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Factorizations of 499...991

Table of contents

  1. About 499...991
  2. Prime numbers of the form 499...991
  3. Factorizations of 499...991
  4. References

1. About 499...991

First ten terms

41, 491, 4991, 49991, 499991, 4999991, 49999991, 499999991, 4999999991, 49999999991

General term

5·10n-9

2. Prime numbers of the form 499...991

Last update

Aug 9, 2009

Searched up to

n≤20000

Difficulty of search

21.43%

Results

  1. 5·101-9 = 41 is prime.
  2. 5·102-9 = 491 is prime.
  3. 5·104-9 = 49991 is prime.
  4. 5·107-9 = 49999991 is prime.
  5. 5·1024-9 = 4(9)231<25> is prime.
  6. 5·10172-9 = 4(9)1711<173> is prime. (searched by Makoto Kamada / Dec 3, 2004) (certified by Makoto Kamada / PPSIQS / Jan 3, 2005)
  7. 5·10173-9 = 4(9)1721<174> is prime. (searched by Makoto Kamada / Dec 3, 2004) (certified by Makoto Kamada / PFGW / Jan 2, 2005)
  8. 5·10218-9 = 4(9)2171<219> is prime. (searched by Makoto Kamada / Dec 3, 2004) (certified by Makoto Kamada / PPSIQS / Jan 3, 2005)
  9. 5·10439-9 = 4(9)4381<440> is prime. (searched by Makoto Kamada / PFGW / Dec 23, 2004) (certified by Makoto Kamada / PFGW / Jan 2, 2005)
  10. 5·102563-9 = 4(9)25621<2564> is PRP. (Makoto Kamada / PFGW / Dec 23, 2004)
  11. 5·102782-9 = 4(9)27811<2783> is PRP. (Makoto Kamada / PFGW / Dec 23, 2004)
  12. 5·102880-9 = 4(9)28791<2881> is PRP. (Makoto Kamada / PFGW / Dec 23, 2004)
  13. 5·103715-9 = 4(9)37141<3716> is PRP. (Makoto Kamada / PFGW / Dec 23, 2004)
  14. 5·104392-9 = 4(9)43911<4393> is PRP. (Makoto Kamada / PFGW / Dec 23, 2004)
  15. 5·1010820-9 = 4(9)108191<10821> is PRP. (Sinkiti Sibata / PFGW / Dec 6, 2007)
  16. 5·1014592-9 = 4(9)145911<14593> is PRP. (Sinkiti Sibata / PFGW / Dec 6, 2007)

3. Factorizations of 499...991

Last update

Nov 5, 2009

Completed up to

Range

n≤200

Terms which have not been factored yet

n=175, 176, 177, 178, 181, 182, 183, 186, 187, 188, 192, 195, 196, 200 (14/200)

