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 Jul 4 07:20:51 CDT 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?? 2b 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 1582137*2^6328550+1 1905090 L801 2009 Cullen 16 258317*2^5450519+1 1640776 g414 2008 17d 3*2^5082306+1 1529928 L780 2009 Divides GF(5082303,3), GF(5082305,5) 18 5359*2^5054502+1 1521561 SB6 2003 19 265711*2^4858008+1 1462412 g414 2008 20 3*2^4235414-1 1274988 L606 2008 21 24518^262144+1 1150678 g413 2008 Generalized Fermat 22 938237*2^3752950-1 1129757 L521 2007 Woodall 23 485767*2^3609357-1 1086531 L622 2008 24 5*2^3569154-1 1074424 L503 2009 25 7*2^3511774+1 1057151 p236 2008 Divides GF(3511773,6) 26 3139*2^3321905-1 999997 L185 2008 27 4847*2^3321063+1 999744 SB9 2005 28 113983*2^3201175-1 963655 L613 2008 29 3*2^3136255-1 944108 L256 2007 30 5*2^3059698-1 921062 L503 2008 31 2^3021377-1 909526 G3 1998 Mersenne 37 32 7*2^3015762+1 907836 g279 2008 33 4348099*2^2976221-1 895939 L466 2008 34 2^2976221-1 895932 G2 1997 Mersenne 36 35 7*2^2915954+1 877791 g279 2008 Divides GF(2915953,12) [g322] 36 222361*2^2854840+1 859398 g403 2006 37 1372930^131072+1 804474 g236 2003 Generalized Fermat 38 1361244^131072+1 803988 g236 2004 Generalized Fermat 39 1176694^131072+1 795695 g236 2003 Generalized Fermat 40 342673*2^2639439-1 794556 L53 2007 41 572186^131072+1 754652 g0 2004 Generalized Fermat 42 3*2^2478785+1 746190 g245 2003 Divides Fermat F(2478782), GF(2478782,3), GF(2478776,6), GF(2478782,12) 43 26773*2^2465343-1 742147 L197 2006 44 5*2^2460482-1 740680 L503 2008 45 737*2^2382804-1 717299 L191 2007 46 1183953*2^2367907-1 712818 L447 2007 Woodall 47 275293*2^2335007-1 702913 L193 2006 48 3*2^2312734-1 696203 L158 2005 49 450457*2^2307905-1 694755 L172 2006 50 3*2^2291610+1 689844 L753 2008 Divides GF(2291607,3), GF(2291609,5) 51 130816^131072+1 670651 g308 2003 Generalized Fermat 52 19*2^2206266+1 664154 p189 2006 53 5077*2^2198565-1 661838 L251 2008 54 114487*2^2198389-1 661787 L179 2006 55 196597*2^2178109-1 655682 L175 2006 56 7*2^2167800+1 652574 g279 2007 Divides Fermat F(2167797), GF(2167799,5), GF(2167799,10) 57 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) 58 23*2^2141626-1 644696 L545 2008 59 7*2^2139912+1 644179 g279 2007 Divides GF(2139911,12) 60 62722^131072+1 628808 g308 2003 Generalized Fermat 61 1003*2^2076535-1 625103 L51 2008 62 9*2^2060941-1 620407 L503 2008 63 121*2^2033941-1 612280 L162 2006 64 251749*2^2013995-1 606279 L436 2007 Woodall 65 467917*2^1993429-1 600088 L160 2005 66 137137*2^1993201-1 600019 L321 2007 67 17*2^1990299+1 599141 g267 2006 Divides GF(1990298,3) 68 25*2^1977369-1 595249 L426 2008 69 121*2^1954243-1 588288 L162 2006 70 214519*2^1929114+1 580727 g346 2006 71 345067*2^1876573-1 564911 g59 2005 72 13*2^1861732+1 560439 g267 2005 Divides GF(1861731,6) 73 137*2^1849238-1 556679 L321 2007 74 15*2^1837873-1 553257 L632 2008 75 3*2^1832496+1 551637 p189 2007 Divides GF(1832490,3), GF(1832494,5) 76 21*2^1830919+1 551163 g279 2004 77 33*2^1813526-1 545928 L621 2008 78 417643*2^1800787-1 542097 L134 2005 79 357659*2^1779748-1 535764 L47 2005 80 5*2^1777515+1 535087 p148 2005 Divides GF(1777511,5), GF(1777514,6) 81 5077*2^1753317-1 527805 L251 2008 82c 1179*2^1750847+1 527061 g387 2009 83 253*2^1722623-1 518564 L145 2007 84 121*2^1695499-1 510399 L62 2005 85 19*2^1684813-1 507181 L503 2008 86 15*2^1667744+1 502043 g279 2007 87 149183*2^1666957+1 501810 g346 2005 88 63*2^1659338-1 499513 L503 2008 89 61*2^1654383-1 498021 L503 2008 90 69*2^1649423-1 496528 L621 2008 91 469949*2^1649228-1 496473 L160 2007 92e 81*2^1643428+1 494724 g418 2009 Generalized Fermat 93 81*2^1606848+1 483712 gt 2007 Generalized Fermat 94 15*2^1597510+1 480900 g279 2006 95 58753*2^1594323-1 479944 p190 2006 96 737*2^1592724-1 479461 L191 2006 97 110413*2^1591999-1 479245 L111 2005 98e 99*2^1591984-1 479237 L282 2009 99 1179*2^1591362+1 479051 g387 2006 100 121*2^1589157-1 478387 L65 2005 101 19502212^65536+1 477763 p160 2005 Generalized Fermat 102b 311*2^1581686-1 476138 L623 2009 103 17684828^65536+1 474979 g410 2007 Generalized Fermat 104 17655444^65536+1 474932 g410 2007 Generalized Fermat 105 17629398^65536+1 474890 g410 2007 Generalized Fermat 106 29*2^1574753+1 474050 L391 2008 107 139*2^1567874+1 471980 p189 2006 108 81*2^1544545+1 464957 gt 2007 109 234847*2^1535589-1 462264 L73 2005 110 121*2^1526097-1 459404 L65 2005 111 19709699*2^1521540-1 458037 L421 2008 112 13*2^1499876+1 451509 g267 2004 Divides GF(1499875,3) 113 7*2^1491852+1 449094 p166 2005 Divides GF(1491851,6) 114 2232007*2^1490605-1 448724 L4 2003 115 9*2^1481821-1 446074 L503 2008 116 29*2^1478344-1 445028 L10 2005 117 27*2^1476347+1 444427 g279 2005 118 325627*2^1472117-1 443157 L111 2005 119 1467763*2^1467763-1 441847 L381 2007 Woodall 120 77*2^1467554-1 441780 L145 2006 121e 99*2^1461496-1 439957 L282 2009 122 21*2^1452771-1 437329 L503 2008 123 23*2^1448461+1 436032 L170 2008 124 19*2^1434165-1 431728 L503 2008 125 113*2^1425998-1 429271 L257 2008 126 21*2^1421741+1 427989 g279 2005 127 15*2^1418605+1 427044 g279 2006 Divides GF(1418600,5), GF(1418601,6) 128 29*2^1416873+1 426523 g305 2007 129 149797*2^1414137-1 425703 L105 2005 130 127*2^1398889-1 421110 L486 2008 131 1564347*2^1398269-1 420928 L466 2008 132 2^1398269-1 420921 G1 1996 Mersenne 35 133 192089*2^1395688-1 420150 L49 2004 134 113*2^1389674-1 418336 L257 2008 135 17*2^1388355+1 417938 g267 2005 Divides GF(1388354,10) 136d 2187182^65536+1 415491 g260 2009 Generalized Fermat 137 2177038^65536+1 415359 g260 2008 Generalized Fermat 138 2162068^65536+1 415162 g260 2008 Generalized Fermat 139 15*2^1368428+1 411940 g279 2006 140 1874512^65536+1 411101 g413 2008 Generalized Fermat 141 241489*2^1365062+1 410930 L101 2005 142 1828502^65536+1 410393 GF2 2005 Generalized Fermat 143 35*2^1357881+1 408765 g279 2006 144 338707*2^1354830+1 407850 L124 2005 Cullen 145 1540550^65536+1 405516 GF2 2003 Generalized Fermat 146 15*2^1344313-1 404680 L139 2007 147 1483076^65536+1 404434 GF2 2003 Generalized Fermat 148 11*2^1343347+1 404389 p169 2005 Divides GF(1343346,6) 149 1478036^65536+1 404337 GF2 2002 Generalized Fermat 150 54767*2^1337287+1 402569 SB5 2002 151 1374038^65536+1 402260 GF3 2003 Generalized Fermat 152 81*2^1335675-1 402081 L268 2008 153 1361846^65536+1 402007 GF3 2002 Generalized Fermat 154 1266062^65536+1 399931 g295 2002 Generalized Fermat 155 5*2^1320487+1 397507 g55 2002 Divides GF(1320486,12) 156 1057476^65536+1 394807 g197 2002 Generalized Fermat 157 1024390^65536+1 393902 g299 2003 Generalized Fermat 158 25*2^1298186+1 390795 g279 2005 Generalized Fermat 159 99*2^1292395-1 389052 L282 2008 160 857678^65536+1 388847 GF0 2002 Generalized Fermat 161 843832^65536+1 388384 GF0 2001 Generalized Fermat 162 138847*2^1283793-1 386466 L2 2003 163 5*2^1282755+1 386149 g55 2002 Divides GF(1282754,3), GF(1282748,5) 164 15*2^1276177+1 384169 g279 2006 Divides GF(1276174,3), GF(1276174,10) 165 1268979*2^1268979-1 382007 L201 2007 Woodall 166 671600^65536+1 381886 g55 2002 Generalized Fermat 167 11*2^1261478-1 379744 L163 2006 168 25*2^1258562+1 378867 g279 2004 Generalized Fermat 169 2084259*2^1257787-1 378638 L466 2008 170 26869*2^1257787-1 378637 L466 2007 171 2^1257787-1 378632 SG 1996 Mersenne 34 172 49*2^1257295-1 378486 L217 2008 173 6201*2^1257068+1 378419 L667 2008 174 81*2^1254155+1 377541 gt 2007 175 27*2^1253870-1 377454 L65 2008 176 80857169*2^1251076-1 376620 L10 2004 177 549868^65536+1 376194 g295 2003 Generalized Fermat 178 544118^65536+1 375895 g295 2002 Generalized Fermat 179 15*2^1244377+1 374596 g279 2006 180 257708*5^535176-1 374078 p196 2007 181 21*2^1240067+1 373299 g279 2004 182 43*2^1235298+1 371864 g279 2006 183 3*2^1232255-1 370947 L30 2004 184 15*2^1229600+1 370148 g279 2006 185 19581121*2^1229561-1 370143 p49 2008 186 440846^65536+1 369904 GC1 2002 Generalized Fermat 187 177482*117^177482+1 367072 g407 2008 Generalized Cullen 188 25*2^1211488+1 364696 g279 2005 Generalized Fermat, divides GF(1211487,12) 189 357868^65536+1 363969 g266 2003 Generalized Fermat 190 2^1203793-2^601897+1 362378 L192 2006 Gaussian Mersenne norm 37? 