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 (Sat Nov 21 03:50:49 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 207a 105*2^1193072-1 359153 L384 2009 208 292550^65536+1 358233 GC2 2002 Generalized Fermat 209 291726^65536+1 358153 GC2 2002 Generalized Fermat 210 71009*2^1185112-1 356760 L47 2004 211b 78959*6^458114-1 356487 p256 2009 212d 21*2^1182083-1 355844 L323 2009 213e 55*2^1177924+1 354593 L669 2009 214 255694^65536+1 354401 g266 2002 Generalized Fermat 215 617*2^1175468-1 353854 L426 2007 216b 59*2^1170231+1 352277 L669 2009 217 21*2^1170083-1 352232 L503 2008 218 27*2^1164664+1 350601 g279 2005 219 27*2^1163629-1 350289 L503 2008 220 55*2^1162155-1 349846 L545 2008 221 69109*2^1157446+1 348431 SB4 2002 222 152713*2^1154707-1 347607 g23 2004 223 29*2^1152765+1 347019 g300 2005 Divides GF(1152760,10) 224 189590^65536+1 345887 g262 2002 Generalized Fermat 225b 1001155863*2^1146800+1 345231 p221 2009 226 350107*2^1144101-1 344415 L35 2004 227 31*2^1142093-1 343806 L503 2008 228 209826493*2^1140855-1 343440 L10 2004 229 500621*2^1138518-1 342734 L73 2004 230 504613*2^1136459-1 342114 L84 2004 231 33*2^1130884+1 340432 L165 2006 Divides GF(1130881,12) 232 64*3^712171+1 339794 x28 2006 233 63*2^1126551-1 339128 L323 2008 234 842711*2^1126138-1 339008 L251 2009 235 177*2^1121720+1 337674 L129 2006 236 141146^65536+1 337489 g281 2002 Generalized Fermat 237 165*2^1117217+1 336319 g196 2007 238 33*2^1115902-1 335922 L488 2008 239a 45*2^1111703+1 334658 L669 2009 240 27*2^1108214-1 333608 L590 2008 241 99*2^1106989-1 333239 L486 2007 242 11*2^1104606-1 332521 L10 2005 243 49*2^1103430+1 332168 L669 2009 Generalized Fermat 244 165*2^1100755+1 331363 g196 2007 245 289*2^1098117-1 330569 L6 2006 246 19433*2^1096861+1 330193 g411 2008 247 108368^65536+1 329968 g181 2001 Generalized Fermat 248 43*2^1087992+1 327520 g279 2006 249 45*2^1086062+1 326939 L669 2009 250 412717*2^1084409-1 326446 L76 2004 251 15*2^1084010-1 326321 L139 2006 252f 103*2^1077739-1 324434 L621 2009 253 150847*2^1076441-1 324047 L73 2004 254 55*2^1075711-1 323824 L545 2008 255 85*2^1072368+1 322817 g267 2006 256 209826493*2^1071303-1 322503 L10 2004 257f 63*2^1070449+1 322240 L669 2009 258 107*2^1070256-1 322182 L621 2008 259 2203*2^1069647-1 322000 L123 2006 260 53*2^1066381+1 321015 L669 2009 261 133*2^1065655-1 320797 L632 2008 262 257*2^1064062-1 320317 L632 2008 263 217*2^1059961-1 319083 L639 2008 264 41*2^1059562-1 318962 L282 2009 265 864316301*2^1055106-1 317628 L426 2007 266 9*2^1051026+1 316392 p156 2004 Generalized Fermat 267 12345*2^1047788-1 315420 L426 2009 268 11*2^1044086-1 314303 L10 2005 269f 105*2^1043063-1 313996 L384 2009 270 151515*2^1043018-1 313985 L426 2007 271 35*2^1040005+1 313075 g279 2006 272 121*2^1039965-1 313063 L65 2004 273 958*11^300544+1 312988 p217 2008 274 13*2^1038896+1 312740 g267 2004 275 85*2^1034069-1 311288 L323 2007 276 217*2^1026869-1 309121 L632 2008 277 91*2^1026521-1 309016 L323 2008 278 31838235*2^1025596+1 308743 p190 2006 279 21*2^1022168+1 307705 g279 2004 280 48594^65536+1 307140 g141 2000 Generalized Fermat 281 205*2^1019679-1 306957 L632 2008 282c 41*2^1018778-1 306685 L282 2009 283 65567*2^1013803+1 305190 SB2 2002 284 6119*2^1011416-1 304471 L251 2007 285a 109*2^1011102+1 304375 g423 2009 286 9*2^1010277-1 304125 L80 2007 287 165*2^1010133+1 304083 g196 2007 288 729*2^1003373-1 302049 L466 2008 289 603*2^1002662+1 301835 p219 2007 290 945*2^1001719+1 301551 p219 2007 291 103*2^1001214+1 301398 p219 2007 292 869*2^1000725+1 301252 p114 2005 293 8009271*2^1000005-1 301039 g396 2009 294 1611111*2^1000000+1 301037 p197 2007 295 1089927*2^1000000+1 301037 p197 2006 296 32883*2^1000004+1 301036 p86 2002 297 21*2^999599-1 300911 L56 2005 298 215*2^999170-1 300783 L323 2008 299 81*2^998065+1 300450 gt 2007 300b 335*2^997912-1 300404 L769 2009 301 243*2^997537+1 300291 L165 2008 302 1515*2^996848-1 300085 L200 2007 303 351351*2^996709-1 300045 L80 2006 304 2^991961-2^495981+1 298611 x28 2005 Gaussian Mersenne norm 36 305 11*2^960901+1 289262 g277 2005 Divides Fermat F(960897) 306 2*827^98511+1 287407 g404 2009 Divides Phi(827^98511,2) 307 143717*96^143717+1 284892 g157 2009 Generalized Cullen 308 113*2^916801+1 275987 L153 2009 Divides GF(916800,5), GF(916800,12) 309 3*2^916773+1 275977 g245 2001 Divides GF(916771,3), GF(916772,10) 310 43*2^894766+1 269354 g279 2006 Divides GF(894765,5) 311 11*2^886071+1 266735 g277 2005 Divides GF(886070,12) 312 2^859433-1 258716 SG 1994 Mersenne 33 313 Phi(3,1-3^267414)/3 255178 x28 2005 Generalized unique 314 35*2^831411+1 250282 g279 2006 Divides GF(831410,3) 315 229918*12^229918-1 248129 x37 2008 Generalized Woodall 316 5*2^819739+1 246767 g55 2001 Divides GF(819738,3) 317 7*2^811230+1 244206 g148 2002 Divides GF(811228,5) 318 9980*19^189621-1 242483 p237 2008 Generalized Woodall 319 7*2^804534+1 242190 g196 2003 Divides GF(804533,12) 320 3*2^801978+1 241420 g372 2005 Divides GF(801973,3), GF(801977,5) 321 60205*2^782665-1 235611 p243 2009 Generalized Woodall 322 67*2^773566+1 232869 p227 2008 Divides GF(773564,5) 323 35*2^768063+1 231212 L126 2005 Divides GF(768062,3) 324 2^756839-1 227832 SG 1992 Mersenne 32 325 Phi(5,(3668*16001#-1)*(378266*16001#/5+1)^7) 221071 x34 2008 Generalized unique 326 59*2^727815+1 219096 p227 2008 Divides GF(727814,12) 327 3*2^709968+1 213723 g372 2005 Divides GF(709962,3), GF(709963,5) 328 75*2^705688+1 212436 p227 2008 Divides GF(705684,12) 329 Phi(3,-2322573^16384) 208601 p72 2008 Generalized unique 330 Phi(3,-2313516^16384) 208545 p72 2008 Generalized unique 331 Phi(3,-2182528^16384) 207716 f7 2007 Generalized unique 332 Phi(3,-2178996^16384) 207692 f7 2007 Generalized unique 333 2*683^73237+1 207585 g404 2008 Divides Phi(683^73237,2) 334 Phi(3,-2115084^16384) 207269 f7 2007 Generalized unique 335 Phi(3,-2110199^16384) 207236 f7 2007 Generalized unique 336 Phi(3,-2074507^16384) 206993 f7 2007 Generalized unique 337 Phi(3,-2029827^16384) 206683 f7 2006 Generalized unique 338 Phi(3,-1989801^16384) 206400 f7 2006 Generalized unique 339 Phi(3,-3898771219232^8192) 206290 f14 2007 Generalized unique 340 Phi(3,-3824990769800^8192) 206154 f14 2007 Generalized unique 341 Phi(3,-3804263911368^8192) 206116 f14 2007 Generalized unique 342 Phi(3,-1949616^16384) 206110 f7 2006 Generalized unique 343 13*2^684560+1 206075 g267 2003 Divides GF(684557,10), GF(684559,6) 344 Phi(3,-3775889401250^8192) 206062 f14 2007 Generalized unique 345 Phi(3,-3757143544200^8192) 206027 f14 2007 Generalized unique 346 Phi(3,-1932045^16384) 205981 f7 2006 Generalized unique 347 Phi(3,-1925507^16384) 205932 f7 2006 Generalized unique 348 Phi(3,-1910944^16384) 205824 f7 2006 Generalized unique 349 27*2^672007+1 202296 g279 2005 Divides Fermat F(672005) 350 667071*2^667071-1 200815 g55 2000 Woodall 351 2*419^76419+1 200388 g404 2007 Divides Phi(419^76419,2) 352 101670*91^101670+1 199181 g157 2005 Generalized Cullen 353 87258*182^87258+1 197215 g392 2006 Generalized Cullen 354 98035*10^196070+1 196075 g157 2007 Generalized Cullen 355 133736*3^401209-1 191431 p120 2004 Generalized