41*2^274897+1 82754 g305 2004 Divides GF(274896,10) 506 63*2^270094+1 81309 gt 2002 Divides Fermat F(270091) 507 (10^40293-1)^2-2 80586 p48 2004 Near-repdigit 508 262419*2^262419+1 79002 DS 1998 Cullen 509 5*10^78790-1 78791 g243 2005 Near-repdigit 510a 620366307356565*2^253825-1 76424 x24 2009 Sophie Germain (2p+1) 511a 620366307356565*2^253824-1 76424 x24 2009 Sophie Germain (p) 512 8*10^74318-1 74319 g243 2004 Near-repdigit 513 99995*10^73668-1 73673 p199 2006 Near-repdigit 514 10^72500-7*10^25509-1 72500 p48 2003 Near-repdigit 515 96*10^71600-1 71602 p194 2006 Near-repdigit 516 99998*10^69842-1 69847 p199 2006 Near-repdigit 517 2^216091-1 65050 S 1985 Mersenne 31 518 3*2^213321+1 64217 Y 1997 Divides Fermat F(213319); GF(213319,5), GF(213316,6), GF(213319,12) [g0] 519 145823#+1 63142 p21 2000 Primorial 520 2^203789+2^101895+1 61347 O 2000 Gaussian Mersenne norm 34 521 197*2^202534-1 60972 L40 2004 Arithmetic progression (1,d=17*2^429318-197*2^202534) [p162] 522 2003663613*2^195000+1 58711 L202 2007 Twin (p+2) 523 2003663613*2^195000-1 58711 L202 2007 Twin (p) 524c 607095*2^176312-1 53081 L983 2009 Sophie Germain (2p+1) 525c 607095*2^176311-1 53081 L983 2009 Sophie Germain (p) 526 48047305725*2^172404-1 51910 L99 2007 Sophie Germain (2p+1) 527 48047305725*2^172403-1 51910 L99 2007 Sophie Germain (p) 528 137211941292195*2^171961-1 51780 x24 2006 Sophie Germain (2p+1) 529 194772106074315*2^171960+1 51780 x24 2007 Twin (p+2) 530 194772106074315*2^171960-1 51780 x24 2007 Twin (p) 531 137211941292195*2^171960-1 51780 x24 2006 Sophie Germain (p) 532 100314512544015*2^171960+1 51780 x24 2006 Twin (p+2) 533 100314512544015*2^171960-1 51780 x24 2006 Twin (p) 534 16869987339975*2^171960+1 51779 x24 2005 Twin (p+2) 535 16869987339975*2^171960-1 51779 x24 2005 Twin (p) 536 33218925*2^169690+1 51090 g259 2002 Twin (p+2) 537 33218925*2^169690-1 51090 g259 2002 Twin (p) 538 2^160423-2^80212+1 48293 O 2000 Gaussian Mersenne norm 33 539 primV(40395,-1,15588) 47759 x23 2007 Generalized Lucas primitive part 540 primV(53394,-1,15264) 47200 CH4 2007 Generalized Lucas primitive part 541 151023*2^151023-1 45468 g25 1998 Woodall 542 71509*2^143019-1 43058 g23 1998 Woodall, arithmetic progression (2,d=(143018*2^83969-80047)*2^59049) [x12] 543 2^132049-1 39751 S 1983 Mersenne 30 544f 33759183*2^123459-1 37173 L527 2009 Sophie Germain (2p+1) 545f 33759183*2^123458-1 37173 L527 2009 Sophie Germain (p) 546 (28839^8317-1)/28838 37090 CH6 2006 Generalized repunit 547 7068555*2^121302-1 36523 L100 2005 Sophie Germain (2p+1) 548 7068555*2^121301-1 36523 L100 2005 Sophie Germain (p) 549 307259241*2^115599+1 34808 g336 2009 Twin (p+2) 550 307259241*2^115599-1 34808 g336 2009 Twin (p) 551 primV(38513,-1,11502) 34668 x23 2006 Generalized Lucas primitive part 552 2540041185*2^114730-1 34547 g294 2003 Sophie Germain (2p+1) 553 2540041185*2^114729-1 34547 g294 2003 Sophie Germain (p) 554 60194061*2^114689+1 34533 g294 2002 Twin (p+2) 555 60194061*2^114689-1 34533 g294 2002 Twin (p) 556 primV(9008,1,16200) 34168 x23 2005 Generalized Lucas primitive part 557 2^110503-1 33265 WC 1988 Mersenne 29 558 108615*2^110342+1 33222 L113 2008 Twin (p+2) 559 108615*2^110342-1 33222 L113 2008 Twin (p) 560 1124044292325*2^108000-1 32524 L99 2006 Sophie Germain (2p+1) 561 1124044292325*2^107999-1 32523 L99 2006 Sophie Germain (p) 562 112886032245*2^108001-1 32523 L99 2006 Sophie Germain (2p+1) 563 112886032245*2^108000-1 32523 L99 2006 Sophie Germain (p) 564 1765199373*2^107520+1 32376 g182 2002 Twin (p+2) 565 1765199373*2^107520-1 32376 g182 2002 Twin (p) 566 318032361*2^107001+1 32220 p100 2001 Twin (p+2) 567 318032361*2^107001-1 32220 p100 2001 Twin (p) 568 2^106693+2^53347+1 32118 O 2000 Gaussian Mersenne norm 32 569a 532323*2^104390+1 31431 L983 2009 Cunningham chain 2nd kind (2p-1) 570a 532323*2^104389+1 31430 L983 2009 Cunningham chain 2nd kind (p) 571 primV(10987,1,14400) 31034 x25 2005 Generalized Lucas primitive part 572 156733989*2^100007+1 30114 L95 2008 Twin (p+2) 573 156733989*2^100007-1 30114 L95 2008 Twin (p) 574 1046619117*2^100000+1 30113 L467 2007 Twin (p+2) 575 1046619117*2^100000-1 30113 L467 2007 Twin (p) 576 49363*2^98727-1 29725 Y 1997 Woodall 577 U(2341,-1,8819) 29712 x25 2008 Generalized Lucas number 578 18912879*2^98396-1 29628 p94 2002 Sophie Germain (2p+1) 579 18912879*2^98395-1 29628 p94 2002 Sophie Germain (p) 580 1807318575*2^98305+1 29603 g216 2001 Twin (p+2) 581 1807318575*2^98305-1 29603 g216 2001 Twin (p) 582 primV(24127,-1,6718) 29433 CH3 2005 Generalized Lucas primitive part 583d 744678855*2^95000+1 28607 L922 2009 Twin (p+2) 584d 744678855*2^95000-1 28607 L922 2009 Twin (p) 585 primV(205011) 28552 x39 2009 Lucas primitive part 586 U(16531,1,6721)-U(16531,1,6720) 28347 x36 2007 Lehmer number 587d 581627055*2^93182+1 28060 p35 2009 Cunningham chain 2nd kind (2p-1) 588d 581627055*2^93181+1 28060 p35 2009 Cunningham chain 2nd kind (p) 589 90825*2^90825+1 27347 Y 1997 Cullen 590 primV(5673,1,13500) 27028 CH3 2005 Generalized Lucas primitive part 591 3364553235*2^88889-1 26768 L652 2009 Sophie Germain (2p+1) 592 3364553235*2^88888-1 26768 L652 2009 Sophie