191 3*2^1201046-1 361552 L77 2004 192 502541*2^1199930-1 361221 L93 2004 193 1195203*2^1195203-1 359799 L124 2005 Woodall 194 5*2^1194164-1 359480 L478 2008 195 292550^65536+1 358233 GC2 2002 Generalized Fermat 196 291726^65536+1 358153 GC2 2002 Generalized Fermat 197 71009*2^1185112-1 356760 L47 2004 198 255694^65536+1 354401 g266 2002 Generalized Fermat 199 617*2^1175468-1 353854 L426 2007 200 21*2^1170083-1 352232 L503 2008 201 27*2^1164664+1 350601 g279 2005 202 27*2^1163629-1 350289 L503 2008 203 55*2^1162155-1 349846 L545 2008 204 69109*2^1157446+1 348431 SB4 2002 205 152713*2^1154707-1 347607 g23 2004 206 29*2^1152765+1 347019 g300 2005 Divides GF(1152760,10) 207 189590^65536+1 345887 g262 2002 Generalized Fermat 208 350107*2^1144101-1 344415 L35 2004 209 31*2^1142093-1 343806 L503 2008 210 209826493*2^1140855-1 343440 L10 2004 211 500621*2^1138518-1 342734 L73 2004 212 504613*2^1136459-1 342114 L84 2004 213 33*2^1130884+1 340432 L165 2006 Divides GF(1130881,12) 214 64*3^712171+1 339794 x28 2006 215 63*2^1126551-1 339128 L323 2008 216f 842711*2^1126138-1 339008 L251 2009 217 177*2^1121720+1 337674 L129 2006 218 141146^65536+1 337489 g281 2002 Generalized Fermat 219 165*2^1117217+1 336319 g196 2007 220 33*2^1115902-1 335922 L488 2008 221 27*2^1108214-1 333608 L590 2008 222 99*2^1106989-1 333239 L486 2007 223 11*2^1104606-1 332521 L10 2005 224d 49*2^1103430+1 332168 L669 2009 Generalized Fermat 225 165*2^1100755+1 331363 g196 2007 226 289*2^1098117-1 330569 L6 2006 227 19433*2^1096861+1 330193 g411 2008 228 108368^65536+1 329968 g181 2001 Generalized Fermat 229 43*2^1087992+1 327520 g279 2006 230c 45*2^1086062+1 326939 L669 2009 231 412717*2^1084409-1 326446 L76 2004 232 15*2^1084010-1 326321 L139 2006 233b 103*2^1077739-1 324434 L621 2009 234 150847*2^1076441-1 324047 L73 2004 235 55*2^1075711-1 323824 L545 2008 236 85*2^1072368+1 322817 g267 2006 237 209826493*2^1071303-1 322503 L10 2004 238b 63*2^1070449+1 322240 L669 2009 239 107*2^1070256-1 322182 L621 2008 240 2203*2^1069647-1 322000 L123 2006 241d 53*2^1066381+1 321015 L669 2009 242 133*2^1065655-1 320797 L632 2008 243 257*2^1064062-1 320317 L632 2008 244 217*2^1059961-1 319083 L639 2008 245e 41*2^1059562-1 318962 L282 2009 246 864316301*2^1055106-1 317628 L426 2007 247 9*2^1051026+1 316392 p156 2004 Generalized Fermat 248c 12345*2^1047788-1 315420 L426 2009 249 11*2^1044086-1 314303 L10 2005 250b 105*2^1043063-1 313996 L384 2009 251 151515*2^1043018-1 313985 L426 2007 252 35*2^1040005+1 313075 g279 2006 253 121*2^1039965-1 313063 L65 2004 254 958*11^300544+1 312988 p217 2008 255 13*2^1038896+1 312740 g267 2004 256 85*2^1034069-1 311288 L323 2007 257 217*2^1026869-1 309121 L632 2008 258 91*2^1026521-1 309016 L323 2008 259 31838235*2^1025596+1 308743 p190 2006 260 21*2^1022168+1 307705 g279 2004 261 48594^65536+1 307140 g141 2000 Generalized Fermat 262 205*2^1019679-1 306957 L632 2008 263 65567*2^1013803+1 305190 SB2 2002 264 6119*2^1011416-1 304471 L251 2007 265 9*2^1010277-1 304125 L80 2007 266 165*2^1010133+1 304083 g196 2007 267 729*2^1003373-1 302049 L466 2008 268 603*2^1002662+1 301835 p219 2007 269 945*2^1001719+1 301551 p219 2007 270 103*2^1001214+1 301398 p219 2007 271 869*2^1000725+1 301252 p114 2005 272e 8009271*2^1000005-1 301039 g396 2009 273 1611111*2^1000000+1 301037 p197 2007 274 1089927*2^1000000+1 301037 p197 2006 275 32883*2^1000004+1 301036 p86 2002 276 21*2^999599-1 300911 L56 2005 277 215*2^999170-1 300783 L323 2008 278 81*2^998065+1 300450 gt 2007 279 243*2^997537+1 300291 L165 2008 280 1515*2^996848-1 300085 L200 2007 281 351351*2^996709-1 300045 L80 2006 282 2^991961-2^495981+1 298611 x28 2005 Gaussian Mersenne norm 36 283 11*2^960901+1 289262 g277 2005 Divides Fermat F(960897) 284f 2*827^98511+1 287407 g404 2009 Divides Phi(827^98511,2) 285d 143717*96^143717+1 284892 g157 2009 Generalized Cullen 286c 113*2^916801+1 275987 L153 2009 Divides GF(916800,5), GF(916800,12) 287 3*2^916773+1 275977 g245 2001 Divides GF(916771,3), GF(916772,10) 288 43*2^894766+1 269354 g279 2006 Divides GF(894765,5) 289 11*2^886071+1 266735 g277 2005 Divides GF(886070,12) 290 2^859433-1 258716 SG 1994 Mersenne 33 291 Phi(3,1-3^267414)/3 255178 x28 2005 Generalized unique 292 35*2^831411+1 250282 g279 2006 Divides GF(831410,3) 293 229918*12^229918-1 248129 x37 2008 Generalized Woodall 294 5*2^819739+1 246767 g55 2001 Divides GF(819738,3) 295 7*2^811230+1 244206 g148 2002 Divides GF(811228,5) 296 9980*19^189621-1 242483 p237 2008 Generalized Woodall 297 7*2^804534+1 242190 g196 2003 Divides GF(804533,12) 298 3*2^801978+1 241420 g372 2005 Divides GF(801973,3), GF(801977,5) 299d 60205*2^782665-1 235611 p243 2009 Generalized Woodall 300 67*2^773566+1 232869 p227 2008 Divides GF(773564,5) 301 35*2^768063+1 231212 L126 2005 Divides GF(768062,3) 302 2^756839-1 227832 SG 1992 Mersenne 32 303 Phi(5,(3668*16001#-1)*(378266*16001#/5+1)^7) 221071 x34 2008 Generalized unique 304 59*2^727815+1 219096 p227 2008 Divides GF(727814,12) 305 3*2^709968+1 213723 g372 2005 Divides GF(709962,3), GF(709963,5) 306 75*2^705688+1 212436 p227 2008 Divides GF(705684,12) 307 Phi(3,-2322573^16384) 208601 p72 2008 Generalized unique 308 Phi(3,-2313516^16384) 208545 p72 2008 Generalized unique 309 Phi(3,-2182528^16384) 207716 f7 2007 Generalized unique 310 Phi(3,-2178996^16384) 207692 f7 2007 Generalized unique 311 2*683^73237+1 207585 g404 2008 Divides Phi(683^73237,2) 312 Phi(3,-2115084^16384) 207269 f7 2007 Generalized unique 313 Phi(3,-2110199^16384) 207236 f7 2007 Generalized unique 314 Phi(3,-2074507^16384) 206993 f7 2007 Generalized unique 315 Phi(3,-2029827^16384) 206683 f7 2006 Generalized unique 316 Phi(3,-1989801^16384) 206400 f7 2006 Generalized unique 317 Phi(3,-3898771219232^8192) 206290 f14 2007 Generalized unique 318 Phi(3,-3824990769800^8192) 206154 f14 2007 Generalized unique 319 Phi(3,-3804263911368^8192) 206116 f14 2007 Generalized unique 320 Phi(3,-1949616^16384) 206110 f7 2006 Generalized unique 321 13*2^684560+1 206075 g267 2003 Divides GF(684557,10), GF(684559,6) 322 Phi(3,-3775889401250^8192) 206062 f14 2007 Generalized unique 323 Phi(3,-3757143544200^8192) 206027 f14 2007 Generalized unique 324 Phi(3,-1932045^16384) 205981 f7 2006 Generalized unique 325 Phi(3,-1925507^16384) 205932 f7 2006 Generalized unique 326 Phi(3,-1910944^16384) 205824 f7 2006 Generalized unique 327 27*2^672007+1 202296 g279 2005 Divides Fermat F(672005) 328 667071*2^667071-1 200815 g55 2000 Woodall 329 2*419^76419+1 200388 g404 2007 Divides Phi(419^76419,2) 330 101670*91^101670+1 199181 g157 2005 Generalized Cullen 331 87258*182^87258+1 197215 g392 2006 Generalized Cullen 332 98035*10^196070+1 196075 g157 2007 Generalized Cullen 333 133736*3^401209-1 191431 p120 2004 Generalized Woodall 334 162454*15^162454-1 191066 p242 2009 Generalized Woodall 335 2*191^83009+1 189347 g404 2006 Divides Phi(191^83009,2) 336 146478*19^146478-1 187315 p237 2008 Generalized Woodall 337d 659*2^617815+1 185984 L732 2009 Divides Fermat F(617813) 338 2*131^86365+1 182859 g404 2007 Divides Phi(131^86365,2) 339 225*2^605172+1 182178 p43 2005 Generalized Fermat, divides GF(605169,3) 340 33*2^600270+1 180701 L126 2005 Divides GF(600269,5) 341 999999999*10^180230-1 180239 g208 2008 Near-repdigit 342 10^180004+248797842*10^89998+1 180005 D 2007 Palindrome 343 163*2^597474+1 179860 p43 2005 Divides GF(597473,3) 344e 351*2^588325+1 177107 L651 2009 Divides GF(588323,6) 345 195*2^585988+1 176403 p189 2007 Divides GF(585985,12) [K] 346 151*2^585044+1 176118 L446 2007 Divides Fermat F(585042) 347 10^175108+230767032*10^87550+1 175109 D 2007 Palindrome 348 45*2^574506+1 172946 g409 2007 Divides GF(574504,3) 349e 1143*2^573894+1 172763 L717 2009 Divides GF(573892,3) 350e 519*2^567235+1 170758 L656 2009 Divides Fermat F(567233) 351 10^170006+3880883*10^85000+1 170007 D 2006 Palindrome 352 392113#+1 169966 p16 2001 Primorial 353 13*2^562456+1 169318 g267 2003 Divides GF(562454,5) 354 7*2^561816+1 169125 g148 2003 Divides GF(561815,5); GF(561815,6) [p149] 355 243*2^555984+1 167371 L165 2007 Divides GF(555978,3) 356f 347*2^544887+1 164030 L679 2009 Divides GF(544886,5) 357 37510*3^337592+1 161077 p126 2006 Generalized Cullen 358d 2*1031^53111+1 160038 g404 2009 Divides Phi(1031^53111,2) 359 10^160016+8231328*10^80005+1 160017 D 2006 Palindrome 360 366439#+1 158936 p16 2001 Primorial 361 345*2^525977+1 158338 g258 2007 Divides GF(525974,6) 362 11*2^525589+1 158220 p116 2003 Divides GF(525588,6) 363 92278*50^92278+1 156783 g157 2008 Generalized Cullen 364 83660*72^83660-1 155390 g265 2003 Generalized Woodall 365 39*2^512997+1 154430 g267 2005 Divides GF(512994,5), GF(512995,6) 366 2*191^66971+1 152764 g404 2006 Divides Phi(191^66971,2) 367 56271*2^506439+1 152459 p243 2009 Generalized Cullen 368 2*431^56947+1 150026 g404 2007 Divides Phi(431^56947,2) 369 10^150008+4798974*10^75001+1 150009 D 2006 Palindrome 370 10^150006+7426247*10^75000+1 150007 p5 2005 Palindrome 371 2*1931^45605+1 149849 g404 2007 Divides Phi(1931^45605,2) 372 243*2^495732+1 149233 L165 2007 Divides Fermat F(495728), GF(495726,3), GF(495728,6), GF(495727,12) 373 81778*66^81778+1 148804 g157 2007 Generalized Cullen 374 481899*2^481899+1 145072 gm 1998 Cullen 375 2*599^51983+1 144380 g404 2008 Divides Phi(599^51983,2) 376 72048*10^144096+1 144101 g157 2005 Generalized Cullen 377 651*2^476632+1 143484 L668 2008 Divides Fermat F(476624) 378 34790!