Woodall 356 162454*15^162454-1 191066 p242 2009 Generalized Woodall 357 2*191^83009+1 189347 g404 2006 Divides Phi(191^83009,2) 358 146478*19^146478-1 187315 p237 2008 Generalized Woodall 359 659*2^617815+1 185984 L732 2009 Divides Fermat F(617813) 360 2*131^86365+1 182859 g404 2007 Divides Phi(131^86365,2) 361 225*2^605172+1 182178 p43 2005 Generalized Fermat, divides GF(605169,3) 362 33*2^600270+1 180701 L126 2005 Divides GF(600269,5) 363 999999999*10^180230-1 180239 g208 2008 Near-repdigit 364c 10^180054+8*R(58567)*10^60744+1 180055 p235 2009 Tetradic palindrome 365 10^180004+248797842*10^89998+1 180005 D 2007 Palindrome 366 163*2^597474+1 179860 p43 2005 Divides GF(597473,3) 367 351*2^588325+1 177107 L651 2009 Divides GF(588323,6) 368c 36739*2^587827-1 176959 p77 2009 Generalized Woodall 369 195*2^585988+1 176403 p189 2007 Divides GF(585985,12) [K] 370 151*2^585044+1 176118 L446 2007 Divides Fermat F(585042) 371 10^175108+230767032*10^87550+1 175109 D 2007 Palindrome 372 45*2^574506+1 172946 g409 2007 Divides GF(574504,3) 373 1143*2^573894+1 172763 L717 2009 Divides GF(573892,3) 374 519*2^567235+1 170758 L656 2009 Divides Fermat F(567233) 375 10^170006+3880883*10^85000+1 170007 D 2006 Palindrome 376 392113#+1 169966 p16 2001 Primorial 377 13*2^562456+1 169318 g267 2003 Divides GF(562454,5) 378 7*2^561816+1 169125 g148 2003 Divides GF(561815,5); GF(561815,6) [p149] 379 243*2^555984+1 167371 L165 2007 Divides GF(555978,3) 380 347*2^544887+1 164030 L679 2009 Divides GF(544886,5) 381 37510*3^337592+1 161077 p126 2006 Generalized Cullen 382 2*1031^53111+1 160038 g404 2009 Divides Phi(1031^53111,2) 383 10^160016+8231328*10^80005+1 160017 D 2006 Palindrome 384 366439#+1 158936 p16 2001 Primorial 385 345*2^525977+1 158338 g258 2007 Divides GF(525974,6) 386 11*2^525589+1 158220 p116 2003 Divides GF(525588,6) 387 92278*50^92278+1 156783 g157 2008 Generalized Cullen 388 83660*72^83660-1 155390 g265 2003 Generalized Woodall 389 39*2^512997+1 154430 g267 2005 Divides GF(512994,5), GF(512995,6) 390 2*191^66971+1 152764 g404 2006 Divides Phi(191^66971,2) 391 56271*2^506439+1 152459 p243 2009 Generalized Cullen 392 2*431^56947+1 150026 g404 2007 Divides Phi(431^56947,2) 393 10^150008+4798974*10^75001+1 150009 D 2006 Palindrome 394 10^150006+7426247*10^75000+1 150007 p5 2005 Palindrome 395 2*1931^45605+1 149849 g404 2007 Divides Phi(1931^45605,2) 396 243*2^495732+1 149233 L165 2007 Divides Fermat F(495728), GF(495726,3), GF(495728,6), GF(495727,12) 397 81778*66^81778+1 148804 g157 2007 Generalized Cullen 398b 103444*3^310332-1 148072 p260 2009 Generalized Woodall 399b 9265*2^482072+1 145123 L635 2009 Divides GF(482070,10) 400 481899*2^481899+1 145072 gm 1998 Cullen 401d 1995*2^479842+1 144451 p240 2009 Divides GF(479838,5) 402 2*599^51983+1 144380 g404 2008 Divides Phi(599^51983,2) 403 72048*10^144096+1 144101 g157 2005 Generalized Cullen 404 651*2^476632+1 143484 L668 2008 Divides Fermat F(476624) 405 34790!-1 142891 p85 2002 Factorial 406b 6841*2^474348+1 142797 L1065 2009 Divides GF(474347,10) 407 89*2^472099+1 142118 p114 2004 Divides Fermat F(472097) 408 88195*40^88195+1 141299 x37 2009 Generalized Cullen 409 64872*145^64872+1 140218 g142 2005 Generalized Cullen 410 10^140008+4546454*10^70001+1 140009 D 2005 Palindrome 411 2*191^61303+1 139835 g404 2006 Divides Phi(191^61303,2) [g187] 412 99*10^139670-1 139672 p200 2006 Near-repdigit 413 292340*3^292340-1 139488 p120 2004 Generalized Woodall 414 91848*33^91848+1 139478 g157 2006 Generalized Cullen 415e 3911*2^462579+1 139254 L679 2009 Divides GF(462577,10) 416 9*2^461081+1 138801 g122 2003 Divides Fermat F(461076), GF(461077,3), GF(461077,6), GF(461077,12) 417f 1791*2^460696+1 138687 p240 2009 Divides GF(460693,12) 418f 3203*2^459521+1 138334 L687 2009 Divides GF(459520,6) 419 61813*172^61813+1 138190 g407 2007 Generalized Cullen 420 45*2^458712+1 138088 L170 2007 Divides GF(458709,5), GF(458710,6) [K] 421 1061839*2^456790-1769267*2^340000-1 137514 p97 2007 Arithmetic progression (3,d=1061839*2^456789-1769267*2^340000) 422 1061839*2^456789-1 137514 L81 2005 Arithmetic progression (2,d=1061839*2^456789-1769267*2^340000) 423f 4377*2^456708+1 137487 L872 2009 Divides GF(456707,10) 424 76710*61^76710+1 136958 g157 2006 Generalized Cullen 425 62378*141^62378+1 134069 g407 2007 Generalized Cullen 426 74460*59^74460+1 131863 g157 2006 Generalized Cullen 427 2*863^44857+1 131701 g404 2008 Divides Phi(863^44857,2) 428 9*2^435743+1 131173 g122 2003 Divides GF(435742,10) 429 58897*166^58897+1 130763 g407 2007 Generalized Cullen 430 9999992*10^130127-1 130134 p200 2008 Near-repdigit 431 10^130048+(9*10^37077-2)/11*10^46486+1 130049 p235 2008 Tetradic palindrome 432 10^130036+116010611*10^65014+1 130037 D 2004 Palindrome 433 10^130022+3761673*10^65008+1 130023 D 2004 Palindrome 434 2*683^45797+1 129809 g404 2008 Divides Phi(683^45797,2) 435 17*2^429319-197*2^202534-1 129240 p162 2005 Arithmetic progression (3,d=17*2^429318-197*2^202534) 436 17*2^429318-1 129239 g267 2003 Arithmetic progression (2,d=17*2^429318-197*2^202534) [p162] 437c 10^127590+10^42297*(9*10^42997-2)/11+1 127591 x40 2009 Tetradic palindrome 438 10^127576+1081101080188810801011801*10^63776+1 127577 p185 2006 Tetradic, palindrome 439 2*23^93337+1 127100 gb1 2006 Divides Phi(23^93337,2) 440 2*4523^34421+1 125824 gb1 2004 Divides Phi(4523^34421,2) 441 88900*26^88900+1 125797 g157 2005 Generalized Cullen 442 70615*60^70615+1 125569 g157 2008 Generalized Cullen 443 2*359^49071+1 125382 g404 2007 Divides Phi(359^49071,2) 444 2*251^51905+1 124556 gb2 2006 Divides Phi(251^51905,2) 445 61652*103^61652-1 124101 p120 2004 Generalized Woodall 446 1207*2^410108+1 123458 g380 2005 Divides Fermat F(410105) 447 2*4079^33873+1 122301 gb2 2007 Divides Phi(4079^33873,2) 448 15*2^403929+1 121596 p114 2002 Divides GF(403927,10) 449 36635*1960^36635-1 120617 p117 2003 Generalized Woodall 450 10^120016+1726271*10^60005+1 120017 D 2004 Palindrome 451 10^120002+1617161*10^59998+1 120003 D 2004 Palindrome 452 3*10^119292-1 119293 p135 2006 Near-repdigit 453 69*2^394574+1 118781 p219 2008 Divides GF(394572,12) 454 91850*19^91850-1 117459 p237 2008 Generalized Woodall 455 92711*18^92711-1 116383 p242 2009 Generalized Woodall 456 64227*2^385362-1 116011 p77 2003 Generalized Woodall 457 2*491^42801+1 115182 g404 2007 Divides Phi(491^42801,2) 458 3*2^382449+1 115130 g132 1999 Divides Fermat F(382447), GF(382447,3), GF(382447,12), GF(382443,6) 459 119*2^376951+1 113476 g233 2006 Divides GF(376950,12) 460 145359*6^145359-1 113117 p234 2008 Generalized Woodall 461 8511*2^374486-1 112736 p77 2003 Generalized Woodall 462 45*2^368554-405769059*2^180009-1 110948 p108 2003 Arithmetic progression (3,d=45*2^368553-405769059*2^180009) 463 45*2^368553-1 110948 L4 2003 Arithmetic progression (2,d=45*2^368553-405769059*2^180009) [p108] 464 2^364289-2^182145+1 109662 p58 2001 Gaussian Mersenne norm 35 465 3*2^362765+1 109204 g245 2002 Divides GF(362763,12), GF(362764,10) 466 2*8039^27953+1 109163 gb1 2004 Divides Phi(8039^27953,2) 467 75*2^361614+1 108859 p114 2004 Divides GF(361612,10) 468 361275*2^361275+1 108761 DS 1998 Cullen 469 995*10^107888-1 107891 p218 2007 Near-repdigit 470 26951!