Germain (p) 593 primV(44368,1,9504) 26768 CH3 2005 Generalized Lucas primitive part 594e (3429^7549-1)/3428 26684 c13 2009 Generalized repunit 595 primV(10986,-1,9756) 26185 x23 2005 Generalized Lucas primitive part 596 2^86243-1 25962 S 1982 Mersenne 28 597 primV(11076,-1,12000) 25885 x25 2005 Generalized Lucas primitive part 598 2^85237+2^42619+1 25659 x16 2000 Gaussian Mersenne norm 31 599 primV(42,-1,23376) 25249 x23 2007 Generalized Lucas primitive part 600 primV(7577,-1,10692) 25140 x33 2007 Generalized Lucas primitive part 601 primV(44573,-1,10125) 25105 CH4 2007 Generalized Lucas primitive part 602 10495740081*2^83126-1 25034 L99 2006 Sophie Germain (2p+1) 603 10495740081*2^83125-1 25034 L99 2006 Sophie Germain (p) 604 7473214125*2^83125+1 25033 L99 2006 Twin (p+2) 605 7473214125*2^83125-1 25033 L99 2006 Twin (p) 606 11694962547*2^83124+1 25033 L99 2006 Twin (p+2) 607 11694962547*2^83124-1 25033 L99 2006 Twin (p) 608 58950603*2^83130+1 25033 L99 2006 Twin (p+2) 609 58950603*2^83130-1 25033 L99 2006 Twin (p) 610 1030739199*2^82019+1 24700 g258 2009 Twin (p+2) 611 1030739199*2^82019-1 24700 g258 2009 Twin (p) 612 61078155*2^82003-1 24694 L99 2006 Sophie Germain (2p+1) 613 61078155*2^82002-1 24693 L99 2006 Sophie Germain (p) 614 primV(19285,1,10800) 24683 x25 2005 Generalized Lucas primitive part 615 (13096^5953-1)/13095 24506 CH6 2007 Generalized repunit 616 1213822389*2^81132-1 24433 g250 2002 Sophie Germain (2p+1) 617 1213822389*2^81131-1 24432 g250 2002 Sophie Germain (p) 618 primV(2425,1,13500) 24370 x23 2006 Generalized Lucas primitive part 619 5583295473*2^80828+1 24342 g336 2006 Twin (p+2) 620 5583295473*2^80828-1 24342 g336 2006 Twin (p) 621 3853775193*2^80001+1 24093 L109 2007 Cunningham chain 2nd kind (2p-1) 622 3853775193*2^80000+1 24092 L109 2007 Cunningham chain 2nd kind (p) 623 primV(14261,1,10800) 23928 x23 2005 Generalized Lucas primitive part 624 primV(13964,1,8856) 23876 CH3 2005 Generalized Lucas primitive part 625 primV(3464,1,6722) 23786 x23 2006 Generalized Lucas primitive part 626 1504084599*2^78342+1 23593 g290 2004 Cunningham chain 2nd kind (2p-1) 627 964487139*2^78342+1 23593 g290 2004 Cunningham chain 2nd kind (2p-1) 628 1504084599*2^78341+1 23593 g290 2004 Cunningham chain 2nd kind (p) 629 964487139*2^78341+1 23592 g290 2004 Cunningham chain 2nd kind (p) 630 6917!-1 23560 g1 1998 Factorial 631 (89^11971-1)/88 23335 CH2 2009 Generalized repunit 632 (23151^5347-1)/23150 23333 c13 2008 Generalized repunit 633 2^77291+2^38646+1 23267 O 2000 Gaussian Mersenne norm 30 634 primV(3711,1,9882) 23131 x25 2005 Generalized Lucas primitive part 635 (5855^6121-1)/5854 23058 CH1 2005 Generalized repunit 636 primV(20384,1,5281) 22754 x25 2003 Generalized Lucas primitive part, cyclotomy 637 64670473*2^74147+3 22329 g422 2009 Sophie Germain (2p+1) 638 64670473*2^74146+1 22328 L446 2009 Sophie Germain (p) 639c 232197*2^73458-1 22119 L983 2009 Sophie Germain (2p+1) 640c 232197*2^73457-1 22119 L983 2009 Sophie Germain (p) 641 U(19258,-1,5039) 21586 x23 2007 Generalized Lucas number 642c 398901*2^71470-1 21521 L983 2009 Sophie Germain (2p+1) 643c 398901*2^71469-1 21520 L983 2009 Sophie Germain (p) 644 6380!+1 21507 g1 1998 Factorial 645 U(15631,1,5040)-U(15631,1,5039) 21134 x25 2003 Lehmer number 646 2566851867*2^70002-1 21083 L109 2007 Sophie Germain (2p+1) 647 2566851867*2^70001-1 21082 L109 2007 Sophie Germain (p) 648 ((((((2521008887^3+80)^3+12)^3+450)^3+894)^3+3636)^3+70756)^3+97220 20562 FE1 2006 ECPP, Mills' prime 649 U(11200,-1,5039) 20400 x25 2004 Generalized Lucas number, cyclotomy 650 1040131975*2^66459+3 20016 g258 2007 Sophie Germain (2p+1) 651 1040131975*2^66458+1 20015 g258 2007 Sophie Germain (p) 652 109433307*2^66453-1 20013 g205 2001 Sophie Germain (2p+1) 653 109433307*2^66452-1 20013 g205 2001 Sophie Germain (p) 654 (9473^4969-1)/9472 19756 CH2 2008 Generalized repunit 655 (14261^4663-1)/14260 19367 c13 2007 Generalized repunit 656 U(6584,-1,5039) 19238 x23 2007 Generalized Lucas number 657 (13782^4591-1)/13781 19000 c13 2007 Generalized repunit 658 (15637^4513-1)/15636 18925 c13 2007 Generalized repunit 659 42209#+1 18241 p8 1999 Primorial 660 7457*2^59659+1 17964 Y 1997 Cullen 661 (18067^4201-1)/18066 17879 c13 2002 Generalized repunit 662 (19026^4051-1)/19025 17332 c13 2008 Generalized repunit 663 U(9657,1,4321)-U(9657,1,4320) 17215 x23 2005 Lehmer number 664 U(81839) 17103 p54 2001 Fibonacci number 665 (4735^4621-1)/4734 16980 CH3 2005 Generalized repunit 666 (11031^4177-1)/11030 16882 p54 2005 Generalized repunit 667 U(15823,1,3960)-U(15823,1,3959) 16625 x25 2002 Lehmer number, cyclotomy 668 U(10803,1,4081)-U(10803,1,4080) 16457 x25 2005 Lehmer number, cyclotomy 669 U(11091,-1,4049) 16375 CH3 2005 Generalized Lucas number 670 U(2554,-1,4751) 16185 CH3 2005 Generalized Lucas number 671 U(1599,-1,5039) 16141 x23 2007 Generalized Lucas number 672 U(10853,1,3960)+U(10853,1,3959) 15977 x25 2002 Lehmer number, cyclotomy 673 U(9667,1,3960)-U(9667,1,3959) 15778 x25 2002 Lehmer number, cyclotomy 674 U(14257,-1,3779) 15694 x25 2004 Generalized Lucas number, cyclotomy 675 (U(9275,1,3961)+U(9275,1,3960))/(U(9275,1,45)+U(9275,1,44)) 