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Factorizations
Factorizations of 700...0092008-08-15(Fri) 00:15

Last update

Aug 15, 2008 00:15 JST

Sequence

79, 709, 7009, 70009, 700009, ...

General term

7·10n+9

Room for prime numbers

upper limit of periods: 10000
upper limit of periodical factors: 4294967296
checked terms: 100000000
terms divided by periodical factors: 69285888
room for prime numbers: 30.71%

Prime numbers

  1. 7·101+9 = 79 is prime. (Julien Peter Benney / Sep 5, 2004)
  2. 7·102+9 = 709 is prime. (Julien Peter Benney / Sep 5, 2004)
  3. 7·104+9 = 70009 is prime. (Julien Peter Benney / Sep 5, 2004)
  4. 7·106+9 = 7000009 is prime. (Julien Peter Benney / Sep 5, 2004)
  5. 7·1011+9 = 7(0)109<12> is prime. (Julien Peter Benney / Sep 5, 2004)
  6. 7·1012+9 = 7(0)119<13> is prime. (Julien Peter Benney / Sep 5, 2004)
  7. 7·1013+9 = 7(0)129<14> is prime. (Julien Peter Benney / Sep 5, 2004)
  8. 7·1035+9 = 7(0)349<36> is prime. (Julien Peter Benney / Sep 5, 2004)
  9. 7·1046+9 = 7(0)459<47> is prime. (Julien Peter Benney / Sep 5, 2004)
  10. 7·1057+9 = 7(0)569<58> is prime. (Julien Peter Benney / Sep 5, 2004)
  11. 7·10128+9 = 7(0)1279<129> is prime. (Julien Peter Benney / Sep 5, 2004)
  12. 7·10156+9 = 7(0)1559<157> is prime. (Julien Peter Benney / Sep 5, 2004)
  13. 7·10263+9 = 7(0)2629<264> is prime. (Julien Peter Benney / Sep 5, 2004)
  14. 7·10353+9 = 7(0)3529<354> is prime. (Julien Peter Benney / Sep 5, 2004)
  15. 7·10396+9 = 7(0)3959<397> is prime. (Julien Peter Benney / Sep 5, 2004)
  16. 7·10429+9 = 7(0)4289<430> is prime. (Julien Peter Benney / Sep 5, 2004)
  17. 7·10783+9 = 7(0)7829<784> is prime. (Julien Peter Benney / Sep 5, 2004)
  18. 7·10982+9 = 7(0)9819<983> is prime. (Julien Peter Benney / Sep 5, 2004)
  19. 7·101058+9 = 7(0)10579<1059> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Sep 14, 2006)
  20. 7·101563+9 = 7(0)15629<1564> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Sep 4, 2006)
  21. 7·101695+9 = 7(0)16949<1696> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Aug 21, 2006)
  22. 7·101816+9 = 7(0)18159<1817> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Jul 18, 2006)
  23. 7·101937+9 = 7(0)19369<1938> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Jun 11, 2006)
  24. 7·104236+9 = 7(0)42359<4237> is PRP. (Makoto Kamada / PFGW / Dec 19, 2004)
  25. 7·104431+9 = 7(0)44309<4432> is PRP. (Makoto Kamada / PFGW / Dec 19, 2004)
  26. 7·106858+9 = 7(0)68579<6859> is PRP. (Makoto Kamada / PFGW / Dec 24, 2004)
  27. 7·109898+9 = 7(0)98979<9899> is PRP. (Makoto Kamada / PFGW / Jan 6, 2005)
  28. 7·1013145+9 = 7(0)131449<13146> is PRP. (Sinkiti Sibata / PFGW / Jan 12, 2008)
  29. 7·1016646+9 = 7(0)166459<16647> is PRP. (Sinkiti Sibata / PFGW / Jan 12, 2008)
  30. 7·1020891+9 = 7(0)208909<20892> is PRP. (Sinkiti Sibata / PFGW / Jan 12, 2008)
Searched:
References:

Condition

n≤200

Status

Completed up to n=100. (Jan 6, 2005)
Completed up to n=150. (Jan 6, 2008)
The following numbers are not factored yet. (n≤200)
n= 167, 169, 174, 180, 183, 185, 186, 188, 190, 193, 194, 197, 198, 200 (14/200)