-1 142891 p85 2002 Factorial 379 89*2^472099+1 142118 p114 2004 Divides Fermat F(472097) 380c 88195*40^88195+1 141299 x37 2009 Generalized Cullen 381 64872*145^64872+1 140218 g142 2005 Generalized Cullen 382 10^140008+4546454*10^70001+1 140009 D 2005 Palindrome 383 2*191^61303+1 139835 g404 2006 Divides Phi(191^61303,2) [g187] 384 99*10^139670-1 139672 p200 2006 Near-repdigit 385 292340*3^292340-1 139488 p120 2004 Generalized Woodall 386 91848*33^91848+1 139478 g157 2006 Generalized Cullen 387 9*2^461081+1 138801 g122 2003 Divides Fermat F(461076), GF(461077,3), GF(461077,6), GF(461077,12) 388b 1791*2^460696+1 138687 p240 2009 Divides GF(460693,12) 389b 3203*2^459521+1 138334 L687 2009 Divides GF(459520,6) 390 61813*172^61813+1 138190 g407 2007 Generalized Cullen 391 45*2^458712+1 138088 L170 2007 Divides GF(458709,5), GF(458710,6) [K] 392 1061839*2^456790-1769267*2^340000-1 137514 p97 2007 Arithmetic progression (3,d=1061839*2^456789-1769267*2^340000) 393 1061839*2^456789-1 137514 L81 2005 Arithmetic progression (2,d=1061839*2^456789-1769267*2^340000) 394b 4377*2^456708+1 137487 L872 2009 Divides GF(456707,10) 395 76710*61^76710+1 136958 g157 2006 Generalized Cullen 396 62378*141^62378+1 134069 g407 2007 Generalized Cullen 397 74460*59^74460+1 131863 g157 2006 Generalized Cullen 398 2*863^44857+1 131701 g404 2008 Divides Phi(863^44857,2) 399 9*2^435743+1 131173 g122 2003 Divides GF(435742,10) 400 58897*166^58897+1 130763 g407 2007 Generalized Cullen 401 9999992*10^130127-1 130134 p200 2008 Near-repdigit 402 10^130048+(9*10^37077-2)/11*10^46486+1 130049 p235 2008 Tetradic palindrome 403 10^130036+116010611*10^65014+1 130037 D 2004 Palindrome 404 10^130022+3761673*10^65008+1 130023 D 2004 Palindrome 405 2*683^45797+1 129809 g404 2008 Divides Phi(683^45797,2) 406 17*2^429319-197*2^202534-1 129240 p162 2005 Arithmetic progression (3,d=17*2^429318-197*2^202534) 407 17*2^429318-1 129239 g267 2003 Arithmetic progression (2,d=17*2^429318-197*2^202534) [p162] 408 10^127576+1081101080188810801011801*10^63776+1 127577 p185 2006 Tetradic, palindrome 409 2*23^93337+1 127100 gb1 2006 Divides Phi(23^93337,2) 410 2*4523^34421+1 125824 gb1 2004 Divides Phi(4523^34421,2) 411 88900*26^88900+1 125797 g157 2005 Generalized Cullen 412 70615*60^70615+1 125569 g157 2008 Generalized Cullen 413 2*359^49071+1 125382 g404 2007 Divides Phi(359^49071,2) 414 2*251^51905+1 124556 gb2 2006 Divides Phi(251^51905,2) 415 61652*103^61652-1 124101 p120 2004 Generalized Woodall 416 1207*2^410108+1 123458 g380 2005 Divides Fermat F(410105) 417 2*4079^33873+1 122301 gb2 2007 Divides Phi(4079^33873,2) 418 15*2^403929+1 121596 p114 2002 Divides GF(403927,10) 419 36635*1960^36635-1 120617 p117 2003 Generalized Woodall 420 10^120016+1726271*10^60005+1 120017 D 2004 Palindrome 421 10^120002+1617161*10^59998+1 120003 D 2004 Palindrome 422 3*10^119292-1 119293 p135 2006 Near-repdigit 423 69*2^394574+1 118781 p219 2008 Divides GF(394572,12) 424 91850*19^91850-1 117459 p237 2008 Generalized Woodall 425 92711*18^92711-1 116383 p242 2009 Generalized Woodall 426 64227*2^385362-1 116011 p77 2003 Generalized Woodall 427 2*491^42801+1 115182 g404 2007 Divides Phi(491^42801,2) 428 3*2^382449+1 115130 g132 1999 Divides Fermat F(382447), GF(382447,3), GF(382447,12), GF(382443,6) 429 119*2^376951+1 113476 g233 2006 Divides GF(376950,12) 430 145359*6^145359-1 113117 p234 2008 Generalized Woodall 431 8511*2^374486-1 112736 p77 2003 Generalized Woodall 432 45*2^368554-405769059*2^180009-1 110948 p108 2003 Arithmetic progression (3,d=45*2^368553-405769059*2^180009) 433 45*2^368553-1 110948 L4 2003 Arithmetic progression (2,d=45*2^368553-405769059*2^180009) [p108] 434 2^364289-2^182145+1 109662 p58 2001 Gaussian Mersenne norm 35 435 3*2^362765+1 109204 g245 2002 Divides GF(362763,12), GF(362764,10) 436 2*8039^27953+1 109163 gb1 2004 Divides Phi(8039^27953,2) 437 75*2^361614+1 108859 p114 2004 Divides GF(361612,10) 438 361275*2^361275+1 108761 DS 1998 Cullen 439 995*10^107888-1 107891 p218 2007 Near-repdigit 440 26951!+1 107707 p65 2002 Factorial 441 17883*2^357662-1 107672 p103 2003 Generalized Woodall 442 9*10^107663-1 107664 p122 2004 Near-repdigit 443 65555*42^65555-1 106417 p239 2008 Generalized Woodall 444 10^105022+523111325*10^52507+1 105023 D 2008 Palindrome 445 10^105018+920383029*10^52505+1 105019 D 2008 Palindrome 446 10^105016+318939813*10^52504+1 105017 D 2008 Palindrome 447 10^105014+682787286*10^52503+1 105015 D 2008 Palindrome 448 10^105014+424787424*10^52503+1 105015 D 2008 Palindrome 449 10^105012+560949065*10^52502+1 105013 D 2008 Palindrome 450 10^105012+432909234*10^52502+1 105013 D 2008 Palindrome 451 10^104281-10^52140-1 104281 p16 2003 Near-repdigit, palindrome 452 163*2^343190+1 103313 g258 2005 Divides GF(343189,10) 453 1769267*2^340000-1 102357 L4 2003 Arithmetic progression (1,d=1061839*2^456789-1769267*2^340000) 454 485*2^338297+1 101841 L203 2007 Divides Fermat F(338295) [K] 455 28782838101*2^333333-1 100354 L453 2007 Arithmetic progression (3,d=3371818539*2^333335) [g282] 456 26273597661*2^333333-1 100354 L329 2007 Arithmetic progression (3,d=38478921*2^333341) [g282] 457 16422993885*2^333333-1 100354 L392 2007 Arithmetic progression (2,d=38478921*2^333341) [g282] 458 15295563945*2^333333-1 100354 L271 2007 Arithmetic progression (2,d=3371818539*2^333335) [g282] 459 14470366551*2^333333-1 100354 L315 2007 Arithmetic progression (1,d=168667635*2^333334) [g348] 460 6572390109*2^333333-1 100354 L255 2007 Arithmetic progression (1,d=38478921*2^333341) [g282] 461 1808289789*2^333333-1 100353 L212 2007 Arithmetic progression (1,d=3371818539*2^333335) [g282] 462 54528*69^54528-1 100274 p120 2004 Generalized Woodall 463 10^100000-10^61403-1 100000 p62 2001 Near-repdigit 464 46225*116^46225-1 95435 p120 2003 Generalized Woodall 465 10^95019-10^47509-1 95019 p16 2003 Near-repdigit, palindrome 466 99999*10^94039-1 94044 p199 2006 Near-repdigit 467 891*2^311033+1 93634 p114 2005 Divides GF(311032,10) 468 99999*10^92226-1 92231 p199 2006 Near-repdigit 469 9*2^304607+1 91697 g23 1998 Divides GF(304604,6) 470 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] 471 48820*72^48820-1 90680 p110 2003 Generalized Woodall 472 15*2^300488+1 90458 p114 2002 Divides GF(300479,6), GF(300484,10) 473 99995*10^87092-1 87097 p199 2006 Near-repdigit 474 211*2^287388+1 86515 p43 2004 Divides Fermat F(287384) 475 5*10^85142-1 85143 g243 2005 Near-repdigit 476 51*2^282719+1 85109 g196 2002 Divides Fermat F(282717) 477 21480!