15537 x38 2009 Lehmer primitive part 676 (15134^3697-1)/15133 15450 CH6 2007 Generalized repunit 677 (16339^3613-1)/16338 15219 c13 2008 Generalized repunit 678 2638^4405+4405^2638 15071 FE3 2004 ECPP 679 (4018^4177-1)/4017 15051 c13 2008 Generalized repunit 680 (7372^3889-1)/7371 15038 CH6 2007 Generalized repunit 681 U(8747,1,3780)+U(8747,1,3779) 14897 x25 2005 Lehmer number 682 (2147483647^1597-1)/1361551397315358942 14885 FE7 2009 ECPP 683 U(25700,1,3360)+U(25700,1,3359) 14813 x25 2004 Lehmer number, cyclotomy 684 2^49207-2^24604+1 14813 x16 2000 Gaussian Mersenne norm 29 685 (15679^3499-1)/15678 14676 x25 2003 Generalized repunit 686 U(1493,-1,4621) 14665 CH3 2005 Generalized Lucas number 687 U(4951,1,3960)-U(4951,1,3959) 14628 CH3 2005 Lehmer number 688 (2728^4231-1)/2727 14534 c13 2007 Generalized repunit 689 U(12924,-12925,3499) 14382 x25 2005 Generalized Lucas number 690 U(12113,-1,3499) 14284 CH3 2005 Generalized Lucas number 691 U(5192,1,3841)-U(5192,1,3840) 14267 x23 2005 Lehmer number 692 U(2441,-1,4201) 14228 CH3 2005 Generalized Lucas number 693 U(3865,1,3960)+U(3865,1,3959) 14202 x25 2002 Lehmer number, cyclotomy 694 U(3645,1,3841)-U(3645,1,3840) 13677 x25 2005 Lehmer number 695 U(11194,-11195,3361) 13605 x25 2004 Generalized Lucas number 696 U(2219,-1,4049) 13546 CH3 2005 Generalized Lucas number 697 U(475,-1,5039) 13486 x25 2003 Generalized Lucas number, cyclotomy 698 U(7644,1,3421)-U(7644,1,3420) 13281 CH3 2005 Lehmer number 699 U(10206,1,3276)-U(10206,1,3275) 13130 x23 2005 Lehmer number 700 U(7537,-7538,3361) 13028 x23 2007 Generalized Lucas number 701 U(7512,-7513,3361) 13023 x25 2004 Generalized Lucas number 702 U(2783,-1,3779) 13014 CH3 2005 Generalized Lucas number 703 U(7128,-1,3361) 12946 x25 2004 Generalized Lucas number, cyclotomy 704 (2^42737+1)/3 12865 M 2007 ECPP, generalized Lucas number, Wagstaff 705 U(12159,1,3150)-U(12159,1,3149) 12864 x25 2005 Lehmer number, cyclotomy 706 U(5485,1,3421)+U(5485,1,3420) 12788 CH3 2005 Lehmer number 707 (V(49596,1,3375)+1)/(V(49596,1,675)+1) 12678 x25 2006 Lehmer primitive part 708 (V(47025,1,3375)-1)/(V(47025,1,675)-1) 12616 x25 2006 Lehmer primitive part 709 (V(44524,1,3375)-1)/(V(44524,1,675)-1) 12552 x23 2006 Lehmer primitive part 710 U(6393,1,3276)-U(6393,1,3275) 12464 x25 2005 Lehmer number, cyclotomy 711 (V(37511,1,3375)-1)/(V(37511,1,675)-1) 12351 x25 2006 Lehmer primitive part 712 (V(32362,1,3375)+1)/(V(32362,1,675)+1) 12178 x23 2006 Lehmer primitive part 713 U(4857,1,3300)-U(4857,1,3299) 12162 x25 2005 Lehmer number, cyclotomy 714 (V(30226,1,3375)-1)/(V(30226,1,675)-1) 12098 x25 2006 Lehmer primitive part 715 primV(57724) 12063 p54 2001 Lucas primitive part, cyclotomy 716 U(5989,1,3169)-U(5989,1,3168) 11967 x25 2005 Lehmer number 717 111871891*27751#+1 11961 p155 2008 Arithmetic progression (4,d=3624707*27751#) 718 103098395*27751#+1 11961 p155 2007 Arithmetic progression (4,d=809963*27751#) 719 102293041*27751#+1 11961 p155 2007 Arithmetic progression (4,d=412064*27751#) 720 V(56003) 11704 p193 2006 Lucas number 721 primU(67825) 11336 x23 2007 Fibonacci primitive part 722 3610!-1 11277 C 1993 Factorial 723 (V(11258,1,3375)+1)/(V(11258,1,675)+1) 10939 x23 2006 Lehmer primitive part 724 3507!-1 10912 C 1992 Factorial 725 (V(10638,1,3375)-1)/(V(10638,1,675)-1) 10873 x25 2006 Lehmer primitive part 726 (V(983,1,3609)-1)/(V(983,1,9)-1) 10774 x23 2006 Lehmer primitive part 727 primV(77058) 10729 CH3 2005 Lucas primitive part 728 (V(9352,1,3375)+1)/(V(9352,1,675)+1) 10722 x25 2005 Lehmer primitive part 729 V(51169) 10694 p54 2001 Lucas number 730 U(50833) 10624 CH4 2005 Fibonacci number 731 46915147*2^35000+1 10544 p43 2007 Arithmetic progression (4,d=9548007*2^35000) 732 (V(7792,1,3375)-1)/(V(7792,1,675)-1) 10508 x25 2006 Lehmer primitive part 733 primV(77841) 10496 x25 2005 Lucas primitive part 734 (V(812,1,3609)+1)/(V(812,1,9)+1) 10475 x25 2006 Lehmer primitive part 735 24029#+1 10387 C 1993 Primorial 736 6*Bern(4306)/2153 10342 FE8 2009 Irregular, ECPP 737 23801#+1 10273 C 1993 Primorial 738 59056921173*2^34030+7 10255 FE6 2009 ECPP 739 (U(11987,1,2521)-U(11987,1,2520))/(U(11987,1,36)-U(11987,1,35)) 10136 x38 2009 Lehmer primitive part 740 1234^3265+3265^1234 10094 FE1 2005 ECPP 741 Phi(427,-10^28) 10081 FE9 2009 Unique, ECPP 742 2739^2930+2930^2739 10073 FE1 2005 ECPP 743 2072644824759*2^33333+5 10047 FE5 2008 Triplet (3), ECPP 744 2072644824759*2^33333+1 10047 L645 2008 Triplet (2) 745 2072644824759*2^33333-1 10047 L645 2008 Triplet (1) 746 409331735*2^33333+1 10043 p155 2007 Arithmetic progression (4,d=104086947*2^33333) 747 648^3571+3571^648 10041 M 2003 ECPP 748 10^9999+33603 10000 FE2 2003 ECPP 749 (U(10227,1,2521)+U(10227,1,2520))/(U(10227,1,36)+U(10227,1,35)) 9965 x38 2009 Lehmer primitive part 750 (V(8259,1,2517)-1)/(V(8259,1,3)-1) 9848 x25 2005 Lehmer primitive part 751 32469*2^32469+1 9779 MM 1997 Cullen 752 8073*2^32294+1 9726 MM 1997 Cullen 753 (U(6954,1,2521)-U(6954,1,2520))/(U(6954,1,36)-U(6954,1,35)) 9548 x38 2009 Lehmer primitive part 754 V(44507) 9302 CH3 2005 Lucas number 755 2658^2659+2659^2658 9106 FE1 2005 ECPP 756 