Factorization results

7·101+9 =
79
= definitely prime number
7·102+9 =
709
= definitely prime number
7·103+9 =
7009
= 43 · 163
7·104+9 =
70009
= definitely prime number
7·105+9 =
700009
= 17 · 41177
7·106+9 =
7000009
= definitely prime number
7·107+9 =
70000009
= 19 · 3684211
7·108+9 =
700000009
= 23 · 30434783
7·109+9 =
7000000009<10>
= 20441 · 342449
7·1010+9 =
70000000009<11>
= 151 · 4027 · 115117
7·1011+9 =
700000000009<12>
= definitely prime number
7·1012+9 =
7000000000009<13>
= definitely prime number
7·1013+9 =
70000000000009<14>
= definitely prime number
7·1014+9 =
700000000000009<15>
= 79 · 16657 · 531954103
7·1015+9 =
7000000000000009<16>
= 877 · 1439 · 8539 · 649577
7·1016+9 =
70000000000000009<17>
= 27799 · 2518076189791<13>
7·1017+9 =
700000000000000009<18>
= 1193 · 3202429 · 183222197
7·1018+9 =
7000000000000000009<19>
= 659 · 3287033 · 3231532747<10>
7·1019+9 =
70000000000000000009<20>
= 71 · 131 · 859 · 28813 · 304079227
7·1020+9 =
700000000000000000009<21>
= 29 · 263 · 281 · 541 · 10691 · 56470597
7·1021+9 =
7000000000000000000009<22>
= 17 · 47 · 449 · 32323 · 434827 · 1388279
7·1022+9 =
70000000000000000000009<23>
= 67 · 109 · 9585102012871422703<19>
7·1023+9 =
700000000000000000000009<24>
= 107 · 1481 · 55949 · 78952679772623<14>
7·1024+9 =
7000000000000000000000009<25>
= 43 · 162790697674418604651163<24>
7·1025+9 =
70000000000000000000000009<26>
= 19 · 352907 · 20050867 · 520656158819<12>
7·1026+9 =
700000000000000000000000009<27>
= 204210427 · 3427836718641208267<19>
7·1027+9 =
7000000000000000000000000009<28>
= 79 · 7933 · 77069 · 3450841 · 41998020503<11>
7·1028+9 =
70000000000000000000000000009<29>
= 457 · 23535344681<11> · 6508205789925977<16>
7·1029+9 =
700000000000000000000000000009<30>
= 9479 · 8239503005911<13> · 8962610027561<13>
7·1030+9 =
7000000000000000000000000000009<31>
= 23 · 113 · 16829 · 160041808407503756809979<24>
7·1031+9 =
70000000000000000000000000000009<32>
= 61 · 181 · 223 · 1447 · 19647904383246525977329<23>
7·1032+9 =
700000000000000000000000000000009<33>
= 193 · 3626943005181347150259067357513<31>
7·1033+9 =
7000000000000000000000000000000009<34>
= 20327 · 143529639109<12> · 2399292298572378563<19>
7·1034+9 =
70000000000000000000000000000000009<35>
= 191 · 126562013 · 11818712641<11> · 245014127010403<15>
7·1035+9 =
700000000000000000000000000000000009<36>
= definitely prime number
7·1036+9 =
7000000000000000000000000000000000009<37>
= 1873 · 12956687 · 288447178495164798949064759<27>
7·1037+9 =
70000000000000000000000000000000000009<38>
= 17 · 1949 · 9769 · 216265463285713707093831902917<30>
7·1038+9 =
700000000000000000000000000000000000009<39>
= 487 · 967681051 · 6963480427<10> · 213309639997050391<18>
7·1039+9 =
7000000000000000000000000000000000000009<40>
= 101419 · 171673 · 252139 · 1594544681637890958259513<25>
7·1040+9 =
70000000000000000000000000000000000000009<41>
= 79 · 886075949367088607594936708860759493671<39>
7·1041+9 =
700000000000000000000000000000000000000009<42>
= 120519401 · 85926268743971<14> · 67595085558292172779<20>
7·1042+9 =
7000000000000000000000000000000000000000009<43>
= 48157 · 145357891895259256182901758830491932637<39>
7·1043+9 =
70000000000000000000000000000000000000000009<44>
= 19 · 919 · 51234396154499<14> · 78246929740708200446966231<26>
7·1044+9 =
700000000000000000000000000000000000000000009<45>
= 840473 · 257786505651938167<18> · 3230829904291494662999<22>
7·1045+9 =
7000000000000000000000000000000000000000000009<46>
= 43 · 859 · 189511871565097327882610932127676855185857<42>
7·1046+9 =
70000000000000000000000000000000000000000000009<47>
= definitely prime number
7·1047+9 =
700000000000000000000000000000000000000000000009<48>
= 4701007 · 1623191192171<13> · 1847877476171<13> · 49643717185908607<17>
7·1048+9 =
7000000000000000000000000000000000000000000000009<49>
= 29 · 281 · 569 · 17255659 · 11344175797103<14> · 7712176460324353310857<22>
7·1049+9 =
70000000000000000000000000000000000000000000000009<50>
= 59 · 827 · 443308743433<12> · 19644238664903<14> · 164739984164352419087<21>
7·1050+9 =
700000000000000000000000000000000000000000000000009<51>
= 242197 · 61186913 · 25649334250026967<17> · 1841597177856907728707<22>
7·1051+9 =
7000000000000000000000000000000000000000000000000009<52>
= 1217 · 855495572903<12> · 6723411541485294002391022082642690959<37>
7·1052+9 =
70000000000000000000000000000000000000000000000000009<53>
= 23 · 131013823553<12> · 23230207151677885641986293215851481626911<41>
7·1053+9 =
700000000000000000000000000000000000000000000000000009<54>
= 17 · 79 · 449 · 21764804308696842811289<23> · 53336058646330967457968783<26>
7·1054+9 =
7000000000000000000000000000000000000000000000000000009<55>
= 71 · 3719 · 26510231055599528875322383345515415699358831126041<50>
7·1055+9 =
70000000000000000000000000000000000000000000000000000009<56>
= 67 · 10931185103<11> · 9572476459174557929933<22> · 9984623239965226716673<22>
7·1056+9 =
700000000000000000000000000000000000000000000000000000009<57>
= 78467 · 143788273087061<15> · 62042247729925794011845520259480946807<38>
7·1057+9 =
7000000000000000000000000000000000000000000000000000000009<58>
= definitely prime number
7·1058+9 =
70000000000000000000000000000000000000000000000000000000009<59>
= 5903 · 91701241993<11> · 129315337924178525525579656283170740212188271<45>
7·1059+9 =
700000000000000000000000000000000000000000000000000000000009<60>
= 557 · 22905803 · 54865245087092980712655831162258303308562443028679<50>
7·1060+9 =