-1 83727 p65 2001 Factorial 478 41*2^274897+1 82754 g305 2004 Divides GF(274896,10) 479 63*2^270094+1 81309 gt 2002 Divides Fermat F(270091) 480 (10^40293-1)^2-2 80586 p48 2004 Near-repdigit 481 262419*2^262419+1 79002 DS 1998 Cullen 482 5*10^78790-1 78791 g243 2005 Near-repdigit 483 8*10^74318-1 74319 g243 2004 Near-repdigit 484 99995*10^73668-1 73673 p199 2006 Near-repdigit 485 10^72500-7*10^25509-1 72500 p48 2003 Near-repdigit 486 96*10^71600-1 71602 p194 2006 Near-repdigit 487 99998*10^69842-1 69847 p199 2006 Near-repdigit 488 2^216091-1 65050 S 1985 Mersenne 31 489 3*2^213321+1 64217 Y 1997 Divides Fermat F(213319); GF(213319,5), GF(213316,6), GF(213319,12) [g0] 490 145823#+1 63142 p21 2000 Primorial 491 659*2^204273+1 61496 p161 2005 Divides GF(204271,10) 492 2^203789+2^101895+1 61347 O 2000 Gaussian Mersenne norm 34 493 197*2^202534-1 60972 L40 2004 Arithmetic progression (1,d=17*2^429318-197*2^202534) [p162] 494 2003663613*2^195000+1 58711 L202 2007 Twin (p+2) 495 2003663613*2^195000-1 58711 L202 2007 Twin (p) 496 48047305725*2^172404-1 51910 L99 2007 Sophie Germain (2p+1) 497 48047305725*2^172403-1 51910 L99 2007 Sophie Germain (p) 498 137211941292195*2^171961-1 51780 x24 2006 Sophie Germain (2p+1) 499 194772106074315*2^171960+1 51780 x24 2007 Twin (p+2) 500 194772106074315*2^171960-1 51780 x24 2007 Twin (p) 501 137211941292195*2^171960-1 51780 x24 2006 Sophie Germain (p) 502 100314512544015*2^171960+1 51780 x24 2006 Twin (p+2) 503 100314512544015*2^171960-1 51780 x24 2006 Twin (p) 504 16869987339975*2^171960+1 51779 x24 2005 Twin (p+2) 505 16869987339975*2^171960-1 51779 x24 2005 Twin (p) 506 33218925*2^169690+1 51090 g259 2002 Twin (p+2) 507 33218925*2^169690-1 51090 g259 2002 Twin (p) 508 2^160423-2^80212+1 48293 O 2000 Gaussian Mersenne norm 33 509 primV(40395,-1,15588) 47759 x23 2007 Generalized Lucas primitive part 510 3*2^157169+1 47314 Y 1995 Divides Fermat F(157167); GF(157167,3), GF(157168,5), GF(157163,6), GF(157168,10), GF(157167,12) [g0] 511 primV(53394,-1,15264) 47200 CH4 2007 Generalized Lucas primitive part 512 151023*2^151023-1 45468 g25 1998 Woodall 513 71509*2^143019-1 43058 g23 1998 Woodall, arithmetic progression (2,d=(143018*2^83969-80047)*2^59049) [x12] 514 2^132049-1 39751 S 1983 Mersenne 30 515 371*2^127419+1 38360 g50 2001 Divides GF(127416,10) 516b 33759183*2^123459-1 37173 L527 2009 Sophie Germain (2p+1) 517b 33759183*2^123458-1 37173 L527 2009 Sophie Germain (p) 518 (28839^8317-1)/28838 37090 CH6 2006 Generalized repunit 519 7068555*2^121302-1 36523 L100 2005 Sophie Germain (2p+1) 520 7068555*2^121301-1 36523 L100 2005 Sophie Germain (p) 521 307259241*2^115599+1 34808 g336 2009 Twin (p+2) 522 307259241*2^115599-1 34808 g336 2009 Twin (p) 523 primV(38513,-1,11502) 34668 x23 2006 Generalized Lucas primitive part 524 2540041185*2^114730-1 34547 g294 2003 Sophie Germain (2p+1) 525 2540041185*2^114729-1 34547 g294 2003 Sophie Germain (p) 526 60194061*2^114689+1 34533 g294 2002 Twin (p+2) 527 60194061*2^114689-1 34533 g294 2002 Twin (p) 528 primV(9008,1,16200) 34168 x23 2005 Generalized Lucas primitive part 529 2^110503-1 33265 WC 1988 Mersenne 29 530 108615*2^110342+1 33222 L113 2008 Twin (p+2) 531 108615*2^110342-1 33222 L113 2008 Twin (p) 532 1124044292325*2^108000-1 32524 L99 2006 Sophie Germain (2p+1) 533 1124044292325*2^107999-1 32523 L99 2006 Sophie Germain (p) 534 112886032245*2^108001-1 32523 L99 2006 Sophie Germain (2p+1) 535 112886032245*2^108000-1 32523 L99 2006 Sophie Germain (p) 536 1765199373*2^107520+1 32376 g182 2002 Twin (p+2) 537 1765199373*2^107520-1 32376 g182 2002 Twin (p) 538 318032361*2^107001+1 32220 p100 2001 Twin (p+2) 539 318032361*2^107001-1 32220 p100 2001 Twin (p) 540 2^106693+2^53347+1 32118 O 2000 Gaussian Mersenne norm 32 541 primV(10987,1,14400) 31034 x25 2005 Generalized Lucas primitive part 542 156733989*2^100007+1 30114 L95 2008 Twin (p+2) 543 156733989*2^100007-1 30114 L95 2008 Twin (p) 544 1046619117*2^100000+1 30113 L467 2007 Twin (p+2) 545 1046619117*2^100000-1 30113 L467 2007 Twin (p) 546 49363*2^98727-1 29725 Y 1997 Woodall 547 U(2341,-1,8819) 29712 x25 2008 Generalized Lucas number 548 18912879*2^98396-1 29628 p94 2002 Sophie Germain (2p+1) 549 18912879*2^98395-1 29628 p94 2002 Sophie Germain (p) 550 1807318575*2^98305+1 29603 g216 2001 Twin (p+2) 551 1807318575*2^98305-1 29603 g216 2001 Twin (p) 552 primV(24127,-1,6718) 29433 CH3 2005 Generalized Lucas primitive part 553c primV(205011) 28552 x39 2009 Lucas primitive part 554 U(16531,1,6721)-U(16531,1,6720) 28347 x36 2007 Lehmer number 555 90825*2^90825+1 27347 Y 1997 Cullen 556 primV(5673,1,13500) 27028 CH3 2005 Generalized Lucas primitive part 557 3364553235*2^88889-1 26768 L652 2009 Sophie Germain (2p+1) 558 3364553235*2^88888-1 26768 L652 2009 Sophie Germain (p) 559 primV(44368,1,9504) 26768 CH3 2005 Generalized Lucas primitive part 560 primV(10986,-1,9756) 26185 x23 2005 Generalized Lucas primitive part 561 2^86243-1 25962 S 1982 Mersenne 28 562 primV(11076,-1,12000) 25885 x25 2005 Generalized Lucas primitive part 563 2^85237+2^42619+1 25659 x16 2000 Gaussian Mersenne norm 31 564 primV(42,-1,23376) 25249 x23 2007 Generalized Lucas primitive part 565 primV(7577,-1,10692) 25140 x33 2007 Generalized Lucas primitive part 566 primV(44573,-1,10125) 25105 CH4 2007 Generalized Lucas primitive part 567 10495740081*2^83126-1 25034 L99 2006 Sophie Germain (2p+1) 568 10495740081*2^83125-1 25034 L99 2006 Sophie Germain (p) 569 7473214125*2^83125+1 25033 L99 2006 Twin (p+2) 570 7473214125*2^83125-1 25033 L99 2006 Twin (p) 571 11694962547*2^83124+1 25033 L99 2006 Twin (p+2) 572 11694962547*2^83124-1 25033 L99 2006 Twin (p) 573 58950603*2^83130+1 25033 L99 2006 Twin (p+2) 574 58950603*2^83130-1 25033 L99 2006 Twin (p) 575 1030739199*2^82019+1 24700 g258 2009 Twin (p+2) 576 1030739199*2^82019-1 24700 g258 2009 Twin (p) 577 61078155*2^82003-1 24694 L99 2006 Sophie Germain (2p+1) 578 61078155*2^82002-1 24693 L99 2006 Sophie Germain (p) 579 primV(19285,1,10800) 24683 x25 2005 Generalized Lucas primitive part 580 (13096^5953-1)/13095 24506 CH6 2007 Generalized repunit 581 1213822389*2^81132-1 24433 g250 2002 Sophie Germain (2p+1) 582 1213822389*2^81131-1 24432 g250 2002 Sophie Germain (p) 583 primV(2425,1,13500) 24370 x23 2006 Generalized Lucas primitive part 584 5583295473*2^80828+1 24342 g336 2006 Twin (p+2) 585 5583295473*2^80828-1 24342 g336 2006 Twin (p) 586 134583*2^80828+1 24337 L99 2005 Twin (p+2) 587 134583*2^80828-1 24337 L99 2005 Twin (p) 588 665551035*2^80025+1 24099 g216 2000 Twin (p+2) 589 665551035*2^80025-1 24099 g216 2000 Twin (p) 590 3853775193*2^80001+1 24093 L109 2007 Cunningham chain 2nd kind (2p-1) 591 3853775193*2^80000+1 24092 L109 2007 Cunningham chain 2nd kind (p) 592 primV(14261,1,10800) 23928 x23 2005 Generalized Lucas primitive part 593 primV(13964,1,8856) 23876 CH3 2005 Generalized Lucas primitive part 594 primV(3464,1,6722) 23786 x23 2006 Generalized Lucas primitive part 595 1504084599*2^78342+1 23593 g290 2004 Cunningham chain 2nd kind (2p-1) 596 964487139*2^78342+1 23593 g290 2004 Cunningham chain 2nd kind (2p-1) 597 1504084599*2^78341+1 23593 g290 2004 Cunningham chain 2nd kind (p) 598 964487139*2^78341+1 23592 g290 2004 Cunningham chain 2nd kind (p) 599 6917!-1 23560 g1 1998 Factorial 600c (89^11971-1)/88 23335 CH2 2009 Generalized repunit 601 (23151^5347-1)/23150 23333 c13 2008 Generalized repunit 602 2^77291+2^38646+1 23267 O 2000 Gaussian Mersenne norm 30 603 primV(3711,1,9882) 23131 x25 2005 Generalized Lucas primitive part 604 (5855^6121-1)/5854 23058 CH1 2005 Generalized repunit 605 primV(20384,1,5281) 22754 x25 2003 Generalized Lucas primitive part, cyclotomy 606 64670473*2^74147+3 22329 L446 2009 Sophie Germain (2p+1) 607 64670473*2^74146+1 22328 L446 2009 Sophie Germain (p) 608 U(19258,-1,5039) 21586 x23 2007 Generalized Lucas number 609 6380!