Results

5·101-9 =
41
= definitely prime number
5·102-9 =
491
= definitely prime number
5·103-9 =
4991
= 7 · 23 · 31
5·104-9 =
49991
= definitely prime number
5·105-9 =
499991
= 79 · 6329
5·106-9 =
4999991
= 41 · 121951
5·107-9 =
49999991
= definitely prime number
5·108-9 =
499999991
= 19 · 29 · 191 · 4751
5·109-9 =
4999999991<10>
= 7 · 6271 · 113903
5·1010-9 =
49999999991<11>
= 61 · 819672131
5·1011-9 =
499999999991<12>
= 41 · 71 · 171762281
5·1012-9 =
4999999999991<13>
= 599 · 21529 · 387721
5·1013-9 =
49999999999991<14>
= 3617639 · 13821169
5·1014-9 =
499999999999991<15>
= 1381 · 62071 · 5832941
5·1015-9 =
4999999999999991<16>
= 7 · 17 · 2153 · 10529 · 1853497
5·1016-9 =
49999999999999991<17>
= 41 · 829 · 7151 · 8011 · 25679
5·1017-9 =
499999999999999991<18>
= 8999 · 55561729081009<14>
5·1018-9 =
4999999999999999991<19>
= 31 · 79 · 229 · 269 · 2551 · 12992209
5·1019-9 =
49999999999999999991<20>
= 47 · 601 · 4159 · 174583 · 2437849
5·1020-9 =
499999999999999999991<21>
= 544861 · 917665239391331<15>
5·1021-9 =
4999999999999999999991<22>
= 7 · 41 · 401 · 43445393484928793<17>
5·1022-9 =
49999999999999999999991<23>
= 619 · 1061 · 76131427205413249<17>
5·1023-9 =
499999999999999999999991<24>
= 58129 · 8601558602418758279<19>
5·1024-9 =
4999999999999999999999991<25>
= definitely prime number
5·1025-9 =
49999999999999999999999991<26>
= 23 · 151 · 2663 · 154727 · 34940406194167<14>
5·1026-9 =
499999999999999999999999991<27>
= 19 · 41 · 641848523748395378690629<24>
5·1027-9 =
4999999999999999999999999991<28>
= 72 · 2113 · 37607 · 1284120375664002049<19>
5·1028-9 =
49999999999999999999999999991<29>
= 331 · 338625971 · 509395589 · 875722619
5·1029-9 =
499999999999999999999999999991<30>
= 232217 · 2153158468156939414427023<25>
5·1030-9 =
4999999999999999999999999999991<31>
= 59 · 19991 · 30809 · 1425237929<10> · 96542490899<11>
5·1031-9 =
49999999999999999999999999999991<32>
= 17 · 41 · 79 · 7759 · 19777 · 23071 · 256494200780369<15>
5·1032-9 =
499999999999999999999999999999991<33>
= 1198819 · 417077140085367349032672989<27>
5·1033-9 =
4999999999999999999999999999999991<34>
= 7 · 31 · 189127 · 121830699235846178410971449<27>
5·1034-9 =
49999999999999999999999999999999991<35>
= 89 · 423443789 · 1326735135578972358111371<25>
5·1035-9 =
499999999999999999999999999999999991<36>
= 521 · 2777329 · 10649005205687<14> · 32448596183177<14>
5·1036-9 =
4999999999999999999999999999999999991<37>
= 29 · 41 · 15061 · 279212168244987904249659458879<30>
5·1037-9 =
49999999999999999999999999999999999991<38>
= 463 · 4007 · 145665511 · 185017553598741356460841<24>
5·1038-9 =
499999999999999999999999999999999999991<39>
= 47569 · 7945929179<10> · 1322821645364321125915141<25>
5·1039-9 =
4999999999999999999999999999999999999991<40>
= 7 · 311 · 2081 · 7361359 · 149927568276670622397029177<27>
5·1040-9 =
49999999999999999999999999999999999999991<41>
= 109 · 379 · 1091 · 24268890431<11> · 45711937043896336314461<23>
5·1041-9 =
499999999999999999999999999999999999999991<42>
= 41 · 167 · 2885771201281<13> · 25305083892380656195296713<26>
5·1042-9 =
4999999999999999999999999999999999999999991<43>
= 11008411 · 454198158117461275746336142427821781<36>
5·1043-9 =
49999999999999999999999999999999999999999991<44>
= 15737 · 52376783 · 60660954426418649577290418519521<32>
5·1044-9 =
499999999999999999999999999999999999999999991<45>
= 19 · 79 · 431 · 772879951648630224861693132652477621261<39>
5·1045-9 =
4999999999999999999999999999999999999999999991<46>
= 7 · 714285714285714285714285714285714285714285713<45>
5·1046-9 =
49999999999999999999999999999999999999999999991<47>
= 41 · 71 · 62020586501<11> · 276943980528662497012615361205781<33>
5·1047-9 =
499999999999999999999999999999999999999999999991<48>
= 17 · 23 · 22777 · 121581736271639792119<21> · 461772838408986007727<21>
5·1048-9 =
4999999999999999999999999999999999999999999999991<49>
= 31 · 161290322580645161290322580645161290322580645161<48>
5·1049-9 =
49999999999999999999999999999999999999999999999991<50>
= 24439 · 12260450030546096531623<23> · 166870728265443558084503<24>
5·1050-9 =
499999999999999999999999999999999999999999999999991<51>
= 149 · 637384449769832657611<21> · 5264804780220733821900366769<28>
5·1051-9 =
4999999999999999999999999999999999999999999999999991<52>
= 7 · 41 · 129919 · 134095881183325348817581407530980238477724247<45>
5·1052-9 =
49999999999999999999999999999999999999999999999999991<53>
= 549089 · 12742197029<11> · 233757135379<12> · 30571592930054181006072809<26>
5·1053-9 =
499999999999999999999999999999999999999999999999999991<54>
= 199 · 1993 · 414199 · 20180057 · 47804654743<11> · 71016494537<11> · 44427183071801<14>
5·1054-9 =
4999999999999999999999999999999999999999999999999999991<55>
= 7079 · 100129 · 1997999 · 39709421 · 12509825847019<14> · 7107193311435838801<19>
5·1055-9 =
49999999999999999999999999999999999999999999999999999991<56>
= 2999 · 15641 · 201306887 · 43857279649<11> · 120733752630563945454866475823<30>
5·1056-9 =
499999999999999999999999999999999999999999999999999999991<57>
= 41 · 17509 · 12363824906258279<17> · 56334177630343702305475113126739541<35>
5·1057-9 =
4999999999999999999999999999999999999999999999999999999991<58>
= 7 · 79 · 4466637257<10> · 1288159942439<13> · 1571427680825815323155962866210689<34>
5·1058-9 =
49999999999999999999999999999999999999999999999999999999991<59>
= 1396495527548746489<19> · 4382833055786544389<19> · 8169124721997798758371<22>
5·1059-9 =
499999999999999999999999999999999999999999999999999999999991<60>
= 65006863 · 2236667561<10> · 5428004061793<13> · 633532927818506070264373294609<30>