7000000000000000000000000000000000000000000000000000000000009<61>
= 211241 · 741089340342522979900849807<27> · 44714590598028517313544881807<29>
7·1061+9 =
70000000000000000000000000000000000000000000000000000000000009<62>
= 19 · 31081 · 118535778331321047382137335552774668565496944316971444731<57>
7·1062+9 =
700000000000000000000000000000000000000000000000000000000000009<63>
= 863 · 5187529 · 690502741961<12> · 226444251005424783577586635968702145187047<42>
7·1063+9 =
7000000000000000000000000000000000000000000000000000000000000009<64>
= 277 · 32237 · 783905392026047160420303194448068451514723591039244655641<57>
7·1064+9 =
70000000000000000000000000000000000000000000000000000000000000009<65>
= 373 · 237563 · 305243 · 985951 · 12645444346367557<17> · 207575105615882143938301319191<30>
7·1065+9 =
700000000000000000000000000000000000000000000000000000000000000009<66>
= 6048417516291349105982927<25> · 115732751271643755748964426131477664985767<42>
7·1066+9 =
7000000000000000000000000000000000000000000000000000000000000000009<67>
= 43 · 79 · 2641153 · 6526006592636621707<19> · 119553260452091513680556641268385281407<39>
7·1067+9 =
70000000000000000000000000000000000000000000000000000000000000000009<68>
= 47 · 69954188648521<14> · 21290529286399611001458883063668216977532204028481807<53>
7·1068+9 =
700000000000000000000000000000000000000000000000000000000000000000009<69>
= 5651 · 43607 · 44805762988967<14> · 2972925572809123<16> · 21325469868482152381698160379057<32>
7·1069+9 =
7000000000000000000000000000000000000000000000000000000000000000000009<70>
= 17 · 349 · 61609 · 5640659 · 59036293414333007761<20> · 57508309817395078703586803119119703<35>
7·1070+9 =
70000000000000000000000000000000000000000000000000000000000000000000009<71>
= 465019 · 434399235662192417854645016863<30> · 346527966216006934093866590901664597<36>
7·1071+9 =
700000000000000000000000000000000000000000000000000000000000000000000009<72>
= 197 · 859 · 4136553541776236090838715777406144554818198471838934423807638441583<67>
7·1072+9 =
7000000000000000000000000000000000000000000000000000000000000000000000009<73>
= 233 · 1801 · 5527 · 3018136945101827846640550851280594492575016842573094354013427599<64>
7·1073+9 =
70000000000000000000000000000000000000000000000000000000000000000000000009<74>
= 937 · 250574420293<12> · 298141007575255871954857510732803333529062791498708743837549<60>
7·1074+9 =
700000000000000000000000000000000000000000000000000000000000000000000000009<75>
= 23 · 91499 · 1119607768190851<16> · 297089944930600386230116362839754953499166365277988767<54>
7·1075+9 =
7000000000000000000000000000000000000000000000000000000000000000000000000009<76>
= 257 · 983 · 28663 · 9071071 · 2122034614317923<16> · 50220233216195766083476502047338857210480141<44>
7·1076+9 =
70000000000000000000000000000000000000000000000000000000000000000000000000009<77>
= 292 · 107 · 281 · 723305758989896028503<21> · 60360623105619331704941<23> · 63406869117783782665959889<26>
7·1077+9 =
700000000000000000000000000000000000000000000000000000000000000000000000000009<78>
= 1642401418519<13> · 60628024151059741601<20> · 7029837945564956563717259084559392532426890111<46>
7·1078+9 =
7000000000000000000000000000000000000000000000000000000000000000000000000000009<79>
= 2293 · 13618138913222419<17> · 2526130236518567157139686491<28> · 88740217368567791577354562795397<32>
7·1079+9 =
70000000000000000000000000000000000000000000000000000000000000000000000000000009<80>
= 19 · 79 · 46635576282478347768154563624250499666888740839440373084610259826782145236509<77>
7·1080+9 =
700000000000000000000000000000000000000000000000000000000000000000000000000000009<81>
= 359 · 499 · 617 · 7596987486736183<16> · 833636018515171588630689394493964996535303849494737014459<57>
7·1081+9 =
7000000000000000000000000000000000000000000000000000000000000000000000000000000009<82>
= 27281 · 40823 · 10454893 · 24740579 · 50937592817389633<17> · 477051173441630706632964254786706507175193<42>
7·1082+9 =
70000000000000000000000000000000000000000000000000000000000000000000000000000000009<83>
= 167075853715073150370580900627412736733<39> · 418971374040537262136509954808509552383244573<45> (Makoto Kamada / GGNFS-0.70.1 / 0.15 hours)
7·1083+9 =
700000000000000000000000000000000000000000000000000000000000000000000000000000000009<84>
= 79907 · 4063888531<10> · 20184857747309<14> · 106793724692631639049251839062069047292711422225874728853<57>
7·1084+9 =
7000000000000000000000000000000000000000000000000000000000000000000000000000000000009<85>
= 163 · 6977699 · 6710484539084048227<19> · 917158350067645905221635199150479267975606220368681639691<57>
7·1085+9 =
70000000000000000000000000000000000000000000000000000000000000000000000000000000000009<86>
= 173 · 151 · 449 · 55717 · 138661 · 801379 · 798786683301854780536807<24> · 42492977321077180098864565258718106187<38>
7·1086+9 =
700000000000000000000000000000000000000000000000000000000000000000000000000000000000009<87>
= 2797 · 444481759 · 1019874043991659763<19> · 30273181587465751433<20> · 18236732420087682636477399670087316377<38>
7·1087+9 =
7000000000000000000000000000000000000000000000000000000000000000000000000000000000000009<88>
= 43 · 367 · 631 · 2333 · 379675468104975569507851287583455701<36> · 793609549572695958809463246839215205709043<42> (Makoto Kamada / GGNFS-0.70.3 / 0.14 hours)
7·1088+9 =
70000000000000000000000000000000000000000000000000000000000000000000000000000000000000009<89>