+1 21507 g1 1998 Factorial 610 U(15631,1,5040)-U(15631,1,5039) 21134 x25 2003 Lehmer number 611 2566851867*2^70002-1 21083 L109 2007 Sophie Germain (2p+1) 612 2566851867*2^70001-1 21082 L109 2007 Sophie Germain (p) 613 ((((((2521008887^3+80)^3+12)^3+450)^3+894)^3+3636)^3+70756)^3+97220 20562 FE1 2006 ECPP, Mills' prime 614 U(11200,-1,5039) 20400 x25 2004 Generalized Lucas number, cyclotomy 615 1040131975*2^66459+3 20016 g258 2007 Sophie Germain (2p+1) 616 1040131975*2^66458+1 20015 g258 2007 Sophie Germain (p) 617 109433307*2^66453-1 20013 g205 2001 Sophie Germain (2p+1) 618 109433307*2^66452-1 20013 g205 2001 Sophie Germain (p) 619 984798015*2^66445-1 20011 g205 2001 Sophie Germain (2p+1) 620 984798015*2^66444-1 20011 g205 2001 Sophie Germain (p) 621 (9473^4969-1)/9472 19756 CH2 2008 Generalized repunit 622 (14261^4663-1)/14260 19367 c13 2007 Generalized repunit 623 U(6584,-1,5039) 19238 x23 2007 Generalized Lucas number 624 (13782^4591-1)/13781 19000 c13 2007 Generalized repunit 625 (15637^4513-1)/15636 18925 c13 2007 Generalized repunit 626 42209#+1 18241 p8 1999 Primorial 627 3714089895285*2^60001-1 18075 IJW 2000 Sophie Germain (2p+1) 628 3714089895285*2^60000-1 18075 IJW 2000 Sophie Germain (p) 629 7457*2^59659+1 17964 Y 1997 Cullen 630 (18067^4201-1)/18066 17879 c13 2002 Generalized repunit 631 3379174665*2^58503-1 17621 L402 2008 Sophie Germain (2p+1) 632 3379174665*2^58502-1 17621 L402 2008 Sophie Germain (p) 633 (19026^4051-1)/19025 17332 c13 2008 Generalized repunit 634 U(9657,1,4321)-U(9657,1,4320) 17215 x23 2005 Lehmer number 635 909004827*2^56790-1 17105 g336 2005 Sophie Germain (2p+1) 636 787302705*2^56790+1 17105 g336 2005 Cunningham chain 2nd kind (2p-1) 637 909004827*2^56789-1 17105 g336 2005 Sophie Germain (p) 638 787302705*2^56789+1 17105 g336 2005 Cunningham chain 2nd kind (p) 639 U(81839) 17103 p54 2001 Fibonacci number 640 (4735^4621-1)/4734 16980 CH3 2005 Generalized repunit 641 (11031^4177-1)/11030 16882 p54 2005 Generalized repunit 642 U(15823,1,3960)-U(15823,1,3959) 16625 x25 2002 Lehmer number, cyclotomy 643 U(10803,1,4081)-U(10803,1,4080) 16457 x25 2005 Lehmer number, cyclotomy 644 U(11091,-1,4049) 16375 CH3 2005 Generalized Lucas number 645 U(2554,-1,4751) 16185 CH3 2005 Generalized Lucas number 646 U(1599,-1,5039) 16141 x23 2007 Generalized Lucas number 647 40931485*2^53124-3 16000 p222 2007 Cunningham chain 2nd kind (2p-1) 648 40931485*2^53123-1 16000 p222 2007 Cunningham chain 2nd kind (p) 649 U(10853,1,3960)+U(10853,1,3959) 15977 x25 2002 Lehmer number, cyclotomy 650 U(9667,1,3960)-U(9667,1,3959) 15778 x25 2002 Lehmer number, cyclotomy 651 U(14257,-1,3779) 15694 x25 2004 Generalized Lucas number, cyclotomy 652c (U(9275,1,3961)+U(9275,1,3960))/(U(9275,1,45)+U(9275,1,44)) 15537 x38 2009 Lehmer primitive part 653 (15134^3697-1)/15133 15450 CH6 2007 Generalized repunit 654 (16339^3613-1)/16338 15219 c13 2008 Generalized repunit 655 2638^4405+4405^2638 15071 FE3 2004 ECPP 656 (4018^4177-1)/4017 15051 c13 2008 Generalized repunit 657 (7372^3889-1)/7371 15038 CH6 2007 Generalized repunit 658 U(8747,1,3780)+U(8747,1,3779) 14897 x25 2005 Lehmer number 659e (2147483647^1597-1)/1361551397315358942 14885 FE7 2009 ECPP 660 U(25700,1,3360)+U(25700,1,3359) 14813 x25 2004 Lehmer number, cyclotomy 661 2^49207-2^24604+1 14813 x16 2000 Gaussian Mersenne norm 29 662 (15679^3499-1)/15678 14676 x25 2003 Generalized repunit 663 U(1493,-1,4621) 14665 CH3 2005 Generalized Lucas number 664 U(4951,1,3960)-U(4951,1,3959) 14628 CH3 2005 Lehmer number 665 (2728^4231-1)/2727 14534 c13 2007 Generalized repunit 666 U(12924,-12925,3499) 14382 x25 2005 Generalized Lucas number 667 (8185^3673-1)/8184 14369 c13 2003 Generalized repunit 668 U(12113,-1,3499) 14284 CH3 2005 Generalized Lucas number 669 U(5192,1,3841)-U(5192,1,3840) 14267 x23 2005 Lehmer number 670 U(2441,-1,4201) 14228 CH3 2005 Generalized Lucas number 671 U(3865,1,3960)+U(3865,1,3959) 14202 x25 2002 Lehmer number, cyclotomy 672 U(3645,1,3841)-U(3645,1,3840) 13677 x25 2005 Lehmer number 673 U(11194,-11195,3361) 13605 x25 2004 Generalized Lucas number 674 U(2219,-1,4049) 13546 CH3 2005 Generalized Lucas number 675 U(475,-1,5039) 13486 x25 2003 Generalized Lucas number, cyclotomy 676 U(7644,1,3421)-U(7644,1,3420) 13281 CH3 2005 Lehmer number 677 U(10206,1,3276)-U(10206,1,3275) 13130 x23 2005 Lehmer number 678 U(7537,-7538,3361) 13028 x23 2007 Generalized Lucas number 679 U(7512,-7513,3361) 13023 x25 2004 Generalized Lucas number 680 U(2783,-1,3779) 13014 CH3 2005 Generalized Lucas number 681 U(7128,-1,3361) 12946 x25 2004 Generalized Lucas number, cyclotomy 682 (2^42737+1)/3 12865 M 2007 ECPP, generalized Lucas number, Wagstaff 683 U(12159,1,3150)-U(12159,1,3149) 12864 x25 2005 Lehmer number, cyclotomy 684 U(5485,1,3421)+U(5485,1,3420) 12788 CH3 2005 Lehmer number 685 (V(49596,1,3375)+1)/(V(49596,1,675)+1) 12678 x25 2006 Lehmer primitive part 686 (V(47025,1,3375)-1)/(V(47025,1,675)-1) 12616 x25 2006 Lehmer primitive part 687 (V(44524,1,3375)-1)/(V(44524,1,675)-1) 12552 x23 2006 Lehmer primitive part 688 U(6393,1,3276)-U(6393,1,3275) 12464 x25 2005 Lehmer number, cyclotomy 689 (V(37511,1,3375)-1)/(V(37511,1,675)-1) 12351 x25 2006 Lehmer primitive part 690 (V(32362,1,3375)+1)/(V(32362,1,675)+1) 12178 x23 2006 Lehmer primitive part 691 U(4857,1,3300)-U(4857,1,3299) 12162 x25 2005 Lehmer number, cyclotomy 692 (V(30226,1,3375)-1)/(V(30226,1,675)-1) 12098 x25 2006 Lehmer primitive part 693 primV(57724) 12063 p54 2001 Lucas primitive part, cyclotomy 694 U(5989,1,3169)-U(5989,1,3168) 11967 x25 2005 Lehmer number 695 111871891*27751#+1 11961 p155 2008 Arithmetic progression (4,d=3624707*27751#) 696 103098395*27751#+1 11961 p155 2007 Arithmetic progression (4,d=809963*27751#) 697 102293041*27751#+1 11961 p155 2007 Arithmetic progression (4,d=412064*27751#) 698 V(56003) 11704 p193 2006 Lucas number 699 primU(67825) 11336 x23 2007 Fibonacci primitive part 700 3610!-1 11277 C 1993 Factorial 701 (V(11258,1,3375)+1)/(V(11258,1,675)+1) 10939 x23 2006 Lehmer primitive part 702 3507!-1 10912 C 1992 Factorial 703 (V(10638,1,3375)-1)/(V(10638,1,675)-1) 10873 x25 2006 Lehmer primitive part 704 (V(983,1,3609)-1)/(V(983,1,9)-1) 10774 x23 2006 Lehmer primitive part 705 primV(77058) 10729 CH3 2005 Lucas primitive part 706 (V(9352,1,3375)+1)/(V(9352,1,675)+1) 10722 x25 2005 Lehmer primitive part 707 V(51169) 10694 p54 2001 Lucas number 708 U(50833) 10624 CH4 2005 Fibonacci number 709 46915147*2^35000+1 10544 p43 2007 Arithmetic progression (4,d=9548007*2^35000) 710 (V(7792,1,3375)-1)/(V(7792,1,675)-1) 10508 x25 2006 Lehmer primitive part 711 primV(77841) 10496 x25 2005 Lucas primitive part 712 (V(812,1,3609)+1)/(V(812,1,9)+1) 10475 x25 2006 Lehmer primitive part 713 24029#+1 10387 C 1993 Primorial 714d 6*Bern(4306)/2153 10342 FE8 2009 Irregular, ECPP 715 23801#+1 10273 C 1993 Primorial 716e 59056921173*2^34030+7 10255 FE6 2009 ECPP 717c (U(11987,1,2521)-U(11987,1,2520))/(U(11987,1,36)-U(11987,1,35)) 10136 x38 2009 Lehmer primitive part 718 1234^3265+3265^1234 10094 FE1 2005 ECPP 719c Phi(427,-10^28) 10081 FE9 2009 Unique, ECPP 720 2739^2930+2930^2739 10073 FE1 2005 ECPP 721 2072644824759*2^33333+5 10047 FE5 2008 Triplet (3), ECPP 722 2072644824759*2^33333+1 10047 L645 2008 Triplet (2) 723 2072644824759*2^33333-1 10047 L645 2008 Triplet (1) 724 409331735*2^33333+1 10043 p155 2007 Arithmetic progression (4,d=104086947*2^33333) 725 648^3571+3571^648 10041 M 2003 ECPP 726 10^9999+33603 10000 FE2 2003 ECPP 727c (U(10227,1,2521)+U(10227,1,2520))/(U(10227,1,36)+U(10227,1,35)) 9965 x38 2009 Lehmer primitive part 728 (V(8259,1,2517)-1)/(V(8259,1,3)-1) 9848 x25 2005 Lehmer primitive part 729 32469*2^32469+1 9779 MM 1997 Cullen 730 8073*2^32294+1 9726 MM 1997 Cullen 731c (U(6954,1,2521)-U(6954,1,2520))/(U(6954,1,36)-U(6954,1,35)) 9548 x38 2009 Lehmer primitive part 732 V(44507) 9302 CH3 2005 Lucas number 733 2658^2659+2659^2658 9106 FE1 2005 ECPP 734 13^8148+2716^2197 9077 M 2005 ECPP 735 (V(2247,1,3375)-1)/(V(2247,1,675)-1) 9050 x25 2006 Lehmer primitive part 736 (V(3798,1,2529)-1)/(V(3798,1,9)-1) 9021 x25 2006 Lehmer primitive part 737 2319^2680+2680^2319 9020 M 2004 ECPP 738 (V(8162,1,2307)-1)/(V(8162,1,3)-1) 9013 x25 2005 Lehmer primitive part 739 2^27529-2^13765+1 8288 O 2000 Gaussian Mersenne norm 28 740 primV(39124) 8176 CH3 2005 Lucas primitive part 741 1647^2518+2518^1647 8100 FE1 2005 ECPP 742 197^3514+3514^197 8063 M 2004 ECPP 743 1995^2438+2438^1995 8046 FE1 2003 ECPP 744 18523#+1 8002 D 1989 Primorial 745 10094619255896577743...(7956 other digits)...63761949451171033763 7996 FE1 2005 Stop gap, ECPP 746 10094619255896577743...