+1 107707 p65 2002 Factorial 471 17883*2^357662-1 107672 p103 2003 Generalized Woodall 472 9*10^107663-1 107664 p122 2004 Near-repdigit 473 65555*42^65555-1 106417 p239 2008 Generalized Woodall 474 10^105022+523111325*10^52507+1 105023 D 2008 Palindrome 475 10^105018+920383029*10^52505+1 105019 D 2008 Palindrome 476 10^105016+318939813*10^52504+1 105017 D 2008 Palindrome 477 10^105014+682787286*10^52503+1 105015 D 2008 Palindrome 478 10^105014+424787424*10^52503+1 105015 D 2008 Palindrome 479 10^104281-10^52140-1 104281 p16 2003 Near-repdigit, palindrome 480 163*2^343190+1 103313 g258 2005 Divides GF(343189,10) 481 1769267*2^340000-1 102357 L4 2003 Arithmetic progression (1,d=1061839*2^456789-1769267*2^340000) 482 485*2^338297+1 101841 L203 2007 Divides Fermat F(338295) [K] 483d 65516468355*2^333333+1 100355 L923 2009 Twin (p+2) 484d 65516468355*2^333333-1 100355 L923 2009 Twin (p) 485 28782838101*2^333333-1 100354 L453 2007 Arithmetic progression (3,d=3371818539*2^333335) [g282] 486 26273597661*2^333333-1 100354 L329 2007 Arithmetic progression (3,d=38478921*2^333341) [g282] 487 16422993885*2^333333-1 100354 L392 2007 Arithmetic progression (2,d=38478921*2^333341) [g282] 488 15295563945*2^333333-1 100354 L271 2007 Arithmetic progression (2,d=3371818539*2^333335) [g282] 489 14470366551*2^333333-1 100354 L315 2007 Arithmetic progression (1,d=168667635*2^333334) [g348] 490 6572390109*2^333333-1 100354 L255 2007 Arithmetic progression (1,d=38478921*2^333341) [g282] 491 1808289789*2^333333-1 100353 L212 2007 Arithmetic progression (1,d=3371818539*2^333335) [g282] 492 54528*69^54528-1 100274 p120 2004 Generalized Woodall 493 10^100000-10^61403-1 100000 p62 2001 Near-repdigit 494 10^95019-10^47509-1 95019 p16 2003 Near-repdigit, palindrome 495 99999*10^94039-1 94044 p199 2006 Near-repdigit 496 891*2^311033+1 93634 p114 2005 Divides GF(311032,10) 497 99999*10^92226-1 92231 p199 2006 Near-repdigit 498 9*2^304607+1 91697 g23 1998 Divides GF(304604,6) 499 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] 500 15*2^300488+1 90458 p114 2002 Divides GF(300479,6), GF(300484,10) 501 99995*10^87092-1 87097 p199 2006 Near-repdigit 502 211*2^287388+1 86515 p43 2004 Divides Fermat F(287384) 503 5*10^85142-1 85143 g243 2005 Near-repdigit 504 51*2^282719+1 85109 g196 2002 Divides Fermat F(282717) 505 21480!-1 83727 p65 2001 Factorial 506 41*2^274897+1 82754 g305 2004 Divides GF(274896,10) 507 63*2^270094+1 81309 gt 2002 Divides Fermat F(270091) 508 (10^40293-1)^2-2 80586 p48 2004 Near-repdigit 509 262419*2^262419+1 79002 DS 1998 Cullen 510 5*10^78790-1 78791 g243 2005 Near-repdigit 511a 648621027630345*2^253825-1 76424 x24 2009 Sophie Germain (2p+1) 512a 620366307356565*2^253825-1 76424 x24 2009 Sophie Germain (2p+1) 513a 648621027630345*2^253824-1 76424 x24 2009 Sophie Germain (p) 514a 620366307356565*2^253824-1 76424 x24 2009 Sophie Germain (p) 515 8*10^74318-1 74319 g243 2004 Near-repdigit 516 99995*10^73668-1 73673 p199 2006 Near-repdigit 517 10^72500-7*10^25509-1 72500 p48 2003 Near-repdigit 518 96*10^71600-1 71602 p194 2006 Near-repdigit 519 99998*10^69842-1 69847 p199 2006 Near-repdigit 520 2^216091-1 65050 S 1985 Mersenne 31 521 3*2^213321+1 64217 Y 1997 Divides Fermat F(213319); GF(213319,5), GF(213316,6), GF(213319,12) [g0] 522 145823#+1 63142 p21 2000 Primorial 523 2^203789+2^101895+1 61347 O 2000 Gaussian Mersenne norm 34 524 197*2^202534-1 60972 L40 2004 Arithmetic progression (1,d=17*2^429318-197*2^202534) [p162] 525 2003663613*2^195000+1 58711 L202 2007 Twin (p+2) 526 2003663613*2^195000-1 58711 L202 2007 Twin (p) 527c 607095*2^176312-1 53081 L983 2009 Sophie Germain (2p+1) 528c 607095*2^176311-1 53081 L983 2009 Sophie Germain (p) 529 48047305725*2^172404-1 51910 L99 2007 Sophie Germain (2p+1) 530 48047305725*2^172403-1 51910 L99 2007 Sophie Germain (p) 531 137211941292195*2^171961-1 51780 x24 2006 Sophie Germain (2p+1) 532 194772106074315*2^171960+1 51780 x24 2007 Twin (p+2) 533 194772106074315*2^171960-1 51780 x24 2007 Twin (p) 534 137211941292195*2^171960-1 51780 x24 2006 Sophie Germain (p) 535 100314512544015*2^171960+1 51780 x24 2006 Twin (p+2) 536 100314512544015*2^171960-1 51780 x24 2006 Twin (p) 537 16869987339975*2^171960+1 51779 x24 2005 Twin (p+2) 538 16869987339975*2^171960-1 51779 x24 2005 Twin (p) 539 33218925*2^169690+1 51090 g259 2002 Twin (p+2) 540 33218925*2^169690-1 51090 g259 2002 Twin (p) 541 2^160423-2^80212+1 48293 O 2000 Gaussian Mersenne norm 33 542 primV(40395,-1,15588) 47759 x23 2007 Generalized Lucas primitive part 543 primV(53394,-1,15264) 47200 CH4 2007 Generalized Lucas primitive part 544 151023*2^151023-1 45468 g25 1998 Woodall 545 71509*2^143019-1 43058 g23 1998 Woodall, arithmetic progression (2,d=(143018*2^83969-80047)*2^59049) [x12] 546 2^132049-1 39751 S 1983 Mersenne 30 547f 33759183*2^123459-1 37173 L527 2009 Sophie Germain (2p+1) 548f 33759183*2^123458-1 37173 L527 2009 Sophie Germain (p) 549 (28839^8317-1)/28838 37090 CH6 2006 Generalized repunit 550 7068555*2^121302-1 36523 L100 2005 Sophie Germain (2p+1) 551 7068555*2^121301-1 36523 L100 2005 Sophie Germain (p) 552 307259241*2^115599+1 34808 g336 2009 Twin (p+2) 553 307259241*2^115599-1 34808 g336 2009 Twin (p) 554 primV(38513,-1,11502) 34668 x23 2006 Generalized Lucas primitive part 555 2540041185*2^114730-1 34547 g294 2003 Sophie Germain (2p+1) 556 2540041185*2^114729-1 34547 g294 2003 Sophie Germain (p) 557 60194061*2^114689+1 34533 g294 2002 Twin (p+2) 558 60194061*2^114689-1 34533 g294 2002 Twin (p) 559 primV(9008,1,16200) 34168 x23 2005 Generalized Lucas primitive part 560 2^110503-1 33265 WC 1988 Mersenne 29 561 108615*2^110342+1 33222 L113 2008 Twin (p+2) 562 108615*2^110342-1 33222 L113 2008 Twin (p) 563 1124044292325*2^108000-1 32524 L99 2006 Sophie Germain (2p+1) 564 1124044292325*2^107999-1 32523 L99 2006 Sophie Germain (p) 565 112886032245*2^108001-1 32523 L99 2006 Sophie Germain (2p+1) 566 112886032245*2^108000-1 32523 L99 2006 Sophie Germain (p) 567 1765199373*2^107520+1 32376 g182 2002 Twin (p+2) 568 1765199373*2^107520-1 32376 g182 2002 Twin (p) 569 318032361*2^107001+1 32220 p100 2001 Twin (p+2) 570 318032361*2^107001-1 32220 p100 2001 Twin (p) 571 2^106693+2^53347+1 32118 O 2000 Gaussian Mersenne norm 32 572a 532323*2^104390+1 31431 L983 2009 Cunningham chain 2nd kind (2p-1) 573a 532323*2^104389+1 31430 L983 2009 Cunningham chain 2nd kind (p) 574 primV(10987,1,14400) 31034 x25 2005 Generalized Lucas primitive part 575 156733989*2^100007+1 30114 L95 2008 Twin (p+2) 576 156733989*2^100007-1 30114 L95 2008 Twin (p) 577 1046619117*2^100000+1 30113 L467 2007 Twin (p+2) 578 1046619117*2^100000-1 30113 L467 2007 Twin (p) 579 49363*2^98727-1 29725 Y 1997 Woodall 580 U(2341,-1,8819) 29712 x25 2008 Generalized Lucas number 581 18912879*2^98396-1 29628 p94 2002 Sophie Germain (2p+1) 582 18912879*2^98395-1 29628 p94 2002 Sophie Germain (p) 583 1807318575*2^98305+1 29603 g216 2001 Twin (p+2) 584 1807318575*2^98305-1 29603 g216 2001 Twin (p) 585 