13^8148+2716^2197 9077 M 2005 ECPP 757 (V(2247,1,3375)-1)/(V(2247,1,675)-1) 9050 x25 2006 Lehmer primitive part 758 (V(3798,1,2529)-1)/(V(3798,1,9)-1) 9021 x25 2006 Lehmer primitive part 759 2319^2680+2680^2319 9020 M 2004 ECPP 760 (V(8162,1,2307)-1)/(V(8162,1,3)-1) 9013 x25 2005 Lehmer primitive part 761e 2^29727+20273 8949 c18 2009 ECPP 762 2^27529-2^13765+1 8288 O 2000 Gaussian Mersenne norm 28 763 primV(39124) 8176 CH3 2005 Lucas primitive part 764e Phi(1887,-11758041)/(7549*19070968058734261) 8125 c13 2009 ECPP 765 1647^2518+2518^1647 8100 FE1 2005 ECPP 766 197^3514+3514^197 8063 M 2004 ECPP 767 1995^2438+2438^1995 8046 FE1 2003 ECPP 768 18523#+1 8002 D 1989 Primorial 769 164210699973*2^26328-1 7937 p158 2006 Cunningham chain (4p+3) 770 164210699973*2^26327-1 7937 p158 2006 Cunningham chain (2p+1) 771 164210699973*2^26326-1 7937 p158 2006 Cunningham chain (p) 772 U(37511) 7839 x13 2005 Fibonacci number 773 -E(2762)/2670541 7760 c11 2004 Euler irregular, ECPP 774 V(36779) 7687 CH3 2005 Lucas number 775 197418203*2^25000+6089 7535 FE4 2005 ECPP, consecutive primes arithmetic progression (3,d=6090) 776 197418203*2^25000-1 7535 p164 2005 Consecutive primes arithmetic progression (2,d=6090) 777 197418203*2^25000-6091 7535 FE4 2005 ECPP, consecutive primes arithmetic progression (1,d=6090) 778 U(35999) 7523 p54 2001 Fibonacci number, cyclotomy 779d Phi(4029,-1000) 7488 c47 2009 Unique, ECPP 780 V(35449) 7409 p12 2001 Lucas number 781 87*2^24582+2579 7402 c31 2004 ECPP, consecutive primes arithmetic progression (3,d=1290) 782 87*2^24582+1289 7402 c31 2004 ECPP, consecutive primes arithmetic progression (2,d=1290) 783 87*2^24582-1 7402 g106 1999 Consecutive primes arithmetic progression (1,d=1290) [c31] 784 V(34759)/27112021 7257 c33 2005 Lucas cofactor, ECPP 785 Phi(9455,-10) 7200 c33 2005 Unique, ECPP 786b Phi(1479,-100000000) 7168 c47 2009 Unique, ECPP 787 164084347*16229#+1 7009 p155 2009 Arithmetic progression (5,d=20333209*16229#) 788 primA(82975) 6935 p54 2001 Lucas Aurifeuillian primitive part 789 23005*2^23005-1 6930 Y 1997 Woodall 790 22971*2^22971-1 6920 Y 1997 Woodall 791 2852851249*16001#/5+1 6913 p199 2008 Arithmetic progression (5,d=2653152*16001#) 792 2399771561*16001#/5+1 6913 p199 2008 Arithmetic progression (5,d=86574302*16001#) 793 1638535589*16001#/5+1 6913 p199 2008 Arithmetic progression (5,d=2003735*16001#) 794 Phi(2405,-10000) 6912 c47 2009 Unique,ECPP 795 15877#-1 6845 CD 1992 Primorial 796 Phi(10887,10) 6841 c33 2005 Unique, ECPP 797 primV(48381) 6741 x23 2005 Lucas primitive part 798 primU(40295) 6737 p12 2001 Fibonacci primitive part 799 primV(39700) 6621 p54 2001 Lucas primitive part 800 U(30757) 6428 p54 2001 Fibonacci number, cyclotomy 801 U(30671)/1141737296775689 6395 c41 2005 Fibonacci cofactor, ECPP 802 Phi(7357,-10) 6301 c33 2004 Unique, ECPP 803 Phi(6437,10) 6240 c47 2008 Unique, ECPP 804c (2^20887-1)/(694257144641*3156563122511*28533972487913*189380444251383\ 6092687) 6229 c4 2009 Mersenne cofactor, ECPP 805 5612052289*14489#/5+5 6223 c18 2008 Triplet (3), ECPP 806 5612052289*14489#/5+1 6223 p41 2008 Triplet (2) 807 5612052289*14489#/5-1 6223 p41 2008 Triplet (1) 808 4811*2^20219+1 6091 DM 1996 Consecutive primes arithmetic progression (3,d=3738) [c36] 809 4811*2^20219-3737 6091 c36 2004 ECPP, consecutive primes arithmetic progression (2,d=3738) 810 4811*2^20219-7475 6091 c36 2004 ECPP, consecutive primes arithmetic progression (1,d=3738) 811 3020255265*2^20025-1 6038 p133 2005 Cunningham chain (4p+3) 812 3020255265*2^20024-1 6038 p133 2005 Cunningham chain (2p+1) 813 3020255265*2^20023-1 6038 p133 2005 Cunningham chain (p) 814 primV(28844) 6028 p12 2001 Lucas primitive part 815 13649#+1 5862 D 1987 Primorial 816 18885*2^18885-1 5690 K 1987 Woodall 817 1963!-1 5614 CD 1992 Factorial 818 13033#-1 5610 CD 1992 Primorial 819c p(25235715) 5588 c46 2009 Partitions, ECPP 820 p(25102542) 5574 c39 2009 Partitions, ECPP 821 289*2^18502+1 5573 K 1984 Cullen, generalized Fermat 822 p(24512858) 5508 c42 2007 Partitions, ECPP 823 p(24503300) 5507 c42 2007 Partitions, ECPP 824b 387977793*2^17866+1 5387 L983 2009 Cunningham chain 2nd kind (4p-3) 825 U(25561) 5342 p54 2001 Fibonacci number 826 p(23028252) 5338 c42 2008 Partitions, ECPP 827 p(23010067) 5336 c42 2007 Partitions, ECPP 828 primV(25504) 5324 F3 2001 Lucas primitive part, APR-CL assisted 829d p(22857207) 5318 c46 2009 Partitions, ECPP 830b p(22810361) 5313 c46 2009 Partitions, ECPP 831c (2^17683-1)/(234000819833373807217*62265855698776681155719328257) 5274 c4 2009 Mersenne cofactor, ECPP 832 p(22312025) 5254 c39 2007 Partitions, ECPP 833 2366867925*2^17208+1 5190 p133 2004 Cunningham chain 2nd kind (4p-3) 834 (99241437759*205881*4001#*(205881*4001#+1)+210)*(205881*4001#-1)/35+7 5132 p179 2006 Triplet (3) 835 (99241437759*205881*4001#*(205881*4001#+1)+210)*(205881*4001#-1)/35+5 5132 p179 2006 Triplet (2) 836 (99241437759*205881*4001#*(205881*4001#+1)+210)*(205881*4001#-1)/35+1 5132 p179 2006 Triplet (1) 837 (91456744909*205881*4001#*(205881*4001#+1)+210)*(205881*4001#-1)/35+11 5132 p179 2006 Triplet (3) 838 (91456744909*205881*4001#*(205881*4001#+1)+210)*(205881*4001#-1)/35+7 