(7956 other digits)...63761949451170696317 7996 FE1 2005 Start gap, ECPP 747 164210699973*2^26328-1 7937 p158 2006 Cunningham chain (4p+3) 748 164210699973*2^26327-1 7937 p158 2006 Cunningham chain (2p+1) 749 164210699973*2^26326-1 7937 p158 2006 Cunningham chain (p) 750 U(37511) 7839 x13 2005 Fibonacci number 751 -E(2762)/2670541 7760 c11 2004 Euler irregular, ECPP 752 V(36779) 7687 CH3 2005 Lucas number 753 197418203*2^25000+6089 7535 FE4 2005 ECPP, consecutive primes arithmetic progression (3,d=6090) 754 197418203*2^25000-1 7535 p164 2005 Consecutive primes arithmetic progression (2,d=6090) 755 197418203*2^25000-6091 7535 FE4 2005 ECPP, consecutive primes arithmetic progression (1,d=6090) 756 U(35999) 7523 p54 2001 Fibonacci number, cyclotomy 757 V(35449) 7409 p12 2001 Lucas number 758 87*2^24582+2579 7402 c31 2004 ECPP, consecutive primes arithmetic progression (3,d=1290) 759 87*2^24582+1289 7402 c31 2004 ECPP, consecutive primes arithmetic progression (2,d=1290) 760 87*2^24582-1 7402 g106 1999 Consecutive primes arithmetic progression (1,d=1290) [c31] 761 V(34759)/27112021 7257 c33 2005 Lucas cofactor, ECPP 762 Phi(9455,-10) 7200 c33 2005 Unique, ECPP 763e 164084347*16229#+1 7009 p155 2009 Arithmetic progression (5,d=20333209*16229#) 764 primA(82975) 6935 p54 2001 Lucas Aurifeuillian primitive part 765 23005*2^23005-1 6930 Y 1997 Woodall 766 22971*2^22971-1 6920 Y 1997 Woodall 767 2852851249*16001#/5+1 6913 p199 2008 Arithmetic progression (5,d=2653152*16001#) 768 2399771561*16001#/5+1 6913 p199 2008 Arithmetic progression (5,d=86574302*16001#) 769 1638535589*16001#/5+1 6913 p199 2008 Arithmetic progression (5,d=2003735*16001#) 770d Phi(2405,-10000) 6912 c47 2009 Unique,ECPP 771 15877#-1 6845 CD 1992 Primorial 772 Phi(10887,10) 6841 c33 2005 Unique, ECPP 773 primV(48381) 6741 x23 2005 Lucas primitive part 774 primU(40295) 6737 p12 2001 Fibonacci primitive part 775 primV(39700) 6621 p54 2001 Lucas primitive part 776 U(30757) 6428 p54 2001 Fibonacci number, cyclotomy 777 U(30671)/1141737296775689 6395 c41 2005 Fibonacci cofactor, ECPP 778 Phi(7357,-10) 6301 c33 2004 Unique, ECPP 779 Phi(6437,10) 6240 c47 2008 Unique, ECPP 780 5612052289*14489#/5+5 6223 c18 2008 Triplet (3), ECPP 781 5612052289*14489#/5+1 6223 p41 2008 Triplet (2) 782 5612052289*14489#/5-1 6223 p41 2008 Triplet (1) 783 4811*2^20219+1 6091 DM 1996 Consecutive primes arithmetic progression (3,d=3738) [c36] 784 4811*2^20219-3737 6091 c36 2004 ECPP, consecutive primes arithmetic progression (2,d=3738) 785 4811*2^20219-7475 6091 c36 2004 ECPP, consecutive primes arithmetic progression (1,d=3738) 786 3020255265*2^20025-1 6038 p133 2005 Cunningham chain (4p+3) 787 3020255265*2^20024-1 6038 p133 2005 Cunningham chain (2p+1) 788 3020255265*2^20023-1 6038 p133 2005 Cunningham chain (p) 789 primV(28844) 6028 p12 2001 Lucas primitive part 790 13649#+1 5862 D 1987 Primorial 791 18885*2^18885-1 5690 K 1987 Woodall 792 1963!-1 5614 CD 1992 Factorial 793 13033#-1 5610 CD 1992 Primorial 794c p(25102542) 5574 c39 2009 Partitions, ECPP 795 289*2^18502+1 5573 K 1984 Cullen, generalized Fermat 796 p(24512858) 5508 c42 2007 Partitions, ECPP 797 p(24503300) 5507 c42 2007 Partitions, ECPP 798 U(25561) 5342 p54 2001 Fibonacci number 799 p(23028252) 5338 c42 2008 Partitions, ECPP 800 p(23010067) 5336 c42 2007 Partitions, ECPP 801 primV(25504) 5324 F3 2001 Lucas primitive part, APR-CL assisted 802 p(22312025) 5254 c39 2007 Partitions, ECPP 803 2366867925*2^17208+1 5190 p133 2004 Cunningham chain 2nd kind (4p-3) 804 (99241437759*205881*4001#*(205881*4001#+1)+210)*(205881*4001#-1)/35+7 5132 p179 2006 Triplet (3) 805 (99241437759*205881*4001#*(205881*4001#+1)+210)*(205881*4001#-1)/35+5 5132 p179 2006 Triplet (2) 806 (99241437759*205881*4001#*(205881*4001#+1)+210)*(205881*4001#-1)/35+1 5132 p179 2006 Triplet (1) 807 (91456744909*205881*4001#*(205881*4001#+1)+210)*(205881*4001#-1)/35+11 5132 p179 2006 Triplet (3) 808 (91456744909*205881*4001#*(205881*4001#+1)+210)*(205881*4001#-1)/35+7 5132 p179 2006 Triplet (2) 809 (91456744909*205881*4001#*(205881*4001#+1)+210)*(205881*4001#-1)/35+5 5132 p179 2006 Triplet (1) 810 (84055657369*205881*4001#*(205881*4001#+1)+210)*(205881*4001#-1)/35+13 5132 p179 2006 Consecutive primes arithmetic progression (3,d=6) 811 (84055657369*205881*4001#*(205881*4001#+1)+210)*(205881*4001#-1)/35+7 5132 p179 2006 Consecutive primes arithmetic progression (2,d=6) 812 (84055657369*205881*4001#*(205881*4001#+1)+210)*(205881*4001#-1)/35+1 5132 p179 2006 Consecutive primes arithmetic progression (1,d=6) 813 (63140956174*205881*4001#*(205881*4001#+1)+210)*(205881*4001#-1)/35+7 5132 p179 2005 Triplet (3) 814 (63140956174*205881*4001#*(205881*4001#+1)+210)*(205881*4001#-1)/35+5 5132 p179 2005 Triplet (2) 815 (63140956174*205881*4001#*(205881*4001#+1)+210)*(205881*4001#-1)/35+1 5132 p179 2005 Triplet (1) 816 (61310346529*205881*4001#*(205881*4001#+1)+210)*(205881*4001#-1)/35+13 5132 p179 2005 Consecutive primes arithmetic progression (3,d=6) 817 (61310346529*205881*4001#*(205881*4001#+1)+210)*(205881*4001#-1)/35+7 5132 p179 2005 Consecutive primes arithmetic progression (2,d=6) 818 (61310346529*205881*4001#*(205881*4001#+1)+210)*(205881*4001#-1)/35+1 5132 p179 2005 Consecutive primes arithmetic progression (1,d=6) 819 (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)) 820 (2^17029-1)/418879343 5118 c8 2006 Mersenne cofactor, ECPP 821 33957462*Bern(2370)/40685 5083 c11 2003 Irregular, ECPP 822 primV(24998) 5033 c48 2008 Lucas primitive part, ECPP 823 16219299585*2^16614-1 5012 p158 2005 Cunningham chain (4p+3) 824 16219299585*2^16613-1 5012 p158 2005 Cunningham chain (2p+1) 825 16219299585*2^16612-1 5011 p158 2005 Cunningham chain (p) 826b primA(95475) 4966 c4 2009 Lucas Aurifeuillian primitive part, ECPP 827 11549#+1 4951 D 1986 Primorial 828 2288999415*2^15939-1 4808 p133 2004 Cunningham chain (4p+3) 829 2288999415*2^15938-1 4808 p133 2004 Cunningham chain (2p+1) 830 2288999415*2^15937-1 4807 p133 2004 Cunningham chain (p) 831 7911*2^15823-1 4768 K 1987 Woodall 832 V(22811)/(2469062641*84961206854418761) 4741 c8 2004 Lucas cofactor, ECPP 833 primU(25493) 4695 c8 2007 Fibonacci primitive part, ECPP 834 1793349831*2^15257+1 4603 p133 2004 Cunningham chain 2nd kind (4p-3) 835 p(17120312) 4602 c39 2007 Partitions, ECPP 836 p(17120303) 4602 c39 2007 Partitions, ECPP 837 1110159213*2^15166+1 4575 g250 2002 Cunningham chain 2nd kind (4p-3) 838c primB(95655) 4564 c4 2009 Lucas Aurifeuillian primitive part, ECPP 839 3345660375*2^15127+1 4564 p94 2002 Cunningham chain 2nd kind (4p-3) 840 Phi(6685,-10) 4560 c8 2003 Unique, ECPP 841 909092313*2^15060-1 4543 g250 2002 Cunningham chain (4p+3) 842 909092313*2^15059-1 4543 g250 2002 Cunningham chain (2p+1) 843 909092313*2^15058-1 4542 g250 2002 Cunningham chain (p) 844 primV(29810) 4515 c8 2004 Lucas primitive part, ECPP 845 E(1736)/(55695515*75284987831*3222089324971117) 4498 c4 2004 Euler irregular, ECPP 846 U(21577)/(8626362776257*608114436652075009) 4479 c8 2004 Fibonacci cofactor, ECPP 847 p(16026516) 4452 c39 2006 Partitions, ECPP 848 primU(34593) 4444 c8 2007 Fibonacci primitive part, ECPP 849 primA(53155) 4444 x25 2002 Lucas Aurifeuillian primitive part, cyclotomy 850 2^14699+2^7350+1 4425 O 2000 Gaussian Mersenne norm 27 851 primU(38181) 4414 c8 2007 Fibonacci primitive part, ECPP 852 primA(52825) 4414 x25 2003 Lucas Aurifeuillian primitive part 853c primB(79125) 4389 c4 2009 Lucas Aurifeuillian primitive part, ECPP 854 p(15446832) 4371 c8 2006 Partitions, ECPP 855 p(15432340) 4369 c8 2006 Partitions, ECPP 856 p(15421217) 4367 c8 2006 Partitions, ECPP 857 p(15415500) 4366 c8 2006 Partitions, ECPP 858 (2^14561-1)/8074991336582835391 4365 c8 2004 Mersenne cofactor, ECPP 859 (2^14621-1)/(1958650799081*9787919624201558678734079) 4365 c4 2008 Mersenne cofactor, ECPP 860 Phi(3273,-100) 4361 c8 2003 Unique, ECPP 861 (2^14479+1)/3 4359 c4 2004 Generalized Lucas number, Wagstaff, ECPP 862 Phi(1087,-10000) 4344 c8 2002 Unique, ECPP 863 p(15188680) 4334 c8 2007 Partitions, ECPP 864 p(15185045) 4334 c8 2007 Partitions, ECPP 865 p(15144105) 4328 c8 2007 Partitions, ECPP 866 p(15131236) 4326 c8 2007 Partitions, ECPP 867 p(15123275) 4325 c8 2006 Partitions, ECPP 868 p(15121460) 4324 c8 2007 Partitions, ECPP 869 p(15118525) 4324 c8 2006 Partitions, ECPP 870c primB(56815) 4314 c4 2009 Lucas Aurifeuillian primitive part, ECPP 871 primV(20578) 4301 p54 2001 Lucas primitive part 872 primU(21053) 4274 c8 2007 Fibonacci primitive part, ECPP 873 primU(31209) 4264 c8 2007 Fibonacci primitive part, ECPP 874d primV(21298) 4249 c4 2009 Lucas primitive part, ECPP 875 Phi(483,-10^16) 4224 c8 2002 Unique, ECPP 876 276474*Bern(2030)/(19426085*24191786327543) 4200 c8 2003 Irregular, ECPP 877 primU(25115) 4199 CH3 2005 Fibonacci primitive part 878 primU(30687) 4173 c8 2007 Fibonacci primitive part, ECPP 879 V(19469) 4069 x25 2002 Lucas number, cyclotomy, APR-CL assisted 880 1477!