5·1060-9 =
4999999999999999999999999999999999999999999999999999999999991<61>
= 1171529 · 1699066094861950824806669<25> · 2511925109436962005789137652091<31>
5·1061-9 =
49999999999999999999999999999999999999999999999999999999999991<62>
= 41 · 3094417 · 92707116473579561801<20> · 4251030648903640135155251567995703<34>
5·1062-9 =
499999999999999999999999999999999999999999999999999999999999991<63>
= 19 · 23459 · 1121777973216429111484538534195157957556408605383188137871<58>
5·1063-9 =
4999999999999999999999999999999999999999999999999999999999999991<64>
= 7 · 17 · 31 · 490765528129<12> · 31280262227654641<17> · 88291097249089268102425706697871<32>
5·1064-9 =
49999999999999999999999999999999999999999999999999999999999999991<65>
= 29 · 187339 · 411702391 · 940852863616859<15> · 23759577218193789673324679961674669<35>
5·1065-9 =
499999999999999999999999999999999999999999999999999999999999999991<66>
= 47 · 2887 · 11551 · 319011088288852270003055788074053618563223071210614075169<57>
5·1066-9 =
4999999999999999999999999999999999999999999999999999999999999999991<67>
= 41 · 359069 · 179979169 · 4796935108879675430256241<25> · 393388943545375634474798651<27>
5·1067-9 =
49999999999999999999999999999999999999999999999999999999999999999991<68>
= 2287 · 48843778924739079644993759<26> · 447604643033102840986143863255700623527<39>
5·1068-9 =
499999999999999999999999999999999999999999999999999999999999999999991<69>
= 89724180473953501961166239<26> · 5572633791234767478478503545072671249190569<43>
5·1069-9 =
4999999999999999999999999999999999999999999999999999999999999999999991<70>
= 72 · 23 · 223 · 20681 · 76454969 · 10828012799<11> · 1162024309652366037990389610090744014425361<43>
5·1070-9 =
49999999999999999999999999999999999999999999999999999999999999999999991<71>
= 61 · 79 · 3623719499<10> · 64168731989718407410739<23> · 44620563201936028457693760244206749<35>
5·1071-9 =
499999999999999999999999999999999999999999999999999999999999999999999991<72>
= 41 · 9479 · 549017249391938094972540451516001<33> · 2343352566089217438111477266676169<34>
5·1072-9 =
4999999999999999999999999999999999999999999999999999999999999999999999991<73>
= 17715307175611063320729971<26> · 282241789568491204828205756224138149480262528621<48>
5·1073-9 =
49999999999999999999999999999999999999999999999999999999999999999999999991<74>
= 313 · 3714647 · 15450425391217<14> · 2783349069877057829224343724139757685935082915881593<52>
5·1074-9 =
499999999999999999999999999999999999999999999999999999999999999999999999991<75>
= 131 · 96203766740447713421<20> · 2492920273639109160859<22> · 15914692164168616736029771611299<32>
5·1075-9 =
4999999999999999999999999999999999999999999999999999999999999999999999999991<76>
= 7 · 460114769 · 7340301278034167<16> · 7933915019337796534184801<25> · 26656575782332427679443431<26>
5·1076-9 =
49999999999999999999999999999999999999999999999999999999999999999999999999991<77>
= 41 · 359 · 6308461 · 6627169 · 327670061552940761<18> · 247972470068959647976828665325015956492661<42>
5·1077-9 =
499999999999999999999999999999999999999999999999999999999999999999999999999991<78>
= 326681 · 1530545088327757047394859205157324729629210146901717577698121408958586511<73>
5·1078-9 =
4999999999999999999999999999999999999999999999999999999999999999999999999999991<79>
= 31 · 89 · 516521 · 571110241901<12> · 6143422332392510504875978178352734448925897331764713020269<58>
5·1079-9 =
49999999999999999999999999999999999999999999999999999999999999999999999999999991<80>
= 17 · 951943 · 82143703 · 3234727729<10> · 11627815444654599020788123095584012034297042060009246103<56>
5·1080-9 =
499999999999999999999999999999999999999999999999999999999999999999999999999999991<81>
= 19 · 220841 · 119161702191550529685682411661259505826888075464629351100184247823928575429<75>
5·1081-9 =
4999999999999999999999999999999999999999999999999999999999999999999999999999999991<82>
= 7 · 41 · 71 · 245374687147273887225793787112921431025175442901310300829366442557785738823183<78>
5·1082-9 =
49999999999999999999999999999999999999999999999999999999999999999999999999999999991<83>
= 6659 · 22131731 · 63478861727348092590329<23> · 5344615611541518519142092345809918284921565490151<49>
5·1083-9 =
499999999999999999999999999999999999999999999999999999999999999999999999999999999991<84>
= 79 · 727 · 110961527 · 37749747697<11> · 2078365976193740441100062383336673872912944560743978936605433<61>
5·1084-9 =
4999999999999999999999999999999999999999999999999999999999999999999999999999999999991<85>
= 1489 · 8110231 · 113104291 · 298174041702579883781<21> · 12277025800877865993414587167160955843749649919<47>
5·1085-9 =
49999999999999999999999999999999999999999999999999999999999999999999999999999999999991<86>
= 6959 · 106753075163519063<18> · 91917188697810839039<20> · 732227508649851536452807324744918339291975057<45>
5·1086-9 =
499999999999999999999999999999999999999999999999999999999999999999999999999999999999991<87>
= 41 · 151378134371<12> · 3509141872475244419710606441<28> · 22957366748691638034956244776056368083486004941<47>
5·1087-9 =
4999999999999999999999999999999999999999999999999999999999999999999999999999999999999991<88>
= 7 · 521 · 58376773691476430072524031586215161<35> · 23485193990349848636446526295866157622335926315473<50> (Makoto Kamada / GGNFS-0.70.3 / 0.12 hours)
5·1088-9 =
49999999999999999999999999999999999999999999999999999999999999999999999999999999999999991<89>
= 59 · 181 · 1471 · 3182927489919827785798401393765752706013549467690389513297920930861149308009283199<82>
5·1089-9 =