= 67 · 3813320430482584897<19> · 273980678636745492968436892543646981886844336400770545036172697817091<69>
7·1089+9 =
700000000000000000000000000000000000000000000000000000000000000000000000000000000000000009<90>
= 71 · 5144137 · 14970301720602258659<20> · 128025538581723488113085667389823716643949805042499130142979613<63>
7·1090+9 =
7000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009<91>
= 1171 · 78943097 · 955925779 · 553136106177407<15> · 9928364066843041<16> · 538389234192706733<18> · 26791482260390335623923<23>
7·1091+9 =
70000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009<92>
= 61 · 974525312202979<15> · 1177538406891109882999970487095363870360161132049811419623539214338249266911<76>
7·1092+9 =
700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009<93>
= 79 · 804794537 · 281820921747467<15> · 48419090909979409<17> · 1150331627039384939<19> · 701411700975700891542634958748599<33>
7·1093+9 =
7000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009<94>
= 1931525560532379611828597<25> · 8493504453105943675344690947<28> · 426688228328632219731864821441872241107351<42>
7·1094+9 =
70000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009<95>
= 1184143 · 28797097911635416843<20> · 2707792052020081837937001065947<31> · 758105863780678661696468308653728625103<39>
7·1095+9 =
700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009<96>
= 97 · 7883 · 284495767 · 3649441712383<13> · 881723749110778547745463173920442011351761043891808817415911865261219<69>
7·1096+9 =
7000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009<97>
= 23 · 261681017142371<15> · 1163048926553858826590890999869650281547675018433814099782884404607443543593842773<82>
7·1097+9 =
70000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009<98>
= 19 · 811 · 859 · 1644778867728908218920884538694016635939<40> · 3215310387189339704401643466305177773889152018717801<52> (Makoto Kamada / GGNFS-0.71.1 / 0.39 hours)
7·1098+9 =
700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009<99>
= 90134957097298412415517939703042550426093953<44> · 7766132281445118550469665335727565287093245925905148553<55> (Makoto Kamada / GGNFS-0.71.1 / 0.45 hours)
7·1099+9 =
7000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009<100>
= 347 · 5399 · 4424297 · 94319243 · 5460926309<10> · 1639624284375011250725028184720090108366648651284148654987640513234627<70>
7·10100+9 =
70000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009<101>
= 2807407 · 2696521381<10> · 9246743131131275525268956831069119650598215051337680630206052050681917897719449485627<85>
7·10101+9 =
7(0)1009<102>
= 17 · 1195171 · 10093073041<11> · 1141491062093<13> · 6816843339359<13> · 222425583223705217<18> · 1972218775775487346053182910564062535425233<43>
7·10102+9 =
7(0)1019<103>
= 74327033867<11> · 94178384846161427409298611934881128007061199629452986792359388959120832556873865437227376827<92>
7·10103+9 =
7(0)1029<104>
= 1322303 · 175413060197<12> · 18601207415083382495673520849507<32> · 16224226329602992494408594220167485034345604456610538457<56> (Makoto Kamada / Msieve 1.32 for P32 x P56 / 58 minutes on Pentium 4 3.06GHz, Windows XP and Cygwin / Jan 3, 2008)
7·10104+9 =
7(0)1039<105>
= 29 · 281 · 10789 · 30826441 · 856947697688560950353963<24> · 301394155000477856124869466782953046791096870630788358403760016043<66>
7·10105+9 =
7(0)1049<106>
= 79 · 10637261 · 8318791270504038195969629396222311<34> · 1001338480283179533185354391486823283844709104688443364311218501<64> (Makoto Kamada / GGNFS-0.77.1-20060722-pentium4 snfs / 0.96 hours on Pentium 4 3.06GHz, Windows XP and Cygwin / Jan 3, 2008)
7·10106+9 =
7(0)1059<107>
= 3055942594605966133736882793338027745532585094621291<52> · 22906189443334688813980345055166133027697472308319774299<56> (Makoto Kamada / GGNFS-0.77.1-20060722-pentium4 snfs / 1.05 hours on Pentium 4 3.06GHz, Windows XP and Cygwin / Jan 3, 2008)
7·10107+9 =
7(0)1069<108>
= 59 · 11864406779661016949152542372881355932203389830508474576271186440677966101694915254237288135593220338983051<107>
7·10108+9 =
7(0)1079<109>
= 43 · 29624633747<11> · 5495112583152321415640109135343985341613991052818995528579712407365368184391974439324122075117529<97>
7·10109+9 =
7(0)1089<110>
= 167 · 689474766488007339917729573565184093250917<42> · 607943462212256967518618419108981506387824206870207220703099799331<66> (Makoto Kamada / GGNFS-0.77.1-20060722-pentium4 snfs / 1.39 hours on Pentium 4 3.06GHz, Windows XP and Cygwin / Jan 3, 2008)
7·10110+9 =
7(0)1099<111>
= 401 · 31847 · 1145049561023<13> · 210598051874168955747255536849189109823183669<45> · 227303700174261265553544983598627974278125627581<48> (Makoto Kamada / GGNFS-0.77.1-20060722-pentium4 snfs / 1.22 hours on Pentium 4 3.06GHz, Windows XP and Cygwin / Jan 3, 2008)
7·10111+9 =
7(0)1109<112>
= 8192033 · 854488745345630321557542553844692764299167251889732377787052371493132412918746787274904776384567786775273<105>
7·10112+9 =
7(0)1119<113>
= 2081 · 5471 · 1890970043<10> · 26137512744487<14> · 12033699318825066693133<23> · 15172434208128482381235449<26> · 681327502420718963509996982034018247<36>
7·10113+9 =
7(0)1129<114>
= 47 · 918812327 · 96193579270450910483<20> · 52972221804582579460070691716612125905947<41> · 3181112991886897109528469647934159070520161<43> (Makoto Kamada / Msieve 1.32 for P41 x P43 / 38 minutes on Pentium 4 3.06GHz, Windows XP and Cygwin / Jan 3, 2008)
7·10114+9 =
7(0)1139<115>
= 265918555732093741<18> · 26323849348265579485823544929727015576308945639294381000089820785032927715276157170532516051468749<98>