primV(24127,-1,6718) 29433 CH3 2005 Generalized Lucas primitive part 586d 744678855*2^95000+1 28607 L922 2009 Twin (p+2) 587d 744678855*2^95000-1 28607 L922 2009 Twin (p) 588 primV(205011) 28552 x39 2009 Lucas primitive part 589 U(16531,1,6721)-U(16531,1,6720) 28347 x36 2007 Lehmer number 590d 581627055*2^93182+1 28060 p35 2009 Cunningham chain 2nd kind (2p-1) 591d 581627055*2^93181+1 28060 p35 2009 Cunningham chain 2nd kind (p) 592 90825*2^90825+1 27347 Y 1997 Cullen 593 primV(5673,1,13500) 27028 CH3 2005 Generalized Lucas primitive part 594 3364553235*2^88889-1 26768 L652 2009 Sophie Germain (2p+1) 595 3364553235*2^88888-1 26768 L652 2009 Sophie Germain (p) 596 primV(44368,1,9504) 26768 CH3 2005 Generalized Lucas primitive part 597e (3429^7549-1)/3428 26684 c13 2009 Generalized repunit 598 primV(10986,-1,9756) 26185 x23 2005 Generalized Lucas primitive part 599 2^86243-1 25962 S 1982 Mersenne 28 600 primV(11076,-1,12000) 25885 x25 2005 Generalized Lucas primitive part 601 2^85237+2^42619+1 25659 x16 2000 Gaussian Mersenne norm 31 602 primV(42,-1,23376) 25249 x23 2007 Generalized Lucas primitive part 603 primV(7577,-1,10692) 25140 x33 2007 Generalized Lucas primitive part 604 primV(44573,-1,10125) 25105 CH4 2007 Generalized Lucas primitive part 605a 1035928263*2^83200+1 25055 p252 2009 Twin (p+2) 606a 1035928263*2^83200-1 25055 p252 2009 Twin (p) 607 10495740081*2^83126-1 25034 L99 2006 Sophie Germain (2p+1) 608 10495740081*2^83125-1 25034 L99 2006 Sophie Germain (p) 609 7473214125*2^83125+1 25033 L99 2006 Twin (p+2) 610 7473214125*2^83125-1 25033 L99 2006 Twin (p) 611 11694962547*2^83124+1 25033 L99 2006 Twin (p+2) 612 11694962547*2^83124-1 25033 L99 2006 Twin (p) 613 58950603*2^83130+1 25033 L99 2006 Twin (p+2) 614 58950603*2^83130-1 25033 L99 2006 Twin (p) 615 1030739199*2^82019+1 24700 g258 2009 Twin (p+2) 616 1030739199*2^82019-1 24700 g258 2009 Twin (p) 617 61078155*2^82003-1 24694 L99 2006 Sophie Germain (2p+1) 618 61078155*2^82002-1 24693 L99 2006 Sophie Germain (p) 619 primV(19285,1,10800) 24683 x25 2005 Generalized Lucas primitive part 620 (13096^5953-1)/13095 24506 CH6 2007 Generalized repunit 621 1213822389*2^81132-1 24433 g250 2002 Sophie Germain (2p+1) 622 1213822389*2^81131-1 24432 g250 2002 Sophie Germain (p) 623 primV(2425,1,13500) 24370 x23 2006 Generalized Lucas primitive part 624 3853775193*2^80001+1 24093 L109 2007 Cunningham chain 2nd kind (2p-1) 625 3853775193*2^80000+1 24092 L109 2007 Cunningham chain 2nd kind (p) 626 primV(14261,1,10800) 23928 x23 2005 Generalized Lucas primitive part 627 primV(13964,1,8856) 23876 CH3 2005 Generalized Lucas primitive part 628 primV(3464,1,6722) 23786 x23 2006 Generalized Lucas primitive part 629 1504084599*2^78342+1 23593 g290 2004 Cunningham chain 2nd kind (2p-1) 630 964487139*2^78342+1 23593 g290 2004 Cunningham chain 2nd kind (2p-1) 631 1504084599*2^78341+1 23593 g290 2004 Cunningham chain 2nd kind (p) 632 964487139*2^78341+1 23592 g290 2004 Cunningham chain 2nd kind (p) 633 6917!-1 23560 g1 1998 Factorial 634 (89^11971-1)/88 23335 CH2 2009 Generalized repunit 635 (23151^5347-1)/23150 23333 c13 2008 Generalized repunit 636 2^77291+2^38646+1 23267 O 2000 Gaussian Mersenne norm 30 637 primV(3711,1,9882) 23131 x25 2005 Generalized Lucas primitive part 638 (5855^6121-1)/5854 23058 CH1 2005 Generalized repunit 639 primV(20384,1,5281) 22754 x25 2003 Generalized Lucas primitive part, cyclotomy 640 64670473*2^74147+3 22329 g422 2009 Sophie Germain (2p+1) 641 64670473*2^74146+1 22328 L446 2009 Sophie Germain (p) 642c 232197*2^73458-1 22119 L983 2009 Sophie Germain (2p+1) 643c 232197*2^73457-1 22119 L983 2009 Sophie Germain (p) 644 U(19258,-1,5039) 21586 x23 2007 Generalized Lucas number 645c 398901*2^71470-1 21521 L983 2009 Sophie Germain (2p+1) 646c 398901*2^71469-1 21520 L983 2009 Sophie Germain (p) 647 6380!+1 21507 g1 1998 Factorial 648 U(15631,1,5040)-U(15631,1,5039) 21134 x25 2003 Lehmer number 649 2566851867*2^70002-1 21083 L109 2007 Sophie Germain (2p+1) 650 2566851867*2^70001-1 21082 L109 2007 Sophie Germain (p) 651 ((((((2521008887^3+80)^3+12)^3+450)^3+894)^3+3636)^3+70756)^3+97220 20562 FE1 2006 ECPP, Mills' prime 652 U(11200,-1,5039) 20400 x25 2004 Generalized Lucas number, cyclotomy 653 1040131975*2^66459+3 20016 g258 2007 Sophie Germain (2p+1) 654 1040131975*2^66458+1 20015 g258 2007 Sophie Germain (p) 655 (9473^4969-1)/9472 19756 CH2 2008 Generalized repunit 656 (14261^4663-1)/14260 19367 c13 2007 Generalized repunit 657 U(6584,-1,5039) 19238 x23 2007 Generalized Lucas number 658 (13782^4591-1)/13781 19000 c13 2007 Generalized repunit 659 (15637^4513-1)/15636 18925 c13 2007 Generalized repunit 660 42209#+1 18241 p8 1999 Primorial 661 7457*2^59659+1 17964 Y 1997 Cullen 662 (18067^4201-1)/18066 17879 c13 2002 Generalized repunit 663 (19026^4051-1)/19025 17332 c13 2008 Generalized repunit 664 U(9657,1,4321)-U(9657,1,4320) 17215 x23 2005 Lehmer number 665 U(81839) 17103 p54 2001 Fibonacci number 666 (4735^4621-1)/4734 16980 CH3 2005 Generalized repunit 667 (11031^4177-1)/11030 16882 p54 2005 Generalized repunit 668 U(15823,1,3960)-U(15823,1,3959) 16625 x25 2002 Lehmer number, cyclotomy 669 U(10803,1,4081)-U(10803,1,4080) 16457 x25 2005 Lehmer number, cyclotomy 670 U(11091,-1,4049) 16375 CH3 2005 Generalized Lucas number 671 U(2554,-1,4751) 16185 CH3 2005 Generalized Lucas number 672 U(1599,-1,5039) 16141 x23 2007 Generalized Lucas number 673 U(10853,1,3960)+U(10853,1,3959) 15977 x25 2002 Lehmer number, cyclotomy 674 U(9667,1,3960)-U(9667,1,3959) 15778 x25 2002 Lehmer number, cyclotomy 675 U(14257,-1,3779) 15694 x25 2004 Generalized Lucas number, cyclotomy 676 (U(9275,1,3961)+U(9275,1,3960))/(U(9275,1,45)+U(9275,1,44)) 15537 x38 2009 Lehmer primitive part 677 (15134^3697-1)/15133 15450 CH6 2007 Generalized repunit 678 (16339^3613-1)/16338 15219 c13 2008 Generalized repunit 679 2638^4405+4405^2638 15071 FE3 2004 ECPP 680 (4018^4177-1)/4017 15051 c13 2008 Generalized repunit 681 (7372^3889-1)/7371 15038 CH6 2007 Generalized repunit 682 U(8747,1,3780)+U(8747,1,3779) 14897 x25 2005 Lehmer number 683 (2147483647^1597-1)/1361551397315358942 14885 FE7 2009 ECPP 684 U(25700,1,3360)+U(25700,1,3359) 14813 x25 2004 Lehmer number, cyclotomy 685 2^49207-2^24604+1 14813 x16 2000 Gaussian Mersenne norm 29 686 (15679^3499-1)/15678 14676 x25 2003 Generalized repunit 687 U(1493,-1,4621) 14665 CH3 2005 Generalized Lucas number 688 U(4951,1,3960)-U(4951,1,3959) 14628 CH3 2005 Lehmer number 689 (2728^4231-1)/2727 14534 c13 2007 Generalized repunit 690 U(12924,-12925,3499) 14382 x25 2005 Generalized Lucas number 691 U(12113,-1,3499) 14284 CH3 2005 Generalized Lucas number 692 U(5192,1,3841)-U(5192,1,3840) 14267 x23 2005 Lehmer number 693 U(2441,-1,4201) 14228 CH3 2005 Generalized Lucas number 694 U(3865,1,3960)+U(3865,1,3959) 14202 x25 2002 Lehmer number, cyclotomy 695 U(3645,1,3841)-U(3645,1,3840) 13677 x25 2005 Lehmer number 696 U(11194,-11195,3361) 13605 x25 2004 Generalized Lucas number 697 U(2219,-1,4049) 13546 CH3 2005 Generalized Lucas number 698 U(475,-1,5039) 13486 x25 2003 Generalized Lucas