499999999999999999999999999999999999999999999999999999999999999999999999999999999999999991<90>
= 97 · 162413565831250443780051749375048671<36> · 31737737847671303122440366540440230001658401277094793<53> (Makoto Kamada / GGNFS-0.70.3 / 0.14 hours)
5·1090-9 =
4999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991<91>
= 86711 · 908010539 · 740344089739<12> · 532071932018171<15> · 5152716318356261<16> · 31287057758007623228017094199756431<35>
5·1091-9 =
49999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991<92>
= 23 · 41 · 81228024841<11> · 652758323951824353727357556240818253342335707674908612053157983231715722567857<78>
5·1092-9 =
499999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991<93>
= 29 · 8349124216319561<16> · 2065052437074068004782822877341142946714121539837655502163671817046124918539<76>
5·1093-9 =
4999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991<94>
= 7 · 31 · 21247 · 27767 · 30097 · 214631 · 1761165288936560670600673<25> · 3432953475170947224886585769912556978116484943457<49>
5·1094-9 =
49999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991<95>
= 354696143709150183229548791015245060881149<42> · 140965727670836636058767414943093593415177914282457859<54> (Makoto Kamada / GGNFS-0.70.7 / 0.37 hours)
5·1095-9 =
499999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991<96>
= 17 · 1685231 · 155880737 · 111961624982374121819217599431267378423627164448240506788598481186180861404932809<81>
5·1096-9 =
4999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991<97>
= 41 · 79 · 30169 · 36902830344221207221157752203260132993840861<44> · 1386559352954163391377635360968508726958495341<46> (Makoto Kamada / GGNFS-0.70.7 / 0.48 hours)
5·1097-9 =
49999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991<98>
= 113 · 911 · 1913 · 1457647 · 30909890314819640226001<23> · 5635187705408439312296494744030631542542216201939715292501167<61>
5·1098-9 =
499999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991<99>
= 19 · 684956563753379<15> · 1752415652149854896509<22> · 21923821026948839537792119463652728421315234989731018068712699<62>
5·1099-9 =
4999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991<100>
= 7 · 569 · 26879 · 977771908449855577<18> · 47764917820607985314346638631541977861910406735675432336768597198678137919<74>
5·10100-9 =
49999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991<101>
= 151 · 821 · 303148141000827874088970753549381250007681051411<48> · 1330439071767005564762632148365651514262767648111<49> (Makoto Kamada / GGNFS-0.70.7 / 0.55 hours)
5·10101-9 =
4(9)1001<102>
= 41 · 1278769 · 9536610561578762227675171371461299986120416988678269453841555585975224000200345114677646636879<94>
5·10102-9 =
4(9)1011<103>
= 340939 · 1212439 · 2261569525362799<16> · 332447192238965018667251<24> · 16087953817037230843971556060391133987658470029730079<53>
5·10103-9 =
4(9)1021<104>
= 191 · 6529 · 87559 · 36377798371166695460613531366826622119<38> · 12587884925952537232455953649996438854574145010709106489<56> (Makoto Kamada / GGNFS-0.77.1-20060722-pentium4 snfs / 0.56 hours on Pentium 4 3.06GHz, Windows XP and Cygwin / Dec 4, 2007)
5·10104-9 =
4(9)1031<105>
= 4088154397648246001<19> · 58311730260939623902609240315143265561771<41> · 2097426672871599146777887291075113076484000821<46> (Makoto Kamada / GGNFS-0.77.1-20060722-pentium4 snfs / 0.63 hours on Pentium 4 3.06GHz, Windows XP and Cygwin / Dec 4, 2007)
5·10105-9 =
4(9)1041<106>
= 7 · 4463 · 14282576012519071<17> · 11205688185000965834059749841522083253650340258447830506595340171819736421834304594081<86>
5·10106-9 =
4(9)1051<107>
= 41 · 4129 · 747199 · 1322983546008437477531<22> · 3722086387584572571968151273864809<34> · 80272001392005121869217070307656968966939<41> (Makoto Kamada / Msieve 1.30 for P34 x P41 / 5 minutes on Pentium 4 3.06GHz, Windows XP and Cygwin / Dec 4, 2007)
5·10107-9 =
4(9)1061<108>
= 6967 · 263191 · 5850527 · 18785681 · 564995839 · 1501336423<10> · 22324567030078923249500163072103<32> · 131016174149586867588671541571567559<36> (Makoto Kamada / msieve 0.81 / 1.1 minutes)
5·10108-9 =
4(9)1071<109>
= 31 · 2411 · 16369 · 26701 · 153059899788869732376402463256579131325569208425838543091562375153813326542355885760074594006679<96>
5·10109-9 =
4(9)1081<110>
= 79 · 193 · 6388411279<10> · 26057487655486109671<20> · 19699726448573631295069843301451379889117550434592936302700773592523342396817<77>
5·10110-9 =
4(9)1091<111>
= 276781 · 212343421 · 8507362144162377542449666290405608521176499443953741971027532656581764243047919043410679880110191<97>
5·10111-9 =
4(9)1101<112>
= 72 · 17 · 41 · 47 · 18289 · 108346937 · 2067944075203009<16> · 488503384541287898001242635350862627183<39> · 1556074276623079077887957445224758966631<40> (Makoto Kamada / Msieve 1.30 for P39 x P40 / 11 minutes on Pentium 4 3.06GHz, Windows XP and Cygwin / Dec 4, 2007)
5·10112-9 =
4(9)1111<113>
= 2269 · 96688519 · 128213419 · 530747994990693305737111<24> · 3349182063673997843536821433241374853654780685942215145513932434976009<70>
5·10113-9 =
4(9)1121<114>
= 23 · 263 · 200041 · 2035289 · 443952373522730358003023095039<30> · 457303931730390724716183370178707280616570660476664818059347925723369<69> (Robert Backstrom / GMP-ECM 6.0.1 B1=679000, sigma=1080636449 for P30 / Dec 4, 2007)
5·10114-9 =
4(9)1131<115>
= 2939 · 127667899 · 44008602089<11> · 14871633626749<14> · 986121964590449054101<21> · 20647231313678306986236008420106045486323509728283055958071<59>
5·10115-9 =
4(9)1141<116>
= 59751585534873732921143<23> · 836797878289233584999382844332269816242318659475841300779242302391096039780507002127866223937<93>
5·10116-9 =
4(9)1151<117>