+1 4042 D 1984 Factorial 881 U(19433)/(8200903423639793*124790158973035710313*163702910239586286961\ 573) 4002 c8 2004 Fibonacci cofactor, ECPP 882 primV(19148) 4001 p12 2001 Lucas primitive part 883 U(19051)/44198321 3974 c8 2004 Fibonacci cofactor, ECPP 884 U(18919)/1497228584233 3942 c8 2004 Fibonacci cofactor, ECPP 885 primU(22939) 3933 c8 2007 Fibonacci primitive part, ECPP 886 Phi(1959,1000) 3912 c8 2002 Unique, ECPP 887d primA(52855) 3888 c4 2009 Lucas Aurifeuillian primitive part, ECPP 888 primU(23009) 3883 c8 2007 Fibonacci primitive part, ECPP 889e primV(18857) 3882 c4 2009 Lucas primitive part, ECPP 890 primV(23716) 3863 p54 2001 Lucas primitive part 891e primV(37830) 3853 c4 2009 Lucas primitive part, ECPP 892 -2730*Bern(1884)/100983617849 3844 c8 2003 Irregular, ECPP 893 2840178*Bern(1870)/85 3821 c8 2003 Irregular, ECPP 894 U(18427)/(1828363793*23130933997*11364458229549793) 3815 c8 2004 Fibonacci cofactor, ECPP 895 Phi(955,-100000) 3801 c8 2002 Unique, ECPP 896f primV(18796) 3792 c4 2009 Lucas primitive part, ECPP 897f primV(19193) 3772 c4 2009 Lucas primitive part, ECPP 898 -197676570*18851280661*Bern(1836)/(59789*3927024469727) 3734 c8 2003 Irregular, ECPP 899 12379*2^12379-1 3731 K 1984 Woodall 900 (2^12391+1)/3 3730 M 1996 Generalized Lucas number, Wagstaff 901 (2^12451-1)/(4980401*15289230353*1143390212315192593598809) 3708 c4 2008 Mersenne cofactor, ECPP 902 primU(32985) 3672 x23 2007 Fibonacci primitive part 903 E(1468)/(95*217158949445380764696306893*597712879321361736404369071) 3671 c4 2003 Euler irregular, ECPP 904 642*Bern(1802)/15720728189 3641 c8 2003 Irregular, ECPP 905 primA(42685) 3568 c46 2008 Lucas Aurifeuillian primitive part 906 U(17137)/328335144266897 3567 c8 2004 Fibonacci cofactor, ECPP 907 primU(18689) 3549 c8 2007 Fibonacci primitive part, ECPP 908 U(17011)/42109783293497 3542 c8 2004 Fibonacci cofactor 909 V(17029)/(9570299*495749440031) 3541 c8 2004 Lucas cofactor, ECPP 910 (2^11813-1)/(70879*207971134271377) 3537 c8 2002 Mersenne cofactor, ECPP 911 primU(41055) 3531 c8 2007 Fibonacci primitive part, ECPP 912f primA(45565) 3512 c4 2009 Lucas Aurifeuillian primitive part, ECPP 913 primU(34515) 3491 c8 2003 Fibonacci primitive part, ECPP 914 primU(20665) 3455 DK 1999 Fibonacci primitive part 915 primU(24699) 3441 p54 2001 Fibonacci primitive part 916 (2^11279+1)/3 3395 PM 1998 Cyclotomy, generalized Lucas number, Wagstaff 917 U(16369)/(299022540829*8523458822385578881) 3391 c8 2004 Fibonacci cofactor, ECPP 918 primU(17221) 3385 c8 2003 Fibonacci primitive part, ECPP 919 primV(17524) 3371 c8 2003 Lucas primitive part, ECPP 920 Phi(6135,10) 3265 c8 2001 Unique, ECPP 921 V(15511)/394599841 3234 c8 2004 Lucas cofactor, ECPP 922 primU(23211) 3233 DK 1999 Fibonacci primitive part 923 (2^10691+1)/3 3218 c4 2004 Generalized Lucas number, Wagstaff, ECPP 924 primA(41665) 3211 c8 2003 Lucas Aurifeuillian primitive part, ECPP 925 (2^10501+1)/3 3161 M 1996 Generalized Lucas number, Wagstaff 926 V(14887)/1256071867381 3100 c8 2004 Lucas cofactor 927 Phi(3341,-10) 3073 c8 2001 Unique, ECPP 928 2^10141+2^5071+1 3053 O 2000 Gaussian Mersenne norm 26 929 1531785651*2^10109+1 3053 g250 2001 Cunningham chain 2nd kind (4p-3) 930 (2^10169-1)/10402314702094700470118039921523041260063 3022 c8 2002 Mersenne cofactor, ECPP 931 V(14449) 3020 DK 1995 Lucas number 932 U(14431) 3016 p54 2001 Fibonacci number 933 Phi(3011,-10) 3010 F2 2001 Unique, APR-CL assisted 934 (2^10007-1)/(14477908246561*136255313*10368448917257) 2979 c8 2002 Mersenne cofactor, ECPP 935 U(14177)/2199986861 2954 c8 2004 Fibonacci cofactor 936 primU(19415) 2943 c8 2003 Fibonacci primitive part, ECPP 937 V(13963) 2919 c11 2002 Lucas number, ECPP 938 primA(51945) 2894 c8 2003 Lucas Aurifeuillian primitive part, ECPP 939 (2^9697-1)/(724126946527*19092282046942032847) 2888 c8 2002 Mersenne cofactor, ECPP 940 (2^9733-1)/(2932747561*353435802999708808999*4424579967215442704801447) 2876 c4 2001 Mersenne cofactor, ECPP 941 9531*2^9531-1 2874 K 1984 Woodall 942 (2^9901-1)/(87770464009*4512717821471308759*8336998551279784091551*101\ 7688752041649660766793*25146117302614435382787771401*15024406890765276\ 20360606617623599) 2844 c2 2001 Mersenne cofactor, ECPP 943 6569#-1 2811 D 1992 Primorial 944 primB(49785) 2774 c8 2003 Lucas Aurifeuillian primitive part, ECPP 945 U(13063)/(4389169*10370895133369) 2710 c8 2004 Fibonacci cofactor 946 primA(52275) 2676 c8 2003 Lucas Aurifeuillian primitive part, ECPP 947 U(12743)/8869129 2656 c8 2004 Fibonacci cofactor 948 (2^8849-1)/(52368383*15264764469472455023) 2637 c4 2001 Mersenne cofactor, ECPP 949 primB(48375) 2634 F3 2001 Lucas Aurifeuillian primitive part, APR-CL assisted 950 V(12503)/4954888889 2604 c8 2004 Lucas cofactor 951 primB(31145) 2603 p54 2001 Lucas Aurifeuillian primitive part 952 Phi(3903,10) 2600 p44 2001 Unique 953 primB(34045) 2584 c8 2003 Lucas Aurifeuillian primitive part, ECPP 954 V(12457)/(1420099*81953391325049801) 2581 c8 2004 Lucas cofactor, ECPP 955 -E(1078)/361898544439043 2578 c4 2002 Euler irregular, ECPP 956 V(12251) 2561 p54 2001 Lucas number 957 primA(47235) 2538 c8 2003 Lucas Aurifeuillian primitive part, ECPP 958 primB(53625) 2508 c8 2003 Lucas Aurifeuillian primitive part, ECPP 959 974!-1 2490 CD 1992 Factorial 960 U(11807)/(231936709*1129990105451996281) 2441 c8 2004 Fibonacci cofactor, ECPP 961 E(1028)/(6415*56837916301577) 2433 c4 2002 Euler irregular, ECPP 962 V(11657)/69172639 2429 c8 2004 Lucas cofactor 963 primB(45105) 2407 c8 2003 Lucas Aurifeuillian primitive part, ECPP 964 E(1004)/(579851915*80533376783) 2364 c4 2002 Euler irregular, ECPP 965 V(11393)/(3076111*5299498382701) 2362 c8 2004 Lucas cofactor 966 953477584*5501#-1 2355 p133 2005 Cunningham chain (8p+7) 967 U(11393)/(38772745844002993*2788032223609253801) 2346 c8 2004 Fibonacci cofactor, ECPP 968 V(11261)/16823009787209 2341 c8 2004 Lucas cofactor 969 U(11279)/(34987457*70263726073) 2339 c8 2004 Fibonacci cofactor 970 7755*2^7755-1 2339 K 1984 Woodall 971 V(11213)/(224261*1476324252027331181) 2320 c8 2004 Lucas cofactor, ECPP 972 U(11093)/544296421641613 2304 c8 2004 Fibonacci cofactor 973 (2^7757-1)/233293220467553594643512097574361 2303 c2 2001 Mersenne cofactor, ECPP 974 (2^7673-1)/2563193011919 2298 M1 1997 Mersenne cofactor, cyclotomy 975 V(11173)/(25206289*28583254701767411959*24018475125955094159731) 2286 c8 2004 Lucas cofactor, ECPP 976 -2090369190*Bern(1236)/(103*939551962476779*157517441360851951) 2276 c4 2002 Irregular, ECPP 977 -36870*Bern(1228)/1043706675925609 2272 c4 2002 Irregular, ECPP 978 V(10691) 2235 DK 1995 Lucas number 979 (2^7331-1)/458072843161 2196 EM 1997 Mersenne cofactor, ECPP 980 (2^7417-1)/(1930694161304071*3888241452787718190543521) 2193 c8 2002 Mersenne cofactor, ECPP 981 872!+1 2188 D 1983 Factorial 982 Phi(3261,-10) 2173 F2 2001 Unique, APR-CL assisted 983 Phi(2137,-10) 2136 c6 2000 Unique, ECPP 984 V(10223)/61893855542632111 2120 c8 2004 Lucas cofactor, ECPP 985 (2^7039-1)/(1324401538053479*8541573097*218216841131937276721) 2074 c2 2001 Mersenne cofactor, ECPP 986 -E(902)/(9756496279*314344516832998594237) 2069 c4 2002 Euler irregular, ECPP 987 4104082046*4799#+5659 2058 c18 2005 Quadruplet (4), ECPP 988 4104082046*4799#+5657 2058 c18 2005 Quadruplet (3), ECPP 989 4104082046*4799#+5653 2058 c18 2005 Quadruplet (2), ECPP 990 4104082046*4799#+5651 2058 c18 2005 Quadruplet (1), ECPP 991 V(9839)/491951 2051 c8 2004 Lucas cofactor 992 (2^6883-1)/(1885943*2043031664890199) 2051 M1 1997 Mersenne cofactor, cyclotomy 993 -E(886)/68689 2051 c4 2002 Euler irregular, ECPP 994 4787#+1 2038 D 1984 Primorial 995 U(9677) 2023 c2 2000 Fibonacci number, ECPP 996 U(9931)/(3079452003211541*122039293401017981*604956242930486632441) 2022 c8 2004 Fibonacci cofactor 997 U(9967)/(120801834061*3105570884441*1047583984031437*22727240300133999\ 677*15086016388211003643481) 2003 c8 2005 Fibonacci cofactor, ECPP 998 6611*2^6611+1 1994 K 1984 Cullen 999 4583#-1 1953 D 1992 Primorial 1000 U(9311) 1946 DK 1995 Fibonacci