7·10115+9 =
7(0)1149<116>
= 19 · 3848793703<10> · 22718594123<11> · 42134549317349897382661678156789375957626069434286139808865537518561548586622530239389366306719<95>
7·10116+9 =
7(0)1159<117>
= 683 · 597137 · 36633169203506429<17> · 40722886099870003<17> · 1150509775039024620821675894957570948124222731345574845542966465101696516317<76>
7·10117+9 =
7(0)1169<118>
= 17 · 269 · 449 · 691 · 797389 · 97401611 · 63523741519969156716166795276148230096370614792801038748363658566448104482809372090562263749153<95>
7·10118+9 =
7(0)1179<119>
= 23 · 79 · 149 · 2713 · 79319 · 747651240743549<15> · 67591756259427614816000513<26> · 235466010043096976935626907487<30> · 100973824529377105037750972102831761<36> (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=3819840460 for P30 / Dec 28, 2007)
7·10119+9 =
7(0)1189<120>
= 31991 · 12429111900259089222404905377487364334851383<44> · 1760476070227298881000250830892187832585839053412152708131162759974648953<73> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 2.00 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Jan 5, 2008)
7·10120+9 =
7(0)1199<121>
= 3613 · 830640561618524856111311045749<30> · 5267270292924611350420925089608485692597297<43> · 442824191940348923348965981442994565437113881<45> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 2.11 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Jan 4, 2008)
7·10121+9 =
7(0)1209<122>
= 67 · 1063 · 62507028574734784595273767<26> · 15723930611805160752293811016664911057972345180103273670981993934786275952563229397366124787<92>
7·10122+9 =
7(0)1219<123>
= 87179 · 123439 · 554527 · 164369179661<12> · 273825479892090078485953471<27> · 2606254487973654963171477979173205792689002582949465678312185811021097<70>
7·10123+9 =
7(0)1229<124>
= 859 · 20663801 · 10860068597895821<17> · 36312997263151221901506074558449674061127712919587681483014218304201727637133304165767330397975631<98>
7·10124+9 =
7(0)1239<125>
= 71 · 6867389 · 143564823975712818783563802286388365339309441998620551236051192993025893624425425117850159256151597349710491995646811<117>
7·10125+9 =
7(0)1249<126>
= 46843261 · 30873920868103<14> · 802439867811739<15> · 603179585769476283982063925179760724065756281261547407313423206662142270781691683133224257<90>
7·10126+9 =
7(0)1259<127>
= 836913659 · 6676794511<10> · 8671293773<10> · 144465942054496596212657878227307793932065643543016424926404678047828730999686852633105748942584217<99>
7·10127+9 =
7(0)1269<128>
= 44879 · 75697857002716999529892478650803<32> · 1098672696747497143987400806595400953<37> · 18754390384244538050938832102972339330160248332842058469<56> (Robert Backstrom / GMP-ECM 6.0 B1=626000, sigma=1697096860 for P32, B1=2756000, sigma=3947222449 for P37 / Jan 4, 2008)
7·10128+9 =
7(0)1279<129>
= definitely prime number
7·10129+9 =
7(0)1289<130>
= 43 · 107 · 191 · 7229 · 699241 · 2574380605603<13> · 255221918974453<15> · 308342584759392862036453747<27> · 7778271465326660913214674200274889474203347580057631509049967<61>
7·10130+9 =
7(0)1299<131>
= 109 · 2153 · 16075963 · 18554553774144733187485658851058097717848981212266801773770776268929708770376618105889569332314186005642270456365376959<119>
7·10131+9 =
7(0)1309<132>
= 79 · 46171 · 83437 · 46351461007<11> · 44519105586677<14> · 1114636162879757586755221514757452602325633713603668167515291529644081338501631064948805993601307<97>
7·10132+9 =
7(0)1319<133>
= 29 · 277 · 281 · 23143 · 62017307414858777<17> · 128517687838903751356475185571<30> · 16811965400595332065282963065436715677021291606151005539614353407277695244693<77> (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=2369677643 for P30 / Dec 28, 2007)
7·10133+9 =
7(0)1329<134>
= 17 · 19 · 392269 · 15449237851049<14> · 2736740504065453<16> · 126571874058624293363<21> · 46786065581227008609821<23> · 2206566977135876099659928408739433995708313390025106997<55>
7·10134+9 =
7(0)1339<135>
= 1373 · 5167 · 3601349599733<13> · 1439181583139272216526486427199<31> · 19037423273913052788182876625430173418517933868978126334120252095713816138227879752697<86> (Robert Backstrom / GMP-ECM 6.0 B1=976000, sigma=1922583022 for P31 / Jan 4, 2008)
7·10135+9 =
7(0)1349<136>
= 4561 · 1534751151063363297522473141854856391142293356720017540013155009866257399693049769787327340495505371629028721771541328655996491997369<133>
7·10136+9 =
7(0)1359<137>
= 481303 · 845173643211181<15> · 13772576661929880407<20> · 11995838575241364936886371631<29> · 2659661121428801865051098355091<31> · 391616886211150417683056473821096660929<39> (Makoto Kamada / Msieve 1.32 for P31 x P39 / 1.7 minutes on Pentium 4 3.06GHz, Windows XP and Cygwin / Jan 3, 2008)
7·10137+9 =
7(0)1369<138>
= 260202808401992767<18> · 1529173935702381764254152743534663932887976167416684647<55> · 1759256536718344842192906040610542540050982219751847395727987528241<67> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs / 4.64 hours on Cygwin on AMD 64 X2 6000+ / Jan 5, 2008)
7·10138+9 =
7(0)1379<139>
= 676171493 · 151987251808412359267847<24> · 68113629159543835717741991362501454154601263201021584703769368524863650434279355420348719954394931779606979<107>
7·10139+9 =
7(0)1389<140>
= 509 · 19489 · 24029 · 197610691 · 1501691507248612030381521479<28> · 989609471436117422777116454131427754420931074987748124173413583538157133251025063502211219389<93>
7·10140+9 =
7(0)1399<141>
= 23 · 2466103546576433<16> · 12341242788019474576387723863144700549249890309610732000511335650088588794325175568963992363820087487644897494721309089959951<125>