number, cyclotomy 699 U(7644,1,3421)-U(7644,1,3420) 13281 CH3 2005 Lehmer number 700 U(10206,1,3276)-U(10206,1,3275) 13130 x23 2005 Lehmer number 701 U(7537,-7538,3361) 13028 x23 2007 Generalized Lucas number 702 U(7512,-7513,3361) 13023 x25 2004 Generalized Lucas number 703 U(2783,-1,3779) 13014 CH3 2005 Generalized Lucas number 704 U(7128,-1,3361) 12946 x25 2004 Generalized Lucas number, cyclotomy 705 (2^42737+1)/3 12865 M 2007 ECPP, generalized Lucas number, Wagstaff 706 U(12159,1,3150)-U(12159,1,3149) 12864 x25 2005 Lehmer number, cyclotomy 707 U(5485,1,3421)+U(5485,1,3420) 12788 CH3 2005 Lehmer number 708 (V(49596,1,3375)+1)/(V(49596,1,675)+1) 12678 x25 2006 Lehmer primitive part 709 (V(47025,1,3375)-1)/(V(47025,1,675)-1) 12616 x25 2006 Lehmer primitive part 710 (V(44524,1,3375)-1)/(V(44524,1,675)-1) 12552 x23 2006 Lehmer primitive part 711 U(6393,1,3276)-U(6393,1,3275) 12464 x25 2005 Lehmer number, cyclotomy 712 (V(37511,1,3375)-1)/(V(37511,1,675)-1) 12351 x25 2006 Lehmer primitive part 713 (V(32362,1,3375)+1)/(V(32362,1,675)+1) 12178 x23 2006 Lehmer primitive part 714 U(4857,1,3300)-U(4857,1,3299) 12162 x25 2005 Lehmer number, cyclotomy 715 (V(30226,1,3375)-1)/(V(30226,1,675)-1) 12098 x25 2006 Lehmer primitive part 716 primV(57724) 12063 p54 2001 Lucas primitive part, cyclotomy 717 U(5989,1,3169)-U(5989,1,3168) 11967 x25 2005 Lehmer number 718 111871891*27751#+1 11961 p155 2008 Arithmetic progression (4,d=3624707*27751#) 719 103098395*27751#+1 11961 p155 2007 Arithmetic progression (4,d=809963*27751#) 720 102293041*27751#+1 11961 p155 2007 Arithmetic progression (4,d=412064*27751#) 721 V(56003) 11704 p193 2006 Lucas number 722 primU(67825) 11336 x23 2007 Fibonacci primitive part 723 3610!-1 11277 C 1993 Factorial 724 (V(11258,1,3375)+1)/(V(11258,1,675)+1) 10939 x23 2006 Lehmer primitive part 725 3507!-1 10912 C 1992 Factorial 726 (V(10638,1,3375)-1)/(V(10638,1,675)-1) 10873 x25 2006 Lehmer primitive part 727 (V(983,1,3609)-1)/(V(983,1,9)-1) 10774 x23 2006 Lehmer primitive part 728 primV(77058) 10729 CH3 2005 Lucas primitive part 729 (V(9352,1,3375)+1)/(V(9352,1,675)+1) 10722 x25 2005 Lehmer primitive part 730 V(51169) 10694 p54 2001 Lucas number 731 U(50833) 10624 CH4 2005 Fibonacci number 732 46915147*2^35000+1 10544 p43 2007 Arithmetic progression (4,d=9548007*2^35000) 733 (V(7792,1,3375)-1)/(V(7792,1,675)-1) 10508 x25 2006 Lehmer primitive part 734 primV(77841) 10496 x25 2005 Lucas primitive part 735 (V(812,1,3609)+1)/(V(812,1,9)+1) 10475 x25 2006 Lehmer primitive part 736 24029#+1 10387 C 1993 Primorial 737 6*Bern(4306)/2153 10342 FE8 2009 Irregular, ECPP 738 23801#+1 10273 C 1993 Primorial 739 59056921173*2^34030+7 10255 FE6 2009 ECPP 740 (U(11987,1,2521)-U(11987,1,2520))/(U(11987,1,36)-U(11987,1,35)) 10136 x38 2009 Lehmer primitive part 741 1234^3265+3265^1234 10094 FE1 2005 ECPP 742 Phi(427,-10^28) 10081 FE9 2009 Unique, ECPP 743 2739^2930+2930^2739 10073 FE1 2005 ECPP 744 2072644824759*2^33333+5 10047 FE5 2008 Triplet (3), ECPP 745 2072644824759*2^33333+1 10047 L645 2008 Triplet (2) 746 2072644824759*2^33333-1 10047 L645 2008 Triplet (1) 747 409331735*2^33333+1 10043 p155 2007 Arithmetic progression (4,d=104086947*2^33333) 748 648^3571+3571^648 10041 M 2003 ECPP 749 10^9999+33603 10000 FE2 2003 ECPP 750 (U(10227,1,2521)+U(10227,1,2520))/(U(10227,1,36)+U(10227,1,35)) 9965 x38 2009 Lehmer primitive part 751 (V(8259,1,2517)-1)/(V(8259,1,3)-1) 9848 x25 2005 Lehmer primitive part 752 32469*2^32469+1 9779 MM 1997 Cullen 753 8073*2^32294+1 9726 MM 1997 Cullen 754 (U(6954,1,2521)-U(6954,1,2520))/(U(6954,1,36)-U(6954,1,35)) 9548 x38 2009 Lehmer primitive part 755 V(44507) 9302 CH3 2005 Lucas number 756 2658^2659+2659^2658 9106 FE1 2005 ECPP 757 13^8148+2716^2197 9077 M 2005 ECPP 758 (V(2247,1,3375)-1)/(V(2247,1,675)-1) 9050 x25 2006 Lehmer primitive part 759 (V(3798,1,2529)-1)/(V(3798,1,9)-1) 9021 x25 2006 Lehmer primitive part 760 2319^2680+2680^2319 9020 M 2004 ECPP 761 (V(8162,1,2307)-1)/(V(8162,1,3)-1) 9013 x25 2005 Lehmer primitive part 762e 2^29727+20273 8949 c18 2009 ECPP 763 2^27529-2^13765+1 8288 O 2000 Gaussian Mersenne norm 28 764 primV(39124) 8176 CH3 2005 Lucas primitive part 765a 379185609*2^27129-1 8176 L983 2009 Cunningham chain (4p+3) 766a 379185609*2^27128-1 8175 L983 2009 Cunningham chain (2p+1) 767a 379185609*2^27127-1 8175 L983 2009 Cunningham chain (p) 768e Phi(1887,-11758041)/(7549*19070968058734261) 8125 c13 2009 ECPP 769 1647^2518+2518^1647 8100 FE1 2005 ECPP 770 197^3514+3514^197 8063 M 2004 ECPP 771 1995^2438+2438^1995 8046 FE1 2003 ECPP 772 18523#+1 8002 D 1989 Primorial 773 164210699973*2^26328-1 7937 p158 2006 Cunningham chain (4p+3) 774 164210699973*2^26327-1 7937 p158 2006 Cunningham chain (2p+1) 775 164210699973*2^26326-1 7937 p158 2006 Cunningham chain (p) 776 U(37511) 7839 x13 2005 Fibonacci number 777 -E(2762)/2670541 7760 c11 2004 Euler irregular, ECPP 778 V(36779) 7687 CH3 2005 Lucas number 779 197418203*2^25000+6089 7535 FE4 2005 ECPP, consecutive primes arithmetic progression (3,d=6090) 780 197418203*2^25000-1 7535 p164 2005 Consecutive primes arithmetic progression (2,d=6090) 781 197418203*2^25000-6091 7535 FE4 2005 ECPP, consecutive primes arithmetic progression (1,d=6090) 782 U(35999) 7523 p54 2001 Fibonacci number, cyclotomy 783d Phi(4029,-1000) 7488 c47 2009 Unique, ECPP 784 V(35449) 7409 p12 2001 Lucas number 785 87*2^24582+2579 7402 c31 2004 ECPP, consecutive primes arithmetic progression (3,d=1290) 786 87*2^24582+1289 7402 c31 2004 ECPP, consecutive primes arithmetic progression (2,d=1290) 787 87*2^24582-1 7402 g106 1999 Consecutive primes arithmetic progression (1,d=1290) [c31] 788 V(34759)/27112021 7257 c33 2005 Lucas cofactor, ECPP 789 Phi(9455,-10) 7200 c33 2005 Unique, ECPP 790b Phi(1479,-100000000) 7168 c47 2009 Unique, ECPP 791 164084347*16229#+1 7009 p155 2009 Arithmetic progression (5,d=20333209*16229#) 792 primA(82975) 6935 p54 2001 Lucas Aurifeuillian primitive part 793 23005*2^23005-1 6930 Y 1997 Woodall 794 22971*2^22971-1 6920 Y 1997 Woodall 795 2852851249*16001#/5+1 6913 p199 2008 Arithmetic progression (5,d=2653152*16001#) 796 2399771561*16001#/5+1 6913 p199 2008 Arithmetic progression (5,d=86574302*16001#) 797 1638535589*16001#/5+1 6913 p199 2008 Arithmetic progression (5,d=2003735*16001#) 798 Phi(2405,-10000) 6912 c47 2009 Unique,ECPP 799 15877#-1 6845 CD 1992 Primorial 800 Phi(10887,10) 6841 c33 2005 Unique, ECPP 801 primV(48381) 6741 x23 2005 Lucas primitive part 802 primU(40295) 6737 p12 2001 Fibonacci primitive part 803 primV(39700) 6621 p54 2001 Lucas primitive part 804 U(30757) 6428 p54 2001 Fibonacci number, cyclotomy 805 U(30671)/1141737296775689 6395 c41 2005 Fibonacci cofactor, ECPP 806 Phi(7357,-10) 6301 c33 2004 Unique, ECPP 807 Phi(6437,10) 6240 c47 2008 Unique, ECPP 808c (2^20887-1)/(694257144641*3156563122511*28533972487913*189380444251383\ 6092687) 6229 c4 2009 Mersenne cofactor, ECPP 809 5612052289*14489#/5+5 6223 c18 2008 Triplet (3), ECPP 810 5612052289*14489#/5+1 6223 p41 2008 Triplet (2) 811 5612052289*14489#/5-1 6223 p41 2008 Triplet (1) 812 4811*2^20219+1 6091 DM 1996 Consecutive primes arithmetic progression (3,d=3738) [c36] 813 4811*2^20219-3737 6091 c36 2004 ECPP, consecutive primes arithmetic progression (2,d=3738) 814 4811*2^20219-7475 6091 c36 2004 ECPP, consecutive primes arithmetic progression (1,d=3738) 815a primV(29657) 6057 c11 2009 Lucas primitive part, ECPP 816 3020255265*2^20025-1 6038 p133 2005 Cunningham chain (4p+3) 817 3020255265*2^20024-1 6038 p133 2005 Cunningham chain (2p+1) 818 3020255265*2^20023-1 6038 p133 2005 Cunningham chain (p) 819 primV(28844) 6028 p12 2001 Lucas primitive part 820 13649#+1 5862 D 1987 Primorial 821 18885*2^18885-1 5690 K 1987 Woodall 822 1963!