= 19 · 412 · 71 · 514219 · 1565741 · 2129830909<10> · 377734842071<12> · 1085667354480396543467281<25> · 313540284136752558930150297045571940657055536442015199<54>
5·10117-9 =
4(9)1161<118>
= 7 · 714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285713<117>
5·10118-9 =
4(9)1171<119>
= 113451761893099661361741916560523265424931846016438394824059<60> · 440715940992725025596348804318707127294139212236448645152949<60> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 0.74 hours on Core 2 Quad Q6600 / Dec 4, 2007)
5·10119-9 =
4(9)1181<120>
= 40268313409<11> · 52156789809091053638464115390287<32> · 238065087895546991903658534383205586414208105093747838087878738808741055111577<78> (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=855499073 for P32 / Nov 27, 2007)
5·10120-9 =
4(9)1191<121>
= 29 · 196547651 · 1653356002261<13> · 16602045739944391<17> · 9794996808112422730576317751584611<34> · 3262660367109691796049236751255917325373032321289<49> (Makoto Kamada / Msieve 1.30 for P34 x P49 / 30 minutes on Pentium 4 3.06GHz, Windows XP and Cygwin / Dec 4, 2007)
5·10121-9 =
4(9)1201<122>
= 41 · 1219512195121951219512195121951219512195121951219512195121951219512195121951219512195121951219512195121951219512195121951<121>
5·10122-9 =
4(9)1211<123>
= 79 · 89 · 49227481 · 274458391549<12> · 2309294952302291<16> · 1795009917884048712971<22> · 4541192255176016497353041<25> · 279609956560408339088431886390319692669<39>
5·10123-9 =
4(9)1221<124>
= 7 · 31 · 103668634195146479<18> · 529652772019323584350569475910017<33> · 419634942345057429532843777824194673588852290057980851002408093562224161<72> (Robert Backstrom / GMP-ECM 6.0.1 B1=1994000, sigma=2017283081 for P33 / Dec 5, 2007)
5·10124-9 =
4(9)1231<125>
= 112834510063289823811<21> · 449489779543195000651111258759942012797389869<45> · 985844086264210902762592892891295128151928079697441377159249<60> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs / 1.96 hours on Cygwin on AMD 64 3200+ / Dec 5, 2007)
5·10125-9 =
4(9)1241<126>
= 50591 · 873629041 · 32879992741646331241539718817<29> · 1860428797851768428374686311931858938663<40> · 184937469846679383998774640793643608738860991<45> (Makoto Kamada / Msieve 1.30 for P40 x P45 / 46 minutes on Pentium 4 3.06GHz, Windows XP and Cygwin / Dec 4, 2007)
5·10126-9 =
4(9)1251<127>
= 41 · 6581 · 418085353489<12> · 44323015863720339833268476933555568552511055171817825815069204459776855565619386326097274027061523325297584339<110>
5·10127-9 =
4(9)1261<128>
= 17 · 325231 · 37000461073<11> · 248600828255012949297775593198871<33> · 295870235108268158213148914611133301239<39> · 3322906830428230988417416103454155117609<40> (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=2313170033 for P33 / Nov 27, 2007) (Makoto Kamada / Msieve 1.30 for P39 x P40 / 10 minutes on Pentium 4 3.06GHz, Windows XP and Cygwin / Dec 4, 2007)
5·10128-9 =
4(9)1271<129>
= 17981 · 3843931457165509<16> · 942477006562110761447064968719904363145782491<45> · 7675554588296651640866311850875593032012524032228064348193639269<64> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 3.04 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Dec 5, 2007)
5·10129-9 =
4(9)1281<130>
= 7 · 399271 · 1719378230348833617587044366277777273<37> · 1040477691594168476615746126692780490295108691699389255395317590980581957687501917021311<88> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 3.02 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Dec 5, 2007)
5·10130-9 =
4(9)1291<131>
= 61 · 819672131147540983606557377049180327868852459016393442622950819672131147540983606557377049180327868852459016393442622950819672131<129>
5·10131-9 =
4(9)1301<132>
= 41 · 5547391 · 331708005539959846200945699830264904120183676134446346135329<60> · 6627373043733457754101972925473022695394088807721914419175039809<64> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 4.40 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Dec 5, 2007)
5·10132-9 =
4(9)1311<133>
= 24997909 · 72046589 · 12260029361<11> · 1015960288572250664223007601<28> · 222886956658594907746383862055089167317440828789119815095415440728680831080111831<81>
5·10133-9 =
4(9)1321<134>
= 1388981393<10> · 4580943858133272901234098370518760018593679951<46> · 7858119105566310646465581070947787541968136461241464994014105774627915529998537<79> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 4.68 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Dec 5, 2007)
5·10134-9 =
4(9)1331<135>
= 19 · 4294946301634720547509<22> · 7661951585715267309757814664269644345249<40> · 799685573994862057768981025766325851378881906722550433228529476184746329<72> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 5.82 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Dec 5, 2007)
5·10135-9 =
4(9)1341<136>
= 7 · 23 · 79 · 17536644897128650802233<23> · 1719936531432379284578110469620659745107108719<46> · 13033411521941582112132234407177385128654436282436915981843640207<65> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 5.81 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Dec 6, 2007)
5·10136-9 =
4(9)1351<137>
= 41 · 1219512195121951219512195121951219512195121951219512195121951219512195121951219512195121951219512195121951219512195121951219512195121951<136>
5·10137-9 =
4(9)1361<138>
= 2586391 · 67013239 · 283277999 · 12781463012399<14> · 234675897030933031<18> · 9765700208842306517146009<25> · 347656157860758632788253323926488240156475456022690145059721<60>
5·10138-9 =
4(9)1371<139>