5132 p179 2006 Triplet (2) 839 (91456744909*205881*4001#*(205881*4001#+1)+210)*(205881*4001#-1)/35+5 5132 p179 2006 Triplet (1) 840 (84055657369*205881*4001#*(205881*4001#+1)+210)*(205881*4001#-1)/35+13 5132 p179 2006 Consecutive primes arithmetic progression (3,d=6) 841 (84055657369*205881*4001#*(205881*4001#+1)+210)*(205881*4001#-1)/35+7 5132 p179 2006 Consecutive primes arithmetic progression (2,d=6) 842 (84055657369*205881*4001#*(205881*4001#+1)+210)*(205881*4001#-1)/35+1 5132 p179 2006 Consecutive primes arithmetic progression (1,d=6) 843 (63140956174*205881*4001#*(205881*4001#+1)+210)*(205881*4001#-1)/35+7 5132 p179 2005 Triplet (3) 844 (63140956174*205881*4001#*(205881*4001#+1)+210)*(205881*4001#-1)/35+5 5132 p179 2005 Triplet (2) 845 (63140956174*205881*4001#*(205881*4001#+1)+210)*(205881*4001#-1)/35+1 5132 p179 2005 Triplet (1) 846 (61310346529*205881*4001#*(205881*4001#+1)+210)*(205881*4001#-1)/35+13 5132 p179 2005 Consecutive primes arithmetic progression (3,d=6) 847 (61310346529*205881*4001#*(205881*4001#+1)+210)*(205881*4001#-1)/35+7 5132 p179 2005 Consecutive primes arithmetic progression (2,d=6) 848 (61310346529*205881*4001#*(205881*4001#+1)+210)*(205881*4001#-1)/35+1 5132 p179 2005 Consecutive primes arithmetic progression (1,d=6) 849 (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)) 850 (2^17029-1)/418879343 5118 c8 2006 Mersenne cofactor, ECPP 851 33957462*Bern(2370)/40685 5083 c11 2003 Irregular, ECPP 852 primV(24998) 5033 c48 2008 Lucas primitive part, ECPP 853 16219299585*2^16614-1 5012 p158 2005 Cunningham chain (4p+3) 854 16219299585*2^16613-1 5012 p158 2005 Cunningham chain (2p+1) 855 16219299585*2^16612-1 5011 p158 2005 Cunningham chain (p) 856d p(20186952) 4998 c46 2009 Partitions, ECPP 857f primA(95475) 4966 c4 2009 Lucas Aurifeuillian primitive part, ECPP 858 11549#+1 4951 D 1986 Primorial 859c primV(24383) 4951 c4 2009 Lucas primitive part, ECPP 860c primV(27167) 4866 c4 2009 Lucas primitive part, ECPP 861e primV(28940) 4836 c4 2009 Lucas primitive part, ECPP 862 2288999415*2^15939-1 4808 p133 2004 Cunningham chain (4p+3) 863 2288999415*2^15938-1 4808 p133 2004 Cunningham chain (2p+1) 864 2288999415*2^15937-1 4807 p133 2004 Cunningham chain (p) 865 7911*2^15823-1 4768 K 1987 Woodall 866 V(22811)/(2469062641*84961206854418761) 4741 c8 2004 Lucas cofactor, ECPP 867 primU(25493) 4695 c8 2007 Fibonacci primitive part, ECPP 868d p(17819598) 4695 c46 2009 Partitions, ECPP 869 1793349831*2^15257+1 4603 p133 2004 Cunningham chain 2nd kind (4p-3) 870 p(17120312) 4602 c39 2007 Partitions, ECPP 871 p(17120303) 4602 c39 2007 Partitions, ECPP 872 1110159213*2^15166+1 4575 g250 2002 Cunningham chain 2nd kind (4p-3) 873 primB(95655) 4564 c4 2009 Lucas Aurifeuillian primitive part, ECPP 874 3345660375*2^15127+1 4564 p94 2002 Cunningham chain 2nd kind (4p-3) 875 Phi(6685,-10) 4560 c8 2003 Unique, ECPP 876 909092313*2^15060-1 4543 g250 2002 Cunningham chain (4p+3) 877 909092313*2^15059-1 4543 g250 2002 Cunningham chain (2p+1) 878 909092313*2^15058-1 4542 g250 2002 Cunningham chain (p) 879 primV(29810) 4515 c8 2004 Lucas primitive part, ECPP 880 E(1736)/(55695515*75284987831*3222089324971117) 4498 c4 2004 Euler irregular, ECPP 881 U(21577)/(8626362776257*608114436652075009) 4479 c8 2004 Fibonacci cofactor, ECPP 882e p(16102957) 4463 c46 2009 Partitions, ECPP 883 p(16026516) 4452 c39 2006 Partitions, ECPP 884 primU(34593) 4444 c8 2007 Fibonacci primitive part, ECPP 885 primA(53155) 4444 x25 2002 Lucas Aurifeuillian primitive part, cyclotomy 886 2^14699+2^7350+1 4425 O 2000 Gaussian Mersenne norm 27 887 primU(38181) 4414 c8 2007 Fibonacci primitive part, ECPP 888 primA(52825) 4414 x25 2003 Lucas Aurifeuillian primitive part 889 primB(79125) 4389 c4 2009 Lucas Aurifeuillian primitive part, ECPP 890e p(15502228) 4379 c46 2009 Partitions, ECPP 891 p(15446832) 4371 c8 2006 Partitions, ECPP 892 p(15432340) 4369 c8 2006 Partitions, ECPP 893 p(15421217) 4367 c8 2006 Partitions, ECPP 894 p(15415500) 4366 c8 2006 Partitions, ECPP 895 (2^14561-1)/8074991336582835391 4365 c8 2004 Mersenne cofactor, ECPP 896 (2^14621-1)/(1958650799081*9787919624201558678734079) 4365 c4 2008 Mersenne cofactor, ECPP 897 Phi(3273,-100) 4361 c8 2003 Unique, ECPP 898 (2^14479+1)/3 4359 c4 2004 Generalized Lucas number, Wagstaff, ECPP 899 Phi(1087,-10000) 4344 c8 2002 Unique, ECPP 900 primB(56815) 4314 c4 2009 Lucas Aurifeuillian primitive part, ECPP 901 primV(20578) 4301 p54 2001 Lucas primitive part 902 primU(21053) 4274 c8 2007 Fibonacci primitive part, ECPP 903 primU(31209) 4264 c8 2007 Fibonacci primitive part, ECPP 904 primV(21298) 4249 c4 2009 Lucas primitive part, ECPP 905 Phi(483,-10^16) 4224 c8 2002 Unique, ECPP 906 276474*Bern(2030)/(19426085*24191786327543) 4200 c8 2003 Irregular, ECPP 907 primU(25115) 4199 CH3 2005 Fibonacci primitive part 908 primU(30687) 4173 c8 2007 Fibonacci primitive part, ECPP 909 V(19469) 4069 x25 2002 Lucas number, cyclotomy, APR-CL assisted 910 1477!