-1 5614 CD 1992 Factorial 823 13033#-1 5610 CD 1992 Primorial 824c p(25235715) 5588 c46 2009 Partitions, ECPP 825 p(25102542) 5574 c39 2009 Partitions, ECPP 826 289*2^18502+1 5573 K 1984 Cullen, generalized Fermat 827 p(24512858) 5508 c42 2007 Partitions, ECPP 828 p(24503300) 5507 c42 2007 Partitions, ECPP 829b 387977793*2^17866+1 5387 L983 2009 Cunningham chain 2nd kind (4p-3) 830 U(25561) 5342 p54 2001 Fibonacci number 831 p(23028252) 5338 c42 2008 Partitions, ECPP 832 p(23010067) 5336 c42 2007 Partitions, ECPP 833 primV(25504) 5324 F3 2001 Lucas primitive part, APR-CL assisted 834d p(22857207) 5318 c46 2009 Partitions, ECPP 835b p(22810361) 5313 c46 2009 Partitions, ECPP 836c (2^17683-1)/(234000819833373807217*62265855698776681155719328257) 5274 c4 2009 Mersenne cofactor, ECPP 837 p(22312025) 5254 c39 2007 Partitions, ECPP 838 2366867925*2^17208+1 5190 p133 2004 Cunningham chain 2nd kind (4p-3) 839 (99241437759*205881*4001#*(205881*4001#+1)+210)*(205881*4001#-1)/35+7 5132 p179 2006 Triplet (3) 840 (99241437759*205881*4001#*(205881*4001#+1)+210)*(205881*4001#-1)/35+5 5132 p179 2006 Triplet (2) 841 (99241437759*205881*4001#*(205881*4001#+1)+210)*(205881*4001#-1)/35+1 5132 p179 2006 Triplet (1) 842 (91456744909*205881*4001#*(205881*4001#+1)+210)*(205881*4001#-1)/35+11 5132 p179 2006 Triplet (3) 843 (91456744909*205881*4001#*(205881*4001#+1)+210)*(205881*4001#-1)/35+7 5132 p179 2006 Triplet (2) 844 (91456744909*205881*4001#*(205881*4001#+1)+210)*(205881*4001#-1)/35+5 5132 p179 2006 Triplet (1) 845 (84055657369*205881*4001#*(205881*4001#+1)+210)*(205881*4001#-1)/35+13 5132 p179 2006 Consecutive primes arithmetic progression (3,d=6) 846 (84055657369*205881*4001#*(205881*4001#+1)+210)*(205881*4001#-1)/35+7 5132 p179 2006 Consecutive primes arithmetic progression (2,d=6) 847 (84055657369*205881*4001#*(205881*4001#+1)+210)*(205881*4001#-1)/35+1 5132 p179 2006 Consecutive primes arithmetic progression (1,d=6) 848 (63140956174*205881*4001#*(205881*4001#+1)+210)*(205881*4001#-1)/35+7 5132 p179 2005 Triplet (3) 849 (63140956174*205881*4001#*(205881*4001#+1)+210)*(205881*4001#-1)/35+5 5132 p179 2005 Triplet (2) 850 (63140956174*205881*4001#*(205881*4001#+1)+210)*(205881*4001#-1)/35+1 5132 p179 2005 Triplet (1) 851 (61310346529*205881*4001#*(205881*4001#+1)+210)*(205881*4001#-1)/35+13 5132 p179 2005 Consecutive primes arithmetic progression (3,d=6) 852 (61310346529*205881*4001#*(205881*4001#+1)+210)*(205881*4001#-1)/35+7 5132 p179 2005 Consecutive primes arithmetic progression (2,d=6) 853 (61310346529*205881*4001#*(205881*4001#+1)+210)*(205881*4001#-1)/35+1 5132 p179 2005 Consecutive primes arithmetic progression (1,d=6) 854 (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)) 855 (2^17029-1)/418879343 5118 c8 2006 Mersenne cofactor, ECPP 856 33957462*Bern(2370)/40685 5083 c11 2003 Irregular, ECPP 857 primV(24998) 5033 c48 2008 Lucas primitive part, ECPP 858 16219299585*2^16614-1 5012 p158 2005 Cunningham chain (4p+3) 859 16219299585*2^16613-1 5012 p158 2005 Cunningham chain (2p+1) 860 16219299585*2^16612-1 5011 p158 2005 Cunningham chain (p) 861d p(20186952) 4998 c46 2009 Partitions, ECPP 862f primA(95475) 4966 c4 2009 Lucas Aurifeuillian primitive part, ECPP 863 11549#+1 4951 D 1986 Primorial 864c primV(24383) 4951 c4 2009 Lucas primitive part, ECPP 865c primV(27167) 4866 c4 2009 Lucas primitive part, ECPP 866e primV(28940) 4836 c4 2009 Lucas primitive part, ECPP 867 2288999415*2^15939-1 4808 p133 2004 Cunningham chain (4p+3) 868 2288999415*2^15938-1 4808 p133 2004 Cunningham chain (2p+1) 869 2288999415*2^15937-1 4807 p133 2004 Cunningham chain (p) 870 7911*2^15823-1 4768 K 1987 Woodall 871 V(22811)/(2469062641*84961206854418761) 4741 c8 2004 Lucas cofactor, ECPP 872 primU(25493) 4695 c8 2007 Fibonacci primitive part, ECPP 873d p(17819598) 4695 c46 2009 Partitions, ECPP 874 1793349831*2^15257+1 4603 p133 2004 Cunningham chain 2nd kind (4p-3) 875 p(17120312) 4602 c39 2007 Partitions, ECPP 876 p(17120303) 4602 c39 2007 Partitions, ECPP 877 1110159213*2^15166+1 4575 g250 2002 Cunningham chain 2nd kind (4p-3) 878 primB(95655) 4564 c4 2009 Lucas Aurifeuillian primitive part, ECPP 879 3345660375*2^15127+1 4564 p94 2002 Cunningham chain 2nd kind (4p-3) 880 Phi(6685,-10) 4560 c8 2003 Unique, ECPP 881 primV(29810) 4515 c8 2004 Lucas primitive part, ECPP 882 E(1736)/(55695515*75284987831*3222089324971117) 4498 c4 2004 Euler irregular, ECPP 883 U(21577)/(8626362776257*608114436652075009) 4479 c8 2004 Fibonacci cofactor, ECPP 884e p(16102957) 4463 c46 2009 Partitions, ECPP 885 p(16026516) 4452 c39 2006 Partitions, ECPP 886 primU(34593) 4444 c8 2007 Fibonacci primitive part, ECPP 887 primA(53155) 4444 x25 2002 Lucas Aurifeuillian primitive part, cyclotomy 888 2^14699+2^7350+1 4425 O 2000 Gaussian Mersenne norm 27 889 primU(38181) 4414 c8 2007 Fibonacci primitive part, ECPP 890 primA(52825) 4414 x25 2003 Lucas Aurifeuillian primitive part 891 primB(79125) 4389 c4 2009 Lucas Aurifeuillian primitive part, ECPP 892e p(15502228) 4379 c46 2009 Partitions, ECPP 893 p(15446832) 4371 c8 2006 Partitions, ECPP 894 p(15432340) 4369 c8 2006 Partitions, ECPP 895 p(15421217) 4367 c8 2006 Partitions, ECPP 896 p(15415500) 4366 c8 2006 Partitions, ECPP 897 (2^14561-1)/8074991336582835391 4365 c8 2004 Mersenne cofactor, ECPP 898 (2^14621-1)/(1958650799081*9787919624201558678734079) 4365 c4 2008 Mersenne cofactor, ECPP 899 Phi(3273,-100) 4361 c8 2003 Unique, ECPP 900 (2^14479+1)/3 4359 c4 2004 Generalized Lucas number, Wagstaff, ECPP 901 Phi(1087,-10000) 4344 c8 2002 Unique, ECPP 902 primB(56815) 4314 c4 2009 Lucas Aurifeuillian primitive part, ECPP 903 primV(20578) 4301 p54 2001 Lucas primitive part 904 primU(21053) 4274 c8 2007 Fibonacci primitive part, ECPP 905 primU(31209) 4264 c8 2007 Fibonacci primitive part, ECPP 906 primV(21298) 4249 c4 2009 Lucas primitive part, ECPP 907 Phi(483,-10^16) 4224 c8 2002 Unique, ECPP 908 276474*Bern(2030)/(19426085*24191786327543) 4200 c8 2003 Irregular, ECPP 909 primU(25115) 4199 CH3 2005 Fibonacci primitive part 910 primU(30687) 4173 c8 2007 Fibonacci primitive part, ECPP 911 V(19469) 4069 x25 2002 Lucas number, cyclotomy, APR-CL assisted 912 1477!