number 1001 4547#+1 1939 D 1984 Primorial 1002 Phi(3927,10) 1920 c3 2000 Unique, ECPP 1003 V(9209)/(29745071*101409509*547683904686691*4025749704474499) 1879 c8 2004 Lucas cofactor 1004 Phi(2177,-10) 1861 c2 2000 Unique, ECPP 1005 4297#-1 1844 D 1992 Primorial 1006 V(8807)/356419291 1833 c8 2004 Lucas cofactor 1007 (2^6199-1)/(46113927071*3895469424045161025776010136475884556282201) 1813 c8 2005 Mersenne cofactor, ECPP 1008 (2^6337-1)/(867442823536500063364056974417*178163155861385791284178547\ 44231*291260082159225422294046286277013181681110191) 1802 c8 2005 Mersenne cofactor, ECPP 1009 (2^6043-1)/11155520642419038056369903183 1792 F2 2000 Mersenne cofactor, APR-CL assisted 1010 2^5900+469721940591 1777 c45 2007 Consecutive primes arithmetic progression (4,d=2880), ECPP 1011 11628008104*4127#+1 1770 p133 2005 Cunningham chain 2nd kind (8p-7) 1012 V(8467) 1770 c2 2000 Lucas number, ECPP 1013 18672891658*4099#+1591789579 1763 c14 2003 ECPP, consecutive primes arithmetic progression (4,d=210) 1014 4093#-1 1750 CD 1992 Primorial 1015 5795*2^5795+1 1749 K 1984 Cullen 1016 (2^5807+1)/3 1748 PM 1998 Cyclotomy, generalized Lucas number, Wagstaff 1017 U(8537)/(900766408671673*558828605201*17191134589117*92295773098952073\ 61) 1725 c8 2004 Fibonacci cofactor 1018 1226756544*4001#+1 1712 p133 2004 Cunningham chain 2nd kind (8p-7) 1019 U(8353)/(176465477*2184683363573*3620673479519515599362549) 1701 c8 2004 Fibonacci cofactor 1020 V(8329)/(5533286033716829*62798306322672929543921*23984131456587054365\ 62211) 1678 c8 2006 Lucas cofactor, ECPP 1021 V(7741) 1618 DK 1995 Lucas number 1022 52069470*3739#+1 1606 p155 2006 Arithmetic progression (6,d=3884057*3739#) 1023 83*2^5318-1 1603 K 1984 Woodall 1024 V(7243)/289721 1509 c8 2004 Lucas cofactor 1025 45496757*3529#+1 1503 p42 2006 Arithmetic progression (6,d=3603821*3529#) 1026 11024895887*3499#+855739 1491 c18 2003 Quadruplet (4), ECPP 1027 11024895887*3499#+855737 1491 c18 2003 Quadruplet (3), ECPP 1028 11024895887*3499#+855733 1491 c18 2003 Quadruplet (2), ECPP 1029 11024895887*3499#+855731 1491 c18 2003 Quadruplet (1), ECPP 1030 4713*2^4713+1 1423 K 1984 Cullen 1031 -54570*Bern(848)/(428478023*5051145078213134269) 1418 c4 2002 Irregular, ECPP 1032 3229#+1 1368 D 1984 Primorial 1033 -E(638)/(7235862947323*11411779188663863*526900327479624797) 1343 c4 2002 Euler irregular, ECPP 1034 41812496896*3067#-1 1316 p133 2004 Cunningham chain (8p+7) 1035 1054831232256*3061#+1 1314 p44 2003 Cunningham chain 2nd kind (8p-7) 1036 191881920*3067#-1 1314 p133 2004 Cunningham chain (8p+7) 1037 23^963+1031392866 1312 c32 2005 Consecutive primes arithmetic progression (4,d=1500) 1038 138*Bern(814)/(28409964671*335055893*351085907*520460183*30348030379*1\ 7043083582983) 1311 c4 2002 Irregular, ECPP 1039 13657785480*3049#-1 1309 p94 2002 Cunningham chain (8p+7) 1040 V(6379)/(9823661*187797761*39735824399) 1308 c8 2004 Lucas cofactor 1041 2853609856*3041#+1 1304 p94 2002 Cunningham chain 2nd kind (8p-7) 1042 49157981*3041#+1 1303 p151 2008 Arithmetic progression (6,d=5151124*3041#) 1043 42261175*3041#+1 1303 p151 2008 Arithmetic progression (6,d=1552212*3041#) 1044 40279010*3041#+1 1302 p151 2008 Arithmetic progression (6,d=6220023*3041#) 1045 V(6661)/(20413264084399*254844997471*6472729219639*8036635984600095627\ 961*64250170013936618067104660874142964379889) 1292 c8 2005 Lucas cofactor, ECPP 1046 833000864*3011#+1 1290 p155 2006 Arithmetic progression (7,d=114858412*3011#) 1047 821752479*3011#+1 1290 p155 2006 Arithmetic progression (7,d=114379137*3011#) 1048 797311599*3011#+1 1290 p155 2006 Arithmetic progression (7,d=98881303*3011#) 1049 489855608*3011#+1 1290 p155 2006 Arithmetic progression (7,d=1679489*3011#) 1050 1730304995*3001#+1 1287 p73 2004 Arithmetic progression (7,d=230408192*3001#) 1051 10271674954*2999#+3469 1284 p26 2002 Quadruplet (4), ECPP 1052 10271674954*2999#+3467 1284 p26 2002 Quadruplet (3), ECPP 1053 10271674954*2999#+3463 1284 p26 2002 Quadruplet (2), ECPP 1054 10271674954*2999#+3461 1284 p26 2002 Quadruplet (1), ECPP 1055 4919761805*2999#+6763 1284 c23 2003 Consecutive primes arithmetic progression (4,d=30) 1056 546!-1 1260 D 1992 Factorial 1057 354*Bern(754)/(377*883462452530494157) 1225 c4 2002 Irregular, ECPP 1058 V(5851) 1223 DK 1995 Lucas number 1059 19743490208*2801#-1 1208 p133 2005 Cunningham chain (8p+7) 1060 -690*Bern(748)/(720511*138192830377045750339532383) 1201 c8 2002 Irregular, ECPP 1061 6*Bern(734)/(377231593*75401119*170508089) 1178 c4 2002 Irregular, ECPP 1062 2722420456827*2^3800+7 1157 c44 2007 Quadruplet (4) 1063 2722420456827*2^3800+5 1157 c44 2007 Quadruplet (3) 1064 2722420456827*2^3800+1 1157 L467 2007 Quadruplet (2) 1065 2722420456827*2^3800-1 1157 L467 2007 Quadruplet (1) 1066 477707955423*2^3802+7 1157 c44 2007 Quadruplet (4) 1067 477707955423*2^3802+5 1157 c44 2007 Quadruplet (3) 1068 477707955423*2^3802+1 1157 L467 2007 Quadruplet (2) 1069 477707955423*2^3802-1 1157 L467 2007 Quadruplet (1) 1070 U(5387) 1126 WM 1990 Fibonacci number 1071 2657#+1 1115 BC 1981 Primorial 1072e 424232794973*2593#+43789 1107 c18 2009 Quintuplet (5) , ECPP 1073e 424232794973*2593#+43787 1107 c18 2009 Quintuplet (4) , ECPP 1074e 424232794973*2593#+43783 1107 c18 2009 Quintuplet (3) , ECPP 1075e 424232794973*2593#+43781 1107 c18 2009 Quintuplet (2) , ECPP 1076e 424232794973*2593#+43777 1107 c18 2009 Quintuplet (1) , ECPP 1077 -88230*Bern(688)/(465776197109*1913589601207) 1088 c4 2002 Irregular, ECPP 1078 6*Bern(674)/337 1077 c4 2002 Irregular, ECPP 1079 283534892623*2477#+1091273 1069 c18 2006 Quintuplet (5), ECPP 1080 283534892623*2477#+1091269 1069 c18 2006 Quintuplet (4), ECPP 1081 283534892623*2477#+1091267 1069 c18 2006 Quintuplet (3), ECPP 1082 283534892623*2477#+1091263 1069 c18 2006 Quintuplet (2), ECPP 1083 283534892623*2477#+1091261 1069 c18 2006 Quintuplet (1), ECPP 1084 (2^3539+1)/3 1065 M 1989 First titanic by ECPP, generalized Lucas number, Wagstaff 1085 -E(510) 1062 c4 2002 Euler irregular, ECPP 1086 -E(526)/(5062100689*71096484738291757946225730043997) 1060 c4 2002 Euler irregular, ECPP 1087d 2968802755*2459#+1 1057 p155 2009 Arithmetic progression (8,d=359463429*2459#) 1088f 2519951928*2459#+1 1057 p155 2009 Cunningham chain 2nd kind (8p-7) 1089 469!-1 1051 BC 1981 Factorial 1090 11^1008+998672782 1050 c32 2005 Consecutive primes arithmetic progression (4,d=1080) 1091 142661157626*2411#+71427877 1038 c14 2002 Consecutive primes arithmetic progression (5,d=30) 1092 6179783529*2411#+1 1037 p102 2003 Arithmetic progression (8,d=176836494*2411#) 1093 31969211688*2399#+16073 1034 c18 2002 Quintuplet (5), ECPP 1094 31969211688*2399#+16069 1034 c18 2002 Quintuplet (4), ECPP 1095 31969211688*2399#+16067 1034 c18 2002 Quintuplet (3), ECPP 1096 31969211688*2399#+16063 1034 c18 2002 Quintuplet (2), ECPP 1097 31969211688*2399#+16061 1034 c18 2002 Quintuplet (1), ECPP 1098 R(1031) 1031 WD 1985 Repunit 1099 2377#-1 1007 D 1992 Primorial 1100 V(4793) 1002 DK 1995 Lucas number 1101 V(4787) 1001 DK 1995 Lucas number ----- -------------------------------- ------ ---- ---- -------------- KEY TO PROOF-CODES (primality provers): BC Penk, Buhler, Crandall C Caldwell, Cruncher c2 Water, Primo c3 LaBarbera, 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 g50 Uk, 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 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 IJW Wassing, Indlekofer, Jarai 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 DarkStar, 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 L402 McKibbon, NewPGen, 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 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 L780 Brady, Srsieve, PrimeGrid, LLR L801 Gesker, Gcwsieve, MultiSieve, PrimeGrid, LLR L872 Gronow, 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 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 p110 Wolter, MultiSieve, GenWoodall, 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 p161 Harvey, FermFact, 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 p222 Underbakke, TwinGen, LLR, OpenPFGW p227 Harvey, Srsieve, PRP, 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 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 Y Young