+1 4042 D 1984 Factorial 911 U(19433)/(8200903423639793*124790158973035710313*163702910239586286961\ 573) 4002 c8 2004 Fibonacci cofactor, ECPP 912 primV(19148) 4001 p12 2001 Lucas primitive part 913 U(19051)/44198321 3974 c8 2004 Fibonacci cofactor, ECPP 914 U(18919)/1497228584233 3942 c8 2004 Fibonacci cofactor, ECPP 915 primU(22939) 3933 c8 2007 Fibonacci primitive part, ECPP 916 Phi(1959,1000) 3912 c8 2002 Unique, ECPP 917 primA(52855) 3888 c4 2009 Lucas Aurifeuillian primitive part, ECPP 918 primU(23009) 3883 c8 2007 Fibonacci primitive part, ECPP 919 primV(18857) 3882 c4 2009 Lucas primitive part, ECPP 920 primV(23716) 3863 p54 2001 Lucas primitive part 921 primV(37830) 3853 c4 2009 Lucas primitive part, ECPP 922 -2730*Bern(1884)/100983617849 3844 c8 2003 Irregular, ECPP 923 2840178*Bern(1870)/85 3821 c8 2003 Irregular, ECPP 924 U(18427)/(1828363793*23130933997*11364458229549793) 3815 c8 2004 Fibonacci cofactor, ECPP 925 Phi(955,-100000) 3801 c8 2002 Unique, ECPP 926 -197676570*18851280661*Bern(1836)/(59789*3927024469727) 3734 c8 2003 Irregular, ECPP 927 12379*2^12379-1 3731 K 1984 Woodall 928 (2^12391+1)/3 3730 M 1996 Generalized Lucas number, Wagstaff 929 (2^12451-1)/(4980401*15289230353*1143390212315192593598809) 3708 c4 2008 Mersenne cofactor, ECPP 930 primU(32985) 3672 x23 2007 Fibonacci primitive part 931 E(1468)/(95*217158949445380764696306893*597712879321361736404369071) 3671 c4 2003 Euler irregular, ECPP 932 642*Bern(1802)/15720728189 3641 c8 2003 Irregular, ECPP 933 primA(42685) 3568 c46 2008 Lucas Aurifeuillian primitive part 934 U(17137)/328335144266897 3567 c8 2004 Fibonacci cofactor, ECPP 935 primU(18689) 3549 c8 2007 Fibonacci primitive part, ECPP 936 U(17011)/42109783293497 3542 c8 2004 Fibonacci cofactor 937 V(17029)/(9570299*495749440031) 3541 c8 2004 Lucas cofactor, ECPP 938 (2^11813-1)/(70879*207971134271377) 3537 c8 2002 Mersenne cofactor, ECPP 939 primU(41055) 3531 c8 2007 Fibonacci primitive part, ECPP 940 primA(45565) 3512 c4 2009 Lucas Aurifeuillian primitive part, ECPP 941 primU(34515) 3491 c8 2003 Fibonacci primitive part, ECPP 942 primU(20665) 3455 DK 1999 Fibonacci primitive part 943 primU(24699) 3441 p54 2001 Fibonacci primitive part 944 (2^11279+1)/3 3395 PM 1998 Cyclotomy, generalized Lucas number, Wagstaff 945 U(16369)/(299022540829*8523458822385578881) 3391 c8 2004 Fibonacci cofactor, ECPP 946 primU(17221) 3385 c8 2003 Fibonacci primitive part, ECPP 947 Phi(6135,10) 3265 c8 2001 Unique, ECPP 948 V(15511)/394599841 3234 c8 2004 Lucas cofactor, ECPP 949 primU(23211) 3233 DK 1999 Fibonacci primitive part 950 (2^10691+1)/3 3218 c4 2004 Generalized Lucas number, Wagstaff, ECPP 951 primA(41665) 3211 c8 2003 Lucas Aurifeuillian primitive part, ECPP 952 (2^10501+1)/3 3161 M 1996 Generalized Lucas number, Wagstaff 953 V(14887)/1256071867381 3100 c8 2004 Lucas cofactor 954 Phi(3341,-10) 3073 c8 2001 Unique, ECPP 955 2^10141+2^5071+1 3053 O 2000 Gaussian Mersenne norm 26 956 (2^10169-1)/10402314702094700470118039921523041260063 3022 c8 2002 Mersenne cofactor, ECPP 957 V(14449) 3020 DK 1995 Lucas number 958 U(14431) 3016 p54 2001 Fibonacci number 959 Phi(3011,-10) 3010 F2 2001 Unique, APR-CL assisted 960 (2^10007-1)/(14477908246561*136255313*10368448917257) 2979 c8 2002 Mersenne cofactor, ECPP 961 U(14177)/2199986861 2954 c8 2004 Fibonacci cofactor 962 primU(19415) 2943 c8 2003 Fibonacci primitive part, ECPP 963 V(13963) 2919 c11 2002 Lucas number, ECPP 964 primA(51945) 2894 c8 2003 Lucas Aurifeuillian primitive part, ECPP 965 (2^9697-1)/(724126946527*19092282046942032847) 2888 c8 2002 Mersenne cofactor, ECPP 966 (2^9733-1)/(2932747561*353435802999708808999*4424579967215442704801447) 2876 c4 2001 Mersenne cofactor, ECPP 967 9531*2^9531-1 2874 K 1984 Woodall 968 (2^9901-1)/(87770464009*4512717821471308759*8336998551279784091551*101\ 7688752041649660766793*25146117302614435382787771401*15024406890765276\ 20360606617623599) 2844 c2 2001 Mersenne cofactor, ECPP 969 6569#-1 2811 D 1992 Primorial 970 primB(49785) 2774 c8 2003 Lucas Aurifeuillian primitive part, ECPP 971 U(13063)/(4389169*10370895133369) 2710 c8 2004 Fibonacci cofactor 972 primA(52275) 2676 c8 2003 Lucas Aurifeuillian primitive part, ECPP 973 U(12743)/8869129 2656 c8 2004 Fibonacci cofactor 974 (2^8849-1)/(52368383*15264764469472455023) 2637 c4 2001 Mersenne cofactor, ECPP 975 primB(48375) 2634 F3 2001 Lucas Aurifeuillian primitive part, APR-CL assisted 976 V(12503)/4954888889 2604 c8 2004 Lucas cofactor 977 primB(31145) 2603 p54 2001 Lucas Aurifeuillian primitive part 978 Phi(3903,10) 2600 p44 2001 Unique 979 primB(34045) 2584 c8 2003 Lucas Aurifeuillian primitive part, ECPP 980 V(12457)/(1420099*81953391325049801) 2581 c8 2004 Lucas cofactor, ECPP 981 -E(1078)/361898544439043 2578 c4 2002 Euler irregular, ECPP 982 V(12251) 2561 p54 2001 Lucas number 983 primA(47235) 2538 c8 2003 Lucas Aurifeuillian primitive part, ECPP 984 primB(53625) 2508 c8 2003 Lucas Aurifeuillian primitive part, ECPP 985 974!