+1 4042 D 1984 Factorial 913 U(19433)/(8200903423639793*124790158973035710313*163702910239586286961\ 573) 4002 c8 2004 Fibonacci cofactor, ECPP 914 primV(19148) 4001 p12 2001 Lucas primitive part 915 U(19051)/44198321 3974 c8 2004 Fibonacci cofactor, ECPP 916 U(18919)/1497228584233 3942 c8 2004 Fibonacci cofactor, ECPP 917 primU(22939) 3933 c8 2007 Fibonacci primitive part, ECPP 918 Phi(1959,1000) 3912 c8 2002 Unique, ECPP 919 primA(52855) 3888 c4 2009 Lucas Aurifeuillian primitive part, ECPP 920 primU(23009) 3883 c8 2007 Fibonacci primitive part, ECPP 921 primV(18857) 3882 c4 2009 Lucas primitive part, ECPP 922 primV(23716) 3863 p54 2001 Lucas primitive part 923 -2730*Bern(1884)/100983617849 3844 c8 2003 Irregular, ECPP 924 2840178*Bern(1870)/85 3821 c8 2003 Irregular, ECPP 925 U(18427)/(1828363793*23130933997*11364458229549793) 3815 c8 2004 Fibonacci cofactor, ECPP 926 Phi(955,-100000) 3801 c8 2002 Unique, ECPP 927 -197676570*18851280661*Bern(1836)/(59789*3927024469727) 3734 c8 2003 Irregular, ECPP 928 12379*2^12379-1 3731 K 1984 Woodall 929 (2^12391+1)/3 3730 M 1996 Generalized Lucas number, Wagstaff 930 (2^12451-1)/(4980401*15289230353*1143390212315192593598809) 3708 c4 2008 Mersenne cofactor, ECPP 931 primU(32985) 3672 x23 2007 Fibonacci primitive part 932 E(1468)/(95*217158949445380764696306893*597712879321361736404369071) 3671 c4 2003 Euler irregular, ECPP 933 642*Bern(1802)/15720728189 3641 c8 2003 Irregular, ECPP 934 primA(42685) 3568 c46 2008 Lucas Aurifeuillian primitive part 935 U(17137)/328335144266897 3567 c8 2004 Fibonacci cofactor, ECPP 936 primU(18689) 3549 c8 2007 Fibonacci primitive part, ECPP 937 U(17011)/42109783293497 3542 c8 2004 Fibonacci cofactor 938 V(17029)/(9570299*495749440031) 3541 c8 2004 Lucas cofactor, ECPP 939 (2^11813-1)/(70879*207971134271377) 3537 c8 2002 Mersenne cofactor, ECPP 940 primU(41055) 3531 c8 2007 Fibonacci primitive part, ECPP 941 primA(45565) 3512 c4 2009 Lucas Aurifeuillian primitive part, ECPP 942 primU(34515) 3491 c8 2003 Fibonacci primitive part, ECPP 943 primU(20665) 3455 DK 1999 Fibonacci primitive part 944 primU(24699) 3441 p54 2001 Fibonacci primitive part 945 (2^11279+1)/3 3395 PM 1998 Cyclotomy, generalized Lucas number, Wagstaff 946 U(16369)/(299022540829*8523458822385578881) 3391 c8 2004 Fibonacci cofactor, ECPP 947 primU(17221) 3385 c8 2003 Fibonacci primitive part, ECPP 948 Phi(6135,10) 3265 c8 2001 Unique, ECPP 949 V(15511)/394599841 3234 c8 2004 Lucas cofactor, ECPP 950 primU(23211) 3233 DK 1999 Fibonacci primitive part 951 (2^10691+1)/3 3218 c4 2004 Generalized Lucas number, Wagstaff, ECPP 952 primA(41665) 3211 c8 2003 Lucas Aurifeuillian primitive part, ECPP 953 (2^10501+1)/3 3161 M 1996 Generalized Lucas number, Wagstaff 954 V(14887)/1256071867381 3100 c8 2004 Lucas cofactor 955 Phi(3341,-10) 3073 c8 2001 Unique, ECPP 956 2^10141+2^5071+1 3053 O 2000 Gaussian Mersenne norm 26 957 (2^10169-1)/10402314702094700470118039921523041260063 3022 c8 2002 Mersenne cofactor, ECPP 958 V(14449) 3020 DK 1995 Lucas number 959 U(14431) 3016 p54 2001 Fibonacci number 960 Phi(3011,-10) 3010 F2 2001 Unique, APR-CL assisted 961 (2^10007-1)/(14477908246561*136255313*10368448917257) 2979 c8 2002 Mersenne cofactor, ECPP 962 U(14177)/2199986861 2954 c8 2004 Fibonacci cofactor 963 primU(19415) 2943 c8 2003 Fibonacci primitive part, ECPP 964 V(13963) 2919 c11 2002 Lucas number, ECPP 965 primA(51945) 2894 c8 2003 Lucas Aurifeuillian primitive part, ECPP 966 (2^9697-1)/(724126946527*19092282046942032847) 2888 c8 2002 Mersenne cofactor, ECPP 967 (2^9733-1)/(2932747561*353435802999708808999*4424579967215442704801447) 2876 c4 2001 Mersenne cofactor, ECPP 968 9531*2^9531-1 2874 K 1984 Woodall 969 (2^9901-1)/(87770464009*4512717821471308759*8336998551279784091551*101\ 7688752041649660766793*25146117302614435382787771401*15024406890765276\ 20360606617623599) 2844 c2 2001 Mersenne cofactor, ECPP 970 6569#-1 2811 D 1992 Primorial 971 primB(49785) 2774 c8 2003 Lucas Aurifeuillian primitive part, ECPP 972 U(13063)/(4389169*10370895133369) 2710 c8 2004 Fibonacci cofactor 973 primA(52275) 2676 c8 2003 Lucas Aurifeuillian primitive part, ECPP 974 U(12743)/8869129 2656 c8 2004 Fibonacci cofactor 975 (2^8849-1)/(52368383*15264764469472455023) 2637 c4 2001 Mersenne cofactor, ECPP 976 primB(48375) 2634 F3 2001 Lucas Aurifeuillian primitive part, APR-CL assisted 977 V(12503)/4954888889 2604 c8 2004 Lucas cofactor 978 primB(31145) 2603 p54 2001 Lucas Aurifeuillian primitive part 979 Phi(3903,10) 2600 p44 2001 Unique 980 primB(34045) 2584 c8 2003 Lucas Aurifeuillian primitive part, ECPP 981 V(12457)/(1420099*81953391325049801) 2581 c8 2004 Lucas cofactor, ECPP 982 -E(1078)/361898544439043 2578 c4 2002 Euler irregular, ECPP 983 V(12251) 2561 p54 2001 Lucas number 984 primA(47235) 2538 c8 2003 Lucas Aurifeuillian primitive part, ECPP 985 primB(53625) 2508 c8 2003 Lucas Aurifeuillian primitive part, ECPP 986 974!-1 2490 CD 1992 Factorial 987 U(11807)/(231936709*1129990105451996281) 2441 c8 2004 Fibonacci cofactor, ECPP 988 E(1028)/(6415*56837916301577) 2433 c4 2002 Euler irregular, ECPP 989 V(11657)/69172639 2429 c8 2004 Lucas cofactor 990 primB(45105) 2407 c8 2003 Lucas Aurifeuillian primitive part, ECPP 991 E(1004)/(579851915*80533376783) 2364 c4 2002 Euler irregular, ECPP 992 V(11393)/(3076111*5299498382701) 2362 c8 2004 Lucas cofactor 993 953477584*5501#-1 2355 p133 2005 Cunningham chain (8p+7) 994 U(11393)/(38772745844002993*2788032223609253801) 2346 c8 2004 Fibonacci cofactor, ECPP 995 V(11261)/16823009787209 2341 c8 2004 Lucas cofactor 996 U(11279)/(34987457*70263726073) 2339 c8 2004 Fibonacci cofactor 997 7755*2^7755-1 2339 K 1984 Woodall 998 V(11213)/(224261*1476324252027331181) 2320 c8 2004 Lucas cofactor, ECPP 999 U(11093)/544296421641613 2304 c8 2004 Fibonacci cofactor 1000 (2^7757-1)/233293220467553594643512097574361 2303 c2 2001 Mersenne cofactor, ECPP 1001 (2^7673-1)/2563193011919 2298 M1 1997 Mersenne cofactor, cyclotomy 1002 V(11173)/(25206289*28583254701767411959*24018475125955094159731) 2286 c8 2004 Lucas cofactor, ECPP 1003 -2090369190*Bern(1236)/(103*939551962476779*157517441360851951) 2276 c4 2002 Irregular, ECPP 1004 -36870*Bern(1228)/1043706675925609 2272 c4 2002 Irregular, ECPP 1005 V(10691) 2235 DK 1995 Lucas number 1006 (2^7331-1)/458072843161 2196 EM 1997 Mersenne cofactor, ECPP 1007 (2^7417-1)/(1930694161304071*3888241452787718190543521) 2193 c8 2002 Mersenne cofactor, ECPP 1008 872!