7·10141+9 =
7(0)1409<142>
= 17627 · 98299 · 101414229444075792057935393801590219007<39> · 39835625472292178795478811905988720116944029945084978719281689145836957513895091630614531075119<95> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 6.92 hours on Core 2 Quad Q6600 / Jan 5, 2008)
7·10142+9 =
7(0)1419<143>
= 113 · 337 · 614934441575413662824970403<27> · 19435116457349819947354128996919945157<38> · 153806160331310217740660239181144108766898224889935222716697800849639765959<75> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 7.54 hours on Core 2 Quad Q6600 / Jan 5, 2008)
7·10143+9 =
7(0)1429<144>
= 148855001 · 576069287 · 431432946998059166527<21> · 76550132736403441672891<23> · 1886024310292141058362137589430541297859<40> · 131054925076915984865071132119449367149123689<45> (Makoto Kamada / Msieve 1.32 for P40 x P45 / 37 minutes on Pentium 4 3.06GHz, Windows XP and Cygwin / Jan 3, 2008)
7·10144+9 =
7(0)1439<145>
= 79 · 86171 · 55752769 · 4065672800573689<16> · 602777249516653608831361267<27> · 7525824686499701579284824444322150479179705286009515139208934081592108074236976147712383<88>
7·10145+9 =
7(0)1449<146>
= 313 · 1738784731<10> · 618843692040698995798198826407<30> · 2671818585703516715456275921793<31> · 77789315436009950011616945270888354577852828523595846614428994001941208453<74> (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=149974761 for P30 / Dec 29, 2007) (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=2856103157 for P31 / Dec 29, 2007)
7·10146+9 =
7(0)1459<147>
= 1904249 · 29348460735839486849597048687491482266220440029873<50> · 12525324190779213411439080213347337398023495842703998477149462377348409081784748884226366817<92> (Robert Backstrom / GGNFS-0.77.1-20060513-athlon-xp snfs / 11.17 hours on Cygwin on AMD 64 3200+ / Jan 6, 2008)
7·10147+9 =
7(0)1469<148>
= 7491534878133961<16> · 934387961061405934009488969728074307194897029181776759936454240113617562675937885113103078177027690071755038502044283386065768744769<132>
7·10148+9 =
7(0)1479<149>
= 854417 · 1403083059087052553974969<25> · 47025413165450464962041376031<29> · 9370251329536055623552717563916135025857<40> · 132513742186678071112443165485840454095701370690399<51> (Sinkiti Sibata / Msieve v. 1.30 / 4.1 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Jan 4, 2008)
7·10149+9 =
7(0)1489<150>
= 17 · 131 · 449 · 619 · 859 · 907 · 3347 · 43481 · 3089727089<10> · 1140505032437<13> · 3687919471679<13> · 239837507703455294015342234963512005413275037<45> · 3200142279977988684517610934831971048558705274893<49> (Sinkiti Sibata / Msieve v. 1.30 for P45 x P49 / 7.53 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Jan 5, 2008)
7·10150+9 =
7(0)1499<151>
= 43 · 111217 · 125728016429089<15> · 33786359773616532101819<23> · 11559667911157981594606538536727<32> · 29808463073978020665483666536761504804931521794584562189885964378638993423127<77> (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=1162147315 for P32 / Dec 29, 2007)
7·10151+9 =
7(0)1509<152>
= 192 · 61 · 3203 · 152754016254043<15> · 6496978457849333260398133650827107243910226652877719980865332182467375344002527605029583480779945275975131867477041453727298675301<130>
7·10152+9 =
7(0)1519<153>
= 1926832847437<13> · 6720374834881<13> · 63639889190749<14> · 77865850690669784859431617592698851037196011<44> · 10908977710449886619312815188508141739609220654946251183378377187561523<71> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 17.38 hours on Core 2 Quad Q6600 / Jan 6, 2008)
7·10153+9 =
7(0)1529<154>
= 229 · 383 · 8814412231<10> · 659762031526680767195090417<27> · 104956686158012241596645982785813<33> · 130759423488435528873829580092903272449089541268530772072226531544627524905762137<81> (Robert Backstrom / GMP-ECM 6.0.1 B1=1260000, sigma=161872807 for P33 / Jan 5, 2008)
7·10154+9 =
7(0)1539<155>
= 67 · 1044776119402985074626865671641791044776119402985074626865671641791044776119402985074626865671641791044776119402985074626865671641791044776119402985074627<154>
7·10155+9 =
7(0)1549<156>
= 5569 · 99733 · 3748141 · 3151948403<10> · 14119511683<11> · 7555570155167426623306199240601715709655205791193679947336950353243688915057676838443965445826163274301754382290735301313<121>
7·10156+9 =
7(0)1559<157>
= definitely prime number
7·10157+9 =
7(0)1569<158>
= 79 · 96857225721671<14> · 643687030404506197051806584898109829074806677658713563<54> · 14212293404416947433671925044120391584277610010545822637985641678790000790685720922856627<89> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs, Msieve 1.32 / Jan 6, 2008)
7·10158+9 =
7(0)1579<159>
= 47513 · 14951059 · 26611373797<11> · 1196154600657451<16> · 580205641660540932281813<24> · 53355239548808620638485322682507706693015897069674534295059139204137161596644379095706526655768057<98>
7·10159+9 =
7(0)1589<160>
= 47 · 71 · 92371871 · 102843119 · 4231538071496958890327182029936342614194854003919814193922731887<64> · 52182946885757635675346604057724856979445602984378050368353799424430749322239<77> (Robert Backstrom / GGNFS-0.77.1-20050930-k8 snfs, Msieve 1.32 / Jan 7, 2008)
7·10160+9 =
7(0)1599<161>
= 29 · 151 · 281 · 389 · 2107292713698510309679<22> · 4005955274492353897497031<25> · 818071830041244038278171651<27> · 156525586549686160778371318880236339<36> · 135288048995867650067993024697181507446419879<45> (Makoto Kamada / Msieve 1.32 for P36 x P45 / 15 minutes on Pentium 4 3.06GHz, Windows XP and Cygwin / Jan 3, 2008)
7·10161+9 =