-1 2490 CD 1992 Factorial 986 U(11807)/(231936709*1129990105451996281) 2441 c8 2004 Fibonacci cofactor, ECPP 987 E(1028)/(6415*56837916301577) 2433 c4 2002 Euler irregular, ECPP 988 V(11657)/69172639 2429 c8 2004 Lucas cofactor 989 primB(45105) 2407 c8 2003 Lucas Aurifeuillian primitive part, ECPP 990 E(1004)/(579851915*80533376783) 2364 c4 2002 Euler irregular, ECPP 991 V(11393)/(3076111*5299498382701) 2362 c8 2004 Lucas cofactor 992 953477584*5501#-1 2355 p133 2005 Cunningham chain (8p+7) 993 U(11393)/(38772745844002993*2788032223609253801) 2346 c8 2004 Fibonacci cofactor, ECPP 994 V(11261)/16823009787209 2341 c8 2004 Lucas cofactor 995 U(11279)/(34987457*70263726073) 2339 c8 2004 Fibonacci cofactor 996 7755*2^7755-1 2339 K 1984 Woodall 997 V(11213)/(224261*1476324252027331181) 2320 c8 2004 Lucas cofactor, ECPP 998 U(11093)/544296421641613 2304 c8 2004 Fibonacci cofactor 999 (2^7757-1)/233293220467553594643512097574361 2303 c2 2001 Mersenne cofactor, ECPP 1000 (2^7673-1)/2563193011919 2298 M1 1997 Mersenne cofactor, cyclotomy 1001 V(11173)/(25206289*28583254701767411959*24018475125955094159731) 2286 c8 2004 Lucas cofactor, ECPP 1002 -2090369190*Bern(1236)/(103*939551962476779*157517441360851951) 2276 c4 2002 Irregular, ECPP 1003 -36870*Bern(1228)/1043706675925609 2272 c4 2002 Irregular, ECPP 1004 V(10691) 2235 DK 1995 Lucas number 1005 (2^7331-1)/458072843161 2196 EM 1997 Mersenne cofactor, ECPP 1006 (2^7417-1)/(1930694161304071*3888241452787718190543521) 2193 c8 2002 Mersenne cofactor, ECPP 1007 872!+1 2188 D 1983 Factorial 1008 Phi(3261,-10) 2173 F2 2001 Unique, APR-CL assisted 1009e 69705381*5003#+1 2145 p252 2009 Arithmetic progression (6,d=6632285*5003#) 1010 Phi(2137,-10) 2136 c6 2000 Unique, ECPP 1011 V(10223)/61893855542632111 2120 c8 2004 Lucas cofactor, ECPP 1012 (2^7039-1)/(1324401538053479*8541573097*218216841131937276721) 2074 c2 2001 Mersenne cofactor, ECPP 1013 -E(902)/(9756496279*314344516832998594237) 2069 c4 2002 Euler irregular, ECPP 1014 4104082046*4799#+5659 2058 c18 2005 Quadruplet (4), ECPP 1015 4104082046*4799#+5657 2058 c18 2005 Quadruplet (3), ECPP 1016 4104082046*4799#+5653 2058 c18 2005 Quadruplet (2), ECPP 1017 4104082046*4799#+5651 2058 c18 2005 Quadruplet (1), ECPP 1018 V(9839)/491951 2051 c8 2004 Lucas cofactor 1019 (2^6883-1)/(1885943*2043031664890199) 2051 M1 1997 Mersenne cofactor, cyclotomy 1020 -E(886)/68689 2051 c4 2002 Euler irregular, ECPP 1021 4787#+1 2038 D 1984 Primorial 1022 U(9677) 2023 c2 2000 Fibonacci number, ECPP 1023 U(9931)/(3079452003211541*122039293401017981*604956242930486632441) 2022 c8 2004 Fibonacci cofactor 1024 U(9967)/(120801834061*3105570884441*1047583984031437*22727240300133999\ 677*15086016388211003643481) 2003 c8 2005 Fibonacci cofactor, ECPP 1025 6611*2^6611+1 1994 K 1984 Cullen 1026 4583#-1 1953 D 1992 Primorial 1027 U(9311) 1946 DK 1995 Fibonacci number 1028 4547#+1 1939 D 1984 Primorial 1029 V(9209)/(29745071*101409509*547683904686691*4025749704474499) 1879 c8 2004 Lucas cofactor 1030 4297#-1 1844 D 1992 Primorial 1031 V(8807)/356419291 1833 c8 2004 Lucas cofactor 1032 (2^6199-1)/(46113927071*3895469424045161025776010136475884556282201) 1813 c8 2005 Mersenne cofactor, ECPP 1033 2^5900+469721940591 1777 c45 2007 Consecutive primes arithmetic progression (4,d=2880), ECPP 1034 11628008104*4127#+1 1770 p133 2005 Cunningham chain 2nd kind (8p-7) 1035 V(8467) 1770 c2 2000 Lucas number, ECPP 1036 18672891658*4099#+1591789579 1763 c14 2003 ECPP, consecutive primes arithmetic progression (4,d=210) 1037 4093#-1 1750 CD 1992 Primorial 1038 5795*2^5795+1 1749 K 1984 Cullen 1039 (2^5807+1)/3 1748 PM 1998 Cyclotomy, generalized Lucas number, Wagstaff 1040 U(8537)/(900766408671673*558828605201*17191134589117*92295773098952073\ 61) 1725 c8 2004 Fibonacci cofactor 1041 1226756544*4001#+1 1712 p133 2004 Cunningham chain 2nd kind (8p-7) 1042 U(8353)/(176465477*2184683363573*3620673479519515599362549) 1701 c8 2004 Fibonacci cofactor 1043 V(8329)/(5533286033716829*62798306322672929543921*23984131456587054365\ 62211) 1678 c8 2006 Lucas cofactor, ECPP 1044 V(7741) 1618 DK 1995 Lucas number 1045 52069470*3739#+1 1606 p155 2006 Arithmetic progression (6,d=3884057*3739#) 1046 83*2^5318-1 1603 K 1984 Woodall 1047 V(7243)/289721 1509 c8 2004 Lucas cofactor 1048 45496757*3529#+1 1503 p42 2006 Arithmetic progression (6,d=3603821*3529#) 1049 11024895887*3499#+855739 1491 c18 2003 Quadruplet (4), ECPP 1050 11024895887*3499#+855737 1491 c18 2003 Quadruplet (3), ECPP 1051 11024895887*3499#+855733 1491 c18 2003 Quadruplet (2), ECPP 1052 11024895887*3499#+855731 1491 c18 2003 Quadruplet (1), ECPP 1053 4713*2^4713+1 1423 K 1984 Cullen 1054 -54570*Bern(848)/(428478023*5051145078213134269) 1418 c4 2002 Irregular, ECPP 1055 3229#+1 1368 D 1984 Primorial 1056 -E(638)/(7235862947323*11411779188663863*526900327479624797) 1343 c4 2002 Euler irregular, ECPP 1057 41812496896*3067#-1 1316 p133 2004 Cunningham chain (8p+7) 1058 1054831232256*3061#+1 1314 p44 2003 Cunningham chain 2nd kind (8p-7) 1059 191881920*3067#-1 1314 p133 2004 Cunningham chain (8p+7) 1060 23^963+1031392866 1312 c32 2005 Consecutive primes arithmetic progression (4,d=1500) 1061 138*Bern(814)/(28409964671*335055893*351085907*520460183*30348030379*1\ 7043083582983) 1311 c4 2002 Irregular, ECPP 1062 13657785480*3049#-1 1309 p94 2002 Cunningham chain (8p+7) 1063 V(6379)/(9823661*187797761*39735824399) 1308 c8 2004 Lucas cofactor 1064 