= 31 · 331 · 47544701778085020275810154894971<32> · 10248922027224896426596642095888916302984899684654067207671023535691685726894787458331153439255454505761<104> (Makoto Kamada / GMP-ECM 6.1.3 B1=50000, sigma=3996350149 for P32 / Nov 26, 2007)
5·10139-9 =
4(9)1381<140>
= 521 · 577 · 661844711151372897439201<24> · 4902389661419145802057025993<28> · 1234666770227248156342072090871<31> · 41518607355450620807985444070002441367509581972786641<53> (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=1283802494 for P31 / Nov 28, 2007)
5·10140-9 =
4(9)1391<141>
= 1557091 · 1642825231<10> · 195463038473167587940520662222486883264308800428740761022878500965139300897802840088840116411739344785400265425162655408015571<126>
5·10141-9 =
4(9)1401<142>
= 7 · 41 · 839 · 1201 · 1274671 · 45795007 · 98583161 · 172604959 · 2048640593<10> · 588228411963279153217919<24> · 14444387296375705826010716452904106251340034821926807224988063489538487<71>
5·10142-9 =
4(9)1411<143>
= 2339 · 7678802901535212851801<22> · 117630389300918643864328074179<30> · 13290764272933581140590846123083681578082559<44> · 1780642654590329845797643787582718386220435529<46> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 15.52 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Dec 6, 2007)
5·10143-9 =
4(9)1421<144>
= 17 · 285720265191441664337755675562698371459936363289423581013937<60> · 102939022145228428989427304065983196665834399279521532082685405829806319911074359479<84> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 11.80 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Dec 6, 2007)
5·10144-9 =
4(9)1431<145>
= 11821 · 422976059555029185348109297013789019541493951442348363082649522037052702817020556636494374418407918111834870146349716606040098130445816766771<141>
5·10145-9 =
4(9)1441<146>
= 761 · 722311211811443489<18> · 90962207514756273437470627999534055252957719010504306563992622925395959061556261858830936389824667546819826986872709453371279<125>
5·10146-9 =
4(9)1451<147>
= 41 · 59 · 5970268730389741<16> · 89514634314987140562070529941642327551603414368208045052321<59> · 386764152467374483050690533716910166621405836972248541038074724385249<69> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs / 8.86 hours on Cygwin on AMD 64 3400+ / Dec 10, 2007)
5·10147-9 =
4(9)1461<148>
= 7 · 30804104085199<14> · 23188004829165602812995486582609636182325813508087665872012530202343126909481075791876176931561694373372765096407267708124588991446687<134>
5·10148-9 =
4(9)1471<149>
= 29 · 792 · 109 · 752100379 · 3528305141284807144178302848697901<34> · 955101178320483387652564653901091192062550077009781733001890240341202021273986351553940732976675729<99> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 10.19 hours on Core 2 Quad Q6600 / Dec 7, 2007)
5·10149-9 =
4(9)1481<150>
= 8204938527134416079<19> · 60938908725087737739078226900423525825859334463132261253554202452331623580046524674061851568548120203201586029319066409546270090329<131>
5·10150-9 =
4(9)1491<151>
= 279919 · 1396178096581<13> · 5250464615140839671<19> · 4663917461528399663647104379<28> · 522454186926086380723528288345256744208246073787532985011208416725624653541884566138841<87>
5·10151-9 =
4(9)1501<152>
= 41 · 71 · 5849 · 301673 · 2377056670405894456247259031<28> · 7216593624182899656979319751461431<34> · 567463522224990994815587976391783657930851218965846028456860191438113244343673<78> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 12.78 hours on Core 2 Quad Q6600 / Dec 8, 2007)
5·10152-9 =
4(9)1511<153>
= 19 · 199 · 1451 · 94201 · 2456042554669170698593684758425118153245909492210089<52> · 393916809814646016551948100067256455621282070935459752206741992118247884075792950119651649<90> (Robert Backstrom / GGNFS-0.77.1-20060513-athlon-xp snfs, Msieve 1.30 / Dec 14, 2007)
5·10153-9 =
4(9)1521<154>
= 72 · 31 · 233 · 367 · 190668767 · 15049933389679<14> · 394436722224962502210435443374249441<36> · 34009384186180731129927406696605787600972387399376193654041569409619395347174902797719823<89> (Jo Yeong Uk / GMP-ECM 6.1.3 B1=1000000, sigma=914284303 for P36 / Dec 5, 2007)
5·10154-9 =
4(9)1531<155>
= 20431 · 52699109 · 32997845429069<14> · 307535008641326161<18> · 29858758013316752254424575775237339<35> · 153258730444147188544171970047926818140030968120876657797177159787574781970379<78> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 16.32 hours on Core 2 Quad Q6600 / Dec 9, 2007)
5·10155-9 =
4(9)1541<156>
= 52249831 · 12577330540482969770037590027834896246509937898150565038352486568081<68> · 760845786107138460535930299805308106874138122028043088814610693093595148504742881<81> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs, Msieve 1.30 / Dec 11, 2007)
5·10156-9 =
4(9)1551<157>
= 41 · 3331 · 35969 · 1017848523704938603825921317057295144713386404779138047350667126900583686640549559755179247859037923439803191138293835308463745407841774837909510709<148>
5·10157-9 =
4(9)1561<158>
= 23 · 47 · 32993 · 64414577002263313514982818321328963237311<41> · 21763981302826500962913776820417810329105314486317929333032864905086682541577240814547337472885523445053489457<110> (Robert Backstrom / GMP-ECM 6.0.1 B1=3594000, sigma=500330710 for P41 / Dec 8, 2007)
5·10158-9 =
4(9)1571<159>
= 192370543578919<15> · 255761895497279<15> · 6553146809446631<16> · 916954738515527411860196269384889891<36> · 1691210995646724198680462578472437912581425581533448011756847939729769453981971<79> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 25.62 hours on Core 2 Quad Q6600 / Dec 14, 2007)
5·10159-9 =
4(9)1581<160>
= 7 · 17 · 857 · 49027779139660531657236990478805291077924752164576449016012472667013129639253601090377808066050224056950668248629673573046488140180226116117392114372003177<155>