7(0)1609<162>
= 15371116800042997500203<23> · 57118997757210264206905876447<29> · 139490464604623382674750512013106688318266001541875221<54> · 5715674892138940064628738708170977544099888345108701283569<58> (Sinkiti Sibata / GGNFS-0.77.1-20060513-pentium4 snfs / 89.61 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Jan 9, 2008)
7·10162+9 =
7(0)1619<163>
= 23 · 39293 · 296777596371098420029084738265707<33> · 26099002118993499083959038032360499646655560409399625783207929493736469419962227821932572864657403345682890557765228381684833<125> (Robert Backstrom / GMP-ECM 6.0 B1=322000, sigma=4004011612 for P33 / Jan 5, 2008)
7·10163+9 =
7(0)1629<164>
= 10463 · 17394388742849265431<20> · 21685605887741051661689<23> · 18751242705828780547597219322844983<35> · 945869076252608429463531219474556440073685963101828788499278956282259958157147275519<84> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona gnfs / 38.06 hours on Core 2 Quad Q6600 / Jan 7, 2008)
7·10164+9 =
7(0)1639<165>
= 4967 · 340656502544310619<18> · 12939677343964955884740014469294611585657994552577<50> · 31971554264779842589165734337945281912004539206121203124090877304667512724759902380130148456029<95> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs, Msieve 1.33 / Jan 17, 2008)
7·10165+9 =
7(0)1649<166>
= 17 · 59 · 163 · 31741 · 1348928397570076690061564165158585112695998474765890051287103646423648989950579597427269725936824215356885786696416406313963143501876729103752939274751333341<157>
7·10166+9 =
7(0)1659<167>
= 21991 · 972833 · 1082531 · 21801158658206841112555253752829902500472040092585365034962893355053<68> · 138642011235137555584320880412798358499970719485097366270743949931671229392787022521<84> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs, Msieve 1.32 / Jan 8, 2008)
7·10167+9 =
7(0)1669<168>
= 178069 · 501731 · 865342599239164691599085917<27> · [9054212878954652228888100592451098523536681789916597423465588315561167609163922756593556020840808722859548049818240407383034120643<130>] SUBMIT/RESERVE
7·10168+9 =
7(0)1679<169>
= 617 · 354105555240029147<18> · 32039087308184090531813174707032004415451327683935362690157535423432806424109640178725080909689686586732654368778527017342521460251616278224749936691<149>
7·10169+9 =
7(0)1689<170>
= 19 · 197 · 1218731 · 76893204345311<14> · 5094367215912347<16> · [39173479488280698301566650872036774199426866136397189452808421112916404369440174985140115774837583709302975448240597911414597984769<131>] SUBMIT/RESERVE
7·10170+9 =
7(0)1699<171>
= 79 · 179 · 12098804288573<14> · 10605719526241907<17> · 6305477331586176696191<22> · 61181111066611056958672253771983320473384404676056354643267118949561430337698029764099505675945782693653764989402949<116>
7·10171+9 =
7(0)1709<172>
= 43 · 26241733044707218954226737<26> · 892956312875936356694927582581<30> · 6947152932113987643168726079313288806195709735263116059377754498727500706839406301199909770493327424580956167098879<115> (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=3052894968 for P30 / Dec 31, 2007)
7·10172+9 =
7(0)1719<173>
= 431 · 743 · 327553 · 667344944316443213443062560632124828734985207240947811846317701084320872259237691024104607508124407337884614801068064941445989735074968100876626064437784152903841<162>
7·10173+9 =
7(0)1729<174>
= 727 · 46703390984381129306990060832824441396119105760387<50> · 803575513133626214041688443279256687479553115056384050651<57> · 25655974804389045502754045805223424190216260512796697773191686191<65> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs, Msieve 1.36 / 143.54 hours on Cygwin on AMD 64 X2 6000+ / Jul 1, 2008)
7·10174+9 =
7(0)1739<175>
= 2417 · 62141 · 24597884160931<14> · 238162287627716653181<21> · [7955590246088851391043819919104341971364959624752412002636294080619743127047841835520737627867899331614503802191122075200152974690427<133>] SUBMIT/RESERVE
7·10175+9 =
7(0)1749<176>
= 599 · 859 · 1065471780120055445682973<25> · 127683889078669709401901622404709319129188098244756014687415669097114501244582299996393116498380376480996964348653214582227671328278397114348379313<147>
7·10176+9 =
7(0)1759<177>
= 47903 · 1614281 · 156109928311<12> · 7084333593269<13> · 8185150411515423181467395851425156883178652315181688251186165230818672740668650357802907179857227493795153329552398571363487809278874496899157<142>
7·10177+9 =
7(0)1769<178>
= 9817 · 161281 · 3612668986837843<16> · 360806277573921837093521<24> · 3391827722433078860833664230640567403705289955625369519161422663146641412864457239530044665614899164261948678794569855146449834939<130>
7·10178+9 =
7(0)1779<179>
= 2521 · 956113 · 1743745060873<13> · 425228655272117<15> · 1456142266504809349962840467<28> · 13724946734647014417463514389532708012499306431<47> · 1959728831003640657417517089713455927810208846008120710768293127210569<70> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 gnfs for P47 x P70 / 46.23 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Jan 6, 2008)
7·10179+9 =
7(0)1789<180>
= 63353 · 1008001 · 978044581 · 14592795907<11> · 227237230215172850503<21> · 3379817460050069942799231285190680234283226509373517109363185455110526961447324134288801765351497728695578075994840579088005394953<130>
7·10180+9 =
7(0)1799<181>
= 457 · 10529 · [1454771265274838504802719507838411489534063780913110045341063849287359513258473575015176381663813583116174084579985714146175001085882837294433026799172775493671433259354750753<175>] SUBMIT/RESERVE
7·10181+9 =
7(0)1809<182>