2853609856*3041#+1 1304 p94 2002 Cunningham chain 2nd kind (8p-7) 1065 49157981*3041#+1 1303 p151 2008 Arithmetic progression (6,d=5151124*3041#) 1066 42261175*3041#+1 1303 p151 2008 Arithmetic progression (6,d=1552212*3041#) 1067 V(6661)/(20413264084399*254844997471*6472729219639*8036635984600095627\ 961*64250170013936618067104660874142964379889) 1292 c8 2005 Lucas cofactor, ECPP 1068 833000864*3011#+1 1290 p155 2006 Arithmetic progression (7,d=114858412*3011#) 1069 821752479*3011#+1 1290 p155 2006 Arithmetic progression (7,d=114379137*3011#) 1070 797311599*3011#+1 1290 p155 2006 Arithmetic progression (7,d=98881303*3011#) 1071 489855608*3011#+1 1290 p155 2006 Arithmetic progression (7,d=1679489*3011#) 1072 1730304995*3001#+1 1287 p73 2004 Arithmetic progression (7,d=230408192*3001#) 1073 10271674954*2999#+3469 1284 p26 2002 Quadruplet (4), ECPP 1074 10271674954*2999#+3467 1284 p26 2002 Quadruplet (3), ECPP 1075 10271674954*2999#+3463 1284 p26 2002 Quadruplet (2), ECPP 1076 10271674954*2999#+3461 1284 p26 2002 Quadruplet (1), ECPP 1077 4919761805*2999#+6763 1284 c23 2003 Consecutive primes arithmetic progression (4,d=30) 1078 546!-1 1260 D 1992 Factorial 1079 354*Bern(754)/(377*883462452530494157) 1225 c4 2002 Irregular, ECPP 1080 V(5851) 1223 DK 1995 Lucas number 1081 19743490208*2801#-1 1208 p133 2005 Cunningham chain (8p+7) 1082 -690*Bern(748)/(720511*138192830377045750339532383) 1201 c8 2002 Irregular, ECPP 1083 6*Bern(734)/(377231593*75401119*170508089) 1178 c4 2002 Irregular, ECPP 1084 2722420456827*2^3800+7 1157 c44 2007 Quadruplet (4) 1085 2722420456827*2^3800+5 1157 c44 2007 Quadruplet (3) 1086 2722420456827*2^3800+1 1157 L467 2007 Quadruplet (2) 1087 2722420456827*2^3800-1 1157 L467 2007 Quadruplet (1) 1088 477707955423*2^3802+7 1157 c44 2007 Quadruplet (4) 1089 477707955423*2^3802+5 1157 c44 2007 Quadruplet (3) 1090 477707955423*2^3802+1 1157 L467 2007 Quadruplet (2) 1091 477707955423*2^3802-1 1157 L467 2007 Quadruplet (1) 1092 U(5387) 1126 WM 1990 Fibonacci number 1093 2657#+1 1115 BC 1981 Primorial 1094 424232794973*2593#+43789 1107 c18 2009 Quintuplet (5) , ECPP 1095 424232794973*2593#+43787 1107 c18 2009 Quintuplet (4) , ECPP 1096 424232794973*2593#+43783 1107 c18 2009 Quintuplet (3) , ECPP 1097 424232794973*2593#+43781 1107 c18 2009 Quintuplet (2) , ECPP 1098 424232794973*2593#+43777 1107 c18 2009 Quintuplet (1) , ECPP 1099 -88230*Bern(688)/(465776197109*1913589601207) 1088 c4 2002 Irregular, ECPP 1100 6*Bern(674)/337 1077 c4 2002 Irregular, ECPP 1101 283534892623*2477#+1091273 1069 c18 2006 Quintuplet (5), ECPP 1102 283534892623*2477#+1091269 1069 c18 2006 Quintuplet (4), ECPP 1103 283534892623*2477#+1091267 1069 c18 2006 Quintuplet (3), ECPP 1104 283534892623*2477#+1091263 1069 c18 2006 Quintuplet (2), ECPP 1105 283534892623*2477#+1091261 1069 c18 2006 Quintuplet (1), ECPP 1106 (2^3539+1)/3 1065 M 1989 First titanic by ECPP, generalized Lucas number, Wagstaff 1107 -E(510) 1062 c4 2002 Euler irregular, ECPP 1108 -E(526)/(5062100689*71096484738291757946225730043997) 1060 c4 2002 Euler irregular, ECPP 1109 2968802755*2459#+1 1057 p155 2009 Arithmetic progression (8,d=359463429*2459#) 1110 2519951928*2459#+1 1057 p155 2009 Cunningham chain 2nd kind (8p-7) 1111 469!-1 1051 BC 1981 Factorial 1112 11^1008+998672782 1050 c32 2005 Consecutive primes arithmetic progression (4,d=1080) 1113 142661157626*2411#+71427877 1038 c14 2002 Consecutive primes arithmetic progression (5,d=30) 1114 6179783529*2411#+1 1037 p102 2003 Arithmetic progression (8,d=176836494*2411#) 1115 31969211688*2399#+16073 1034 c18 2002 Quintuplet (5), ECPP 1116 31969211688*2399#+16069 1034 c18 2002 Quintuplet (4), ECPP 1117 31969211688*2399#+16067 1034 c18 2002 Quintuplet (3), ECPP 1118 31969211688*2399#+16063 1034 c18 2002 Quintuplet (2), ECPP 1119 31969211688*2399#+16061 1034 c18 2002 Quintuplet (1), ECPP 1120 R(1031) 1031 WD 1985 Repunit 1121 2377#-1 1007 D 1992 Primorial 1122 V(4793) 1002 DK 1995 Lucas number 1123 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 c6 Larrosa, 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 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 g205 Underbakke, NewPGen, 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 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 Du, 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 L271 Klahn, NewPGen, PrimeGrid, TPS, LLR L282 Curtis, Srsieve, Rieselprime, LLR L315 Rhodes, NewPGen, PrimeGrid, TPS, LLR L321 Broadhurst, OpenPFGW, NewPGen, LLR L323 Minovic, Srsieve, NewPGen, Rieselprime, LLR L329 Schoenrogge, NewPGen, PrimeGrid, TPS, 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 L453 Straubinger, NewPGen, PrimeGrid, TPS, 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 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 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 p73 Fougeron, Rosenthal, 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 p151 Kubota, NewPGen, 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 p239 Koen, MultiSieve, 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 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