5·10160-9 =
4(9)1591<161>
= 1301 · 16619 · 21101 · 1275702177331<13> · 85908371335931054388345480279856770371684771325906425791310657684001908497784611102498140601439381805555342897809038594301742061297659319<137>
5·10161-9 =
4(9)1601<162>
= 41 · 79 · 673 · 4447 · 32719 · 80681 · 5680586536857751<16> · 796598644754494734847207<24> · 4317902435662047712886370329571397735002934322367992697539788730875847585558966813303092015376850978713<103>
5·10162-9 =
4(9)1611<163>
= 68385977371361886229008858431010504877885471<44> · 10358845079111018892823016494495871163939965326959587059<56> · 7058161771042422170571387133040680162138563583374078964992316019<64> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 48.82 hours on Core 2 Quad Q6600 / Dec 8, 2007)
5·10163-9 =
4(9)1621<164>
= 7859233 · 6361943970868404079634742983189326490256746428054747836080187468675378373436695412898434236521553693598344774865435342100176951109605733791070960741334427927<157>
5·10164-9 =
4(9)1631<165>
= 2671 · 77632909 · 12338521168499<14> · 4339455695928017012813559346271651<34> · 2130438876068504052547916867650293287718131453411<49> · 21138920651137598568207584663615217929520666173979820026871<59> (Robert Backstrom / GMP-ECM 6.1.3 B1=1740000, sigma=266170674 for P34, GGNFS-0.77.1-20050930-k8 gnfs, Msieve 1.33 for P49 x P59 / Jan 28, 2008)
5·10165-9 =
4(9)1641<166>
= 7 · 13217 · 336823 · 1342533894911660570883052922081<31> · 119512154447369993096909044394391318996270357547417000595464931160151177572348506968462422136153224479859451686838281653482103<126> (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=1298044432 for P31 / Nov 30, 2007)
5·10166-9 =
4(9)1651<167>
= 41 · 89 · 809 · 16811 · 1289694079831<13> · 47803986587156910009154269051461<32> · 423642819486377500810088159556192139680472557229<48> · 38574774798609590656685912133706632252046886635615382500322326219<65> (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=3081156423 for P32 / Nov 30, 2007) (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona gnfs for P48 x P65 / 20.00 hours on Core 2 Quad Q6600 / Dec 10, 2007)
5·10167-9 =
4(9)1661<168>
= 487 · 222337 · 23014727 · 5713048030476121<16> · 6789977630872169<16> · 15940947410658887<17> · 149782322840456863<18> · 7822504642349087095520767<25> · 276927914605709354554139056324848980453331776912673738691936609<63>
5·10168-9 =
4(9)1671<169>
= 31 · 29150029 · 97690322401972470211<20> · 285672459115302906984888083354597717349768178359030194770540009<63> · 198266528819518056600744503449893297480133294347181748253063893651091266424791<78> (Dmitry Domanov / GGNFS-0.77.1-VC8 snfs / 52.63 hours / May 15, 2009)
5·10169-9 =
4(9)1681<170>
= 103867969519<12> · 481380354613110765223449327761764542557332592232975929577341524309190534798366110727051845335110887467891563415130208115915138264040218606403351771292075911289<159>
5·10170-9 =
4(9)1691<171>
= 19 · 1319 · 586499 · 4253651 · 287762731 · 1571627699671<13> · 17683094034770883331648607350013031106409399535639596526876536282293288877417087935971065596970377855594766306964692797065815656183519<134>
5·10171-9 =
4(9)1701<172>
= 7 · 41 · 1363684689367687199660001585916252959225073<43> · 12775389298778802140820274185385735600606854567622114532762344954306460995067145385939039085787137146377153359945100703455866041<128> (Robert Backstrom / GMP-ECM 6.1.3 B1=6672000, sigma=1353186009 for P43 / Dec 27, 2007)
5·10172-9 =
4(9)1711<173>
= definitely prime number
5·10173-9 =
4(9)1721<174>
= definitely prime number
5·10174-9 =
4(9)1731<175>
= 79 · 20231 · 380865912571<12> · 4898129851235367957577260784211<31> · 25158602557607514185108391856771<32> · 66655601088375936617029929517464180898864177819526417473641257139155693161396991319152846401109<95> (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=3973875319 for P31 / Nov 30, 2007) (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=1681252270 for P32 / Nov 30, 2007)
5·10175-9 =
4(9)1741<176>
= 17 · 151 · 20047 · 4522729 · 263806054829311<15> · [814346849105433026587184984693379979159921862949607103602056869970674308851209491115434146595788024292713227034123102349498046376605687283287509561<147>] SUBMIT/RESERVE
5·10176-9 =
4(9)1751<177>
= 29 · 41 · 179 · 152816237805229<15> · 473714134180151<15> · [32452583217797733946855239496696713634499414553030405737987209797745873900969551181250131058830139824117973838459244140584683880621830253500859<143>] SUBMIT/RESERVE
5·10177-9 =
4(9)1761<178>
= 7 · 177059483635231<15> · [4034156768226262400625832750645532618487163342228300918890968936567408802213852919962531922187791539086563799289918323657254658645785045127990155221380602327193423<163>] SUBMIT/RESERVE
5·10178-9 =
4(9)1771<179>
= 782577620029453544339<21> · [63891425873024801111954788889059187665618026061230063752101552288701637321591178899808835589041249636495115169957867556683686440148042370080972369652954595469<158>] SUBMIT/RESERVE
5·10179-9 =
4(9)1781<180>
= 23 · 113846311 · 6556836617<10> · 3117103844759<13> · 35206166371893958756001<23> · 744371522380443488711993<24> · 1236102068207771676626761<25> · 288412947506411033293333096187578610444338168455276636082084550125168338792313<78>
5·10180-9 =
4(9)1791<181>
= 701 · 7132667617689015691868758915834522111269614835948644793152639087018544935805991440798858773181169757489300998573466476462196861626248216833095577746077032810271041369472182596291<178>
5·10181-9 =
4(9)1801<182>