+1 2188 D 1983 Factorial 1009 Phi(3261,-10) 2173 F2 2001 Unique, APR-CL assisted 1010e 69705381*5003#+1 2145 p252 2009 Arithmetic progression (6,d=6632285*5003#) 1011 Phi(2137,-10) 2136 c6 2000 Unique, ECPP 1012 V(10223)/61893855542632111 2120 c8 2004 Lucas cofactor, ECPP 1013 (2^7039-1)/(1324401538053479*8541573097*218216841131937276721) 2074 c2 2001 Mersenne cofactor, ECPP 1014 -E(902)/(9756496279*314344516832998594237) 2069 c4 2002 Euler irregular, ECPP 1015 4104082046*4799#+5659 2058 c18 2005 Quadruplet (4), ECPP 1016 4104082046*4799#+5657 2058 c18 2005 Quadruplet (3), ECPP 1017 4104082046*4799#+5653 2058 c18 2005 Quadruplet (2), ECPP 1018 4104082046*4799#+5651 2058 c18 2005 Quadruplet (1), ECPP 1019 V(9839)/491951 2051 c8 2004 Lucas cofactor 1020 (2^6883-1)/(1885943*2043031664890199) 2051 M1 1997 Mersenne cofactor, cyclotomy 1021 -E(886)/68689 2051 c4 2002 Euler irregular, ECPP 1022 4787#+1 2038 D 1984 Primorial 1023 U(9677) 2023 c2 2000 Fibonacci number, ECPP 1024 U(9931)/(3079452003211541*122039293401017981*604956242930486632441) 2022 c8 2004 Fibonacci cofactor 1025 U(9967)/(120801834061*3105570884441*1047583984031437*22727240300133999\ 677*15086016388211003643481) 2003 c8 2005 Fibonacci cofactor, ECPP 1026 6611*2^6611+1 1994 K 1984 Cullen 1027 4583#-1 1953 D 1992 Primorial 1028 U(9311) 1946 DK 1995 Fibonacci number 1029 4547#+1 1939 D 1984 Primorial 1030 V(9209)/(29745071*101409509*547683904686691*4025749704474499) 1879 c8 2004 Lucas cofactor 1031 4297#-1 1844 D 1992 Primorial 1032 V(8807)/356419291 1833 c8 2004 Lucas cofactor 1033 (2^6199-1)/(46113927071*3895469424045161025776010136475884556282201) 1813 c8 2005 Mersenne cofactor, ECPP 1034 2^5900+469721940591 1777 c45 2007 Consecutive primes arithmetic progression (4,d=2880), ECPP 1035 11628008104*4127#+1 1770 p133 2005 Cunningham chain 2nd kind (8p-7) 1036 V(8467) 1770 c2 2000 Lucas number, ECPP 1037 18672891658*4099#+1591789579 1763 c14 2003 ECPP, consecutive primes arithmetic progression (4,d=210) 1038 4093#-1 1750 CD 1992 Primorial 1039 5795*2^5795+1 1749 K 1984 Cullen 1040 (2^5807+1)/3 1748 PM 1998 Cyclotomy, generalized Lucas number, Wagstaff 1041 U(8537)/(900766408671673*558828605201*17191134589117*92295773098952073\ 61) 1725 c8 2004 Fibonacci cofactor 1042 1226756544*4001#+1 1712 p133 2004 Cunningham chain 2nd kind (8p-7) 1043 U(8353)/(176465477*2184683363573*3620673479519515599362549) 1701 c8 2004 Fibonacci cofactor 1044 V(8329)/(5533286033716829*62798306322672929543921*23984131456587054365\ 62211) 1678 c8 2006 Lucas cofactor, ECPP 1045 V(7741) 1618 DK 1995 Lucas number 1046 52069470*3739#+1 1606 p155 2006 Arithmetic progression (6,d=3884057*3739#) 1047 83*2^5318-1 1603 K 1984 Woodall 1048 V(7243)/289721 1509 c8 2004 Lucas cofactor 1049 45496757*3529#+1 1503 p42 2006 Arithmetic progression (6,d=3603821*3529#) 1050 11024895887*3499#+855739 1491 c18 2003 Quadruplet (4), ECPP 1051 11024895887*3499#+855737 1491 c18 2003 Quadruplet (3), ECPP 1052 11024895887*3499#+855733 1491 c18 2003 Quadruplet (2), ECPP 1053 11024895887*3499#+855731 1491 c18 2003 Quadruplet (1), ECPP 1054 4713*2^4713+1 1423 K 1984 Cullen 1055 -54570*Bern(848)/(428478023*5051145078213134269) 1418 c4 2002 Irregular, ECPP 1056 3229#+1 1368 D 1984 Primorial 1057 -E(638)/(7235862947323*11411779188663863*526900327479624797) 1343 c4 2002 Euler irregular, ECPP 1058 41812496896*3067#-1 1316 p133 2004 Cunningham chain (8p+7) 1059 1054831232256*3061#+1 1314 p44 2003 Cunningham chain 2nd kind (8p-7) 1060 191881920*3067#-1 1314 p133 2004 Cunningham chain (8p+7) 1061 23^963+1031392866 1312 c32 2005 Consecutive primes arithmetic progression (4,d=1500) 1062 138*Bern(814)/(28409964671*335055893*351085907*520460183*30348030379*1\ 7043083582983) 1311 c4 2002 Irregular, ECPP 1063 13657785480*3049#-1 1309 p94 2002 Cunningham chain (8p+7) 1064 V(6379)/(9823661*187797761*39735824399) 1308 c8 2004 Lucas cofactor 1065 2853609856*3041#+1 1304 p94 2002 Cunningham chain 2nd kind (8p-7) 1066 49157981*3041#+1 1303 p151 2008 Arithmetic progression (6,d=5151124*3041#) 1067 42261175*3041#+1 1303 p151 2008 Arithmetic progression (6,d=1552212*3041#) 1068 V(6661)/(20413264084399*254844997471*6472729219639*8036635984600095627\ 961*64250170013936618067104660874142964379889) 1292 c8 2005 Lucas cofactor, ECPP 1069 833000864*3011#+1 1290 p155 2006 Arithmetic progression (7,d=114858412*3011#) 1070 821752479*3011#+1 1290 p155 2006 Arithmetic progression (7,d=114379137*3011#) 1071 797311599*3011#+1 1290 p155 2006 Arithmetic progression (7,d=98881303*3011#) 1072 489855608*3011#+1 1290 p155 2006 Arithmetic progression (7,d=1679489*3011#) 1073 1730304995*3001#+1 1287 p73 2004 Arithmetic progression (7,d=230408192*3001#) 1074 10271674954*2999#+3469 1284 p26 2002 Quadruplet (4), ECPP 1075 10271674954*2999#+3467 1284 p26 2002 Quadruplet (3), ECPP 1076 10271674954*2999#+3463 1284 p26 2002 Quadruplet (2), ECPP 1077 10271674954*2999#+3461 1284 p26 2002 Quadruplet (1), ECPP 1078 4919761805*2999#+6763 1284 c23 2003 Consecutive primes arithmetic progression (4,d=30) 1079 546!-1 1260 D 1992 Factorial 1080 354*Bern(754)/(377*883462452530494157) 1225 c4 2002 Irregular, ECPP 1081 V(5851) 1223 DK 1995 Lucas number 1082 19743490208*2801#-1 1208 p133 2005 Cunningham chain (8p+7) 1083 -690*Bern(748)/(720511*138192830377045750339532383) 1201 c8 2002 Irregular, ECPP 1084 6*Bern(734)/(377231593*75401119*170508089) 1178 c4 2002 Irregular, ECPP 1085 2722420456827*2^3800+7 1157 c44 2007 Quadruplet (4) 1086 2722420456827*2^3800+5 1157 c44 2007 Quadruplet (3) 1087 2722420456827*2^3800+1 1157 L467 2007 Quadruplet (2) 1088 2722420456827*2^3800-1 1157 L467 2007 Quadruplet (1) 1089 477707955423*2^3802+7 1157 c44 2007 Quadruplet (4) 1090 477707955423*2^3802+5 1157 c44 2007 Quadruplet (3) 1091 477707955423*2^3802+1 1157 L467 2007 Quadruplet (2) 1092 477707955423*2^3802-1 1157 L467 2007 Quadruplet (1) 1093 U(5387) 1126 WM 1990 Fibonacci number 1094 2657#+1 1115 BC 1981 Primorial 1095 424232794973*2593#+43789 1107 c18 2009 Quintuplet (5) , ECPP 1096 424232794973*2593#+43787 1107 c18 2009 Quintuplet (4) , ECPP 1097 424232794973*2593#+43783 1107 c18 2009 Quintuplet (3) , ECPP 1098 424232794973*2593#+43781 1107 c18 2009 Quintuplet (2) , ECPP 1099 424232794973*2593#+43777 1107 c18 2009 Quintuplet (1) , ECPP 1100 -88230*Bern(688)/(465776197109*1913589601207) 1088 c4 2002 Irregular, ECPP 1101 6*Bern(674)/337 1077 c4 2002 Irregular, ECPP 1102 283534892623*2477#+1091273 1069 c18 2006 Quintuplet (5), ECPP 1103 283534892623*2477#+1091269 1069 c18 2006 Quintuplet (4), ECPP 1104 283534892623*2477#+1091267 1069 c18 2006 Quintuplet (3), ECPP 1105 283534892623*2477#+1091263 1069 c18 2006 Quintuplet (2), ECPP 1106 283534892623*2477#+1091261 1069 c18 2006 Quintuplet (1), ECPP 1107 (2^3539+1)/3 1065 M 1989 First titanic by ECPP, generalized Lucas number, Wagstaff 1108 -E(510) 1062 c4 2002 Euler irregular, ECPP 1109 -E(526)/(5062100689*71096484738291757946225730043997) 1060 c4 2002 Euler irregular, ECPP 1110 2968802755*2459#+1 1057 p155 2009 Arithmetic progression (8,d=359463429*2459#) 1111 2519951928*2459#+1 1057 p155 2009 Cunningham chain 2nd kind (8p-7) 1112 469!-1 1051 BC 1981 Factorial 1113 11^1008+998672782 1050 c32 2005 Consecutive primes arithmetic progression (4,d=1080) 1114 142661157626*2411#+71427877 1038 c14 2002 Consecutive primes arithmetic progression (5,d=30) 1115 6179783529*2411#+1 1037 p102 2003 Arithmetic progression (8,d=176836494*2411#) 1116 31969211688*2399#+16073 1034 c18 2002 Quintuplet (5), ECPP 1117 31969211688*2399#+16069 1034 c18 2002 Quintuplet (4), ECPP 1118 31969211688*2399#+16067 1034 c18 2002 Quintuplet (3), ECPP 1119 31969211688*2399#+16063 1034 c18 2002 Quintuplet (2), ECPP 1120 31969211688*2399#+16061 1034 c18 2002 Quintuplet (1), ECPP 1121 R(1031) 1031 WD 1985 Repunit 1122 2377#-1 1007 D 1992 Primorial 1123 V(4793) 1002 DK 1995 Lucas number 1124 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 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