= 17 · 449 · 10303823 · 890029472009866311755181459551478291801154166872557873139990952961543556642744316648182030030019845129923560713021757866870587750945164861986775908309186883451017847512951<171>
7·10182+9 =
7(0)1819<183>
= 107 · 379 · 17261361674845264222129065667151628732769462185288388035410450521539713461396197568613912657509925282963036026927724212758612186521342440756540823120361009049885335240302813601953<179>
7·10183+9 =
7(0)1829<184>
= 79 · 69172788077<11> · 133818982259225767835521221337<30> · [9572336242243985044301236538042107107618534026530064456879616370843986823511954236728268510314492217680175701229960850902545463856024173108379<142>] (Serge Batalov / GMP-ECM 6.2.1 B1=2000000, sigma=1992546363 for P30 / Jul 13, 2008) SUBMIT/RESERVE
7·10184+9 =
7(0)1839<185>
= 23 · 549739 · 5682687979593600917<19> · 7976489749171399842255223<25> · 2811978150847997307845419151<28> · 2531387735627039925793230455227259<34> · 17158424976522700557620195582007809385643845583276601461057699635251373763<74> (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=4266431120 for P34 / Jan 1, 2008)
7·10185+9 =
7(0)1849<186>
= 349 · 947 · 1553 · 869777 · 5734136217899<13> · 5904578958612263<16> · [46311230336433526367480938361232001196087734687381240915762130609396672331449325702347703143080352239448334328381714872342918701248586124012299<143>] SUBMIT/RESERVE
7·10186+9 =
7(0)1859<187>
= 1741994345836830894659<22> · [4018382732831026028734171990955267430287395278693625779502768993304712225782232884974215486767459406455038617824999261858746781983801626605141512076515938127060403651<166>] SUBMIT/RESERVE
7·10187+9 =
7(0)1869<188>
= 19 · 67 · 4955013379635043<16> · 68970718303915998934002290925451<32> · 160901486293538691375676951174860596918880834707333671424148474663474471897205211287469746278752120732468094799900744324922272656224406481<138> (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=247337051 for P32 / Jan 1, 2008)
7·10188+9 =
7(0)1879<189>
= 29 · 281 · [85900110442999140998895570008590011044299914099889557000859001104429991409988955700085900110442999140998895570008590011044299914099889557000859001104429991409988955700085900110442999141<185>] SUBMIT/RESERVE
7·10189+9 =
7(0)1889<190>
= 113462389 · 405615163 · 3254693699<10> · 35159652802791549778007<23> · 1329159910247839703971285091975193743459794765885873739612614452446549639707890329644707826631497113936735611510540299580771412321843350377459<142>
7·10190+9 =
7(0)1899<191>
= 56893 · 4978723 · [247127593929643442784925204240216658917398032080539142529224922476957177159295498804261399975905643519060278085976030109847180496059190981211806763031631969956356494355862401948831<180>] SUBMIT/RESERVE
7·10191+9 =
7(0)1909<192>
= 97 · 234464897294589778294207283924185372179122521034823214261<57> · 37245591958990518315896750106678790768293832822047005717210831897<65> · 826368192949751598558367932833322291039122696920944478534061838111341<69> (Robert Backstrom / GGNFS-0.77.1-20060513-athlon-xp snfs, Msieve 1.36 / 167.63 hours on Cygwin on AMD 64 3200+ / Aug 14, 2008)
7·10192+9 =
7(0)1919<193>
= 43 · 7193 · 6405617586808848307<19> · 2188775240319923103953459833<28> · 1614200022352963498443368243866657344806878021480211611819195602908675234157919268749826297429953209877294640914474167976011072126569565438761<142>
7·10193+9 =
7(0)1929<194>
= 2744781851639<13> · 2543717477743427269722428833<28> · 2665128364816742128138476637<28> · [3761864954913963305216285313826516722992973293912532948415624819300798599573925261366288009876980589923493602165953677693332011<127>] SUBMIT/RESERVE
7·10194+9 =
7(0)1939<195>
= 71 · 2437 · 12149 · 9381289 · 294188784163<12> · [120657689208079695622601388842002862399832841703491716947294597618335218504374341858689696854434888913194201731060405314132155040434352964813449202640436304370462901269<168>] SUBMIT/RESERVE
7·10195+9 =
7(0)1949<196>
= 661 · 13620225779<11> · 117984862337<12> · 1997874098431<13> · 3630360012707<13> · 36718268622560124359<20> · 390156172288543581749<21> · 256480842670036268358911<24> · 247282033620957517888874069599300623022732694201793777356282888135241001720688437759<84>
7·10196+9 =
7(0)1959<197>
= 79 · 4081613 · 4666663 · 41830650439474256147<20> · 67999711209012687474433673<26> · 16354263791844238652894177002153278529123955576949979134968962961449504704991928422874737100122112449141916280562486482480717684755901839<137>
7·10197+9 =
7(0)1969<198>
= 17 · 5209 · 259657 · 79392305215248577<17> · [383456685421648306006088817801817840632226742951668863490830668891742478382626515034371124939029073961923274994781482434725108581258090120035446733306078552751749034309977<171>] SUBMIT/RESERVE
7·10198+9 =
7(0)1979<199>
= 443 · 37447 · 51772459 · [8150391873150141502214930261030009511488735203489654742878414445786291154941703302503903152877063943022304471550603158999133877222600339100229692618348739301542546165241817960419983831<184>] SUBMIT/RESERVE
7·10199+9 =
7(0)1989<200>
= 64997 · 143322857 · 7514312831199227102709863661207283284869401533983911611252572287628535583119327732917319147966125172623038053061648996958623594488764752527730453070803637090989032936849974408235493915021<187>
7·10200+9 =
7(0)1999<201>
= 14470510511<11> · [48374243567141831019813700337804205061331716273959451602377541025511646511667427930179677680896160885971661487292499019974624307848650717171646578129492227698227059461343975799970309699877319<191>] SUBMIT/RESERVE

Factorizations
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