= 41 · 716537413383839293779526153751<30> · [1701951876263961688320518423723732952558913879977403679630937352127102519641470860122331975385460696209585658141802849509672762928419800751567795718201<151>] (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=3230981753 for P30 / Dec 1, 2007) SUBMIT/RESERVE
5·10182-9 =
4(9)1811<183>
= 709 · 543567301 · 54571508805559<14> · 75730195413089804249820480694771<32> · [313931869964645436166903481274618282296450528024981861101110900348370925684809758208142245133617606646248121632183690389117491<126>] (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=45527799 for P32 / Dec 1, 2007) SUBMIT/RESERVE
5·10183-9 =
4(9)1821<184>
= 7 · 31 · 3165713 · 77472287910551479367<20> · [93949040516629962435061239721493549452086382942492026324376396964628175032607883758795938126495833124599204609699474218409066607064899416838237505561846313<155>] SUBMIT/RESERVE
5·10184-9 =
4(9)1831<185>
= 144289 · 39454991 · 214759040851<12> · 40896239592928633574423963215552117749878587355705556108081210811099980402990371487759127277796426148224218730825458530393823684794729659162029232896117162707459<161>
5·10185-9 =
4(9)1841<186>
= 97 · 2087 · 17261800756543759374730765771639<32> · 143083554866769401592781288644870597012520617279293001268536643044307613502662804771215116961137718816005034379913868957907183654172777638690597726071<150> (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=2991607952 for P32 / Dec 2, 2007)
5·10186-9 =
4(9)1851<187>
= 41 · 71 · 331249799 · 2021736601<10> · [2564765138774377852866737584690272117522957063427220218552309628253207246207068020191542270581631549221339003904884670202322185345622309464495144684256227074722108519<166>] SUBMIT/RESERVE
5·10187-9 =
4(9)1861<188>
= 79 · 383 · 503 · 35673353 · 4091947081<10> · 15811261488761<14> · 45965797331571209<17> · [30967125564716283061568564024767246845894561030699635545073035951593262834657059559642547302094098596230080952290801214506068294173953<134>] SUBMIT/RESERVE
5·10188-9 =
4(9)1871<189>
= 19 · 13802153877821<14> · [1906643680880247301441754998280441912271222439125798546825859943768266358713198310561095529897715981219833614070227053485309734560087326405800136648963949345730883268498747409<175>] SUBMIT/RESERVE
5·10189-9 =
4(9)1881<190>
= 7 · 714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285713<189>
5·10190-9 =
4(9)1891<191>
= 61 · 409 · 47568134021252279670958230004481<32> · 42130900895096262260841447387806243682255781771378005956259860699611715275397274609349024640992587587106601079256289499605009903500893334162184491530113339<155> (matsui / GMP-ECM 6.0 B1=63126276, sigma=2608118781 for P32 / Jan 14, 2008)
5·10191-9 =
4(9)1901<192>
= 17 · 41 · 463 · 521 · 2879 · 63103 · 1040153 · 2819407 · 400251252776317417351<21> · 13945662184552357230979445734626185709010400411628693696698655581165879801135419531638886682970117406072033057150211745934996040242532071392793<143>
5·10192-9 =
4(9)1911<193>
= 3001 · 81839 · 32917561 · 525862408336157891<18> · [1176099105795842321003460876346126937143361413883049377681085729669981325591559208570442088938464713822400044109340423514612067261208855668111938309982575642819<160>] SUBMIT/RESERVE
5·10193-9 =
4(9)1921<194>
= 2111 · 46280192363403452945907094423911587820648171502970737<53> · 511783895437135635957154567370339647742796615436941073014585973056439262887348563848497984154002794113583812498276542761057932913246823513<138> (Wataru Sakai / Msieve / 514.11 hours / Feb 22, 2009)
5·10194-9 =
4(9)1931<195>
= 311 · 568077914109210905300509346220531359<36> · 132431729646308774647525574567728230397013165316585384835709<60> · 21370252768992179896389372845940321522055761100150580614076984207751248231030310254841786517307851<98> (Wataru Sakai / GGNFS-0.77.1-20060722-nocona snfs / 2068.37 hours / Oct 18, 2008)
5·10195-9 =
4(9)1941<196>
= 73 · 670130221721<12> · 121197506550469543<18> · 17419805216903852207<20> · [10303379598191586330858265867696335918696020778642126223321477713749915980672659488590779723511770749202266259424465774124970837118269128204214497<146>] SUBMIT/RESERVE
5·10196-9 =
4(9)1951<197>
= 41 · 9401854351<10> · 113326059632188225855489<24> · [1144571269004122015126473162021665822069630855800863769491401872727303882051673618016074293866198362055689086153303887844158212852243278051450551173504713329853809<163>] SUBMIT/RESERVE
5·10197-9 =
4(9)1961<198>
= 823 · 3257 · 34031 · 6940928766071<13> · 76433656928038861510273<23> · 2168632766838689918632576115783405377195649<43> · 4764194222655886177034856326166901781481228840032171605198783310162696238849016167824739197316648246761058353<109> (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=3644175409 for P43 / Oct 22, 2008)
5·10198-9 =
4(9)1971<199>
= 312 · 149 · 191 · 32159 · 73121 · 5383451 · 7870321 · 76463397682249<14> · 277157198615736049907561<24> · 55365484228668070084645651<26> · 1266723745657829018111835301<28> · 1234605886084633425685302685824646300558581673365398822043899334171647853679199<79>
5·10199-9 =
4(9)1981<200>
= 1224112416041742410052808832168959<34> · 40845921783620723265274965609618243098936302659169196754666765677273901878095642440080026040452661066087357309697423682859960350348666458327845592281510888305426519049<167> (Jo Yeong Uk / GMP-ECM 6.1.3 B1=3000000, sigma=3511593206 for P34 / Dec 6, 2007)
5·10200-9 =
4(9)1991<201>
= 79 · 4565579173849692757873296750073841<34> · [1386267477366716881025736493978991704108086368524410882780963548849099077745191410286959757712217661501763612288987394960172120415770934106869087379738850488433099369<166>] (matsui / GMP-ECM 6.0 B1=61403276, sigma=1148756598 for P34 / Jan 12, 2008) SUBMIT/RESERVE

4. References

Copyright (C) 1999-2009 Makoto Kamada All Rights Reserved.