Factorizations of 877...779
Table of contents
1. About 877...779
First ten terms
89, 879, 8779, 87779, 877779, 8777779, 87777779, 877777779, 8777777779, 87777777779
General term
(79·10n+11)/9
2. Prime numbers of the form 877...779
Last update
Sep 19, 2010
Searched up to
n≤30000
Difficulty of search
21.13%
Results
- (79·101+11)/9 = 89 is prime.
- (79·103+11)/9 = 8779 is prime.
- (79·106+11)/9 = 8777779 is prime.
- (79·1031+11)/9 = 8(7)309<32> is prime.
- (79·1036+11)/9 = 8(7)359<37> is prime.
- (79·1061+11)/9 = 8(7)609<62> is prime.
- (79·10117+11)/9 = 8(7)1169<118> is prime. (searched by Makoto Kamada / Dec 7, 2004) (certified by Makoto Kamada / PPSIQS / Jan 8, 2005)
- (79·10229+11)/9 = 8(7)2289<230> is prime. (searched by Makoto Kamada / Dec 7, 2004) (certified by Makoto Kamada / PPSIQS / Jan 8, 2005)
- (79·10339+11)/9 = 8(7)3389<340> is prime. (searched by Makoto Kamada / Dec 7, 2004) (certified by Makoto Kamada / PPSIQS / Jan 8, 2005)
- (79·103165+11)/9 = 8(7)31649<3166> is PRP. (Makoto Kamada / PFGW / Dec 18, 2004)
- (79·103958+11)/9 = 8(7)39579<3959> is PRP. (Makoto Kamada / PFGW / Dec 18, 2004)
- (79·105277+11)/9 = 8(7)52769<5278> is PRP. (Makoto Kamada / PFGW / Dec 22, 2004)
- (79·105343+11)/9 = 8(7)53429<5344> is PRP. (Makoto Kamada / PFGW / Dec 22, 2004)
- (79·106079+11)/9 = 8(7)60789<6080> is PRP. (Makoto Kamada / PFGW / Dec 25, 2004)
- (79·106535+11)/9 = 8(7)65349<6536> is PRP. (Makoto Kamada / PFGW / Dec 25, 2004)
- (79·108485+11)/9 = 8(7)84849<8486> is PRP. (Makoto Kamada / PFGW / Jan 2, 2005)
- (79·1015084+11)/9 = 8(7)150839<15085> is PRP. (Ray Chandler / srsieve, PFGW / Sep 9, 2010)
3. Factorizations of 877...779
Last update
Jan 5, 2012
Completed up to
Range
n≤200
Terms which have not been factored yet
n=178, 180, 181, 182, 183, 188, 192, 198 (8/200)
Results
- (79·101+11)/9 =
- 89
- = definitely prime number
- (79·102+11)/9 =
- 879
- = 3 · 293
- (79·103+11)/9 =
- 8779
- = definitely prime number
- (79·104+11)/9 =
- 87779
- = 61 · 1439
- (79·105+11)/9 =
- 877779
- = 32 · 7 · 13933
- (79·106+11)/9 =
- 8777779
- = definitely prime number
- (79·107+11)/9 =
- 87777779
- = 631 · 139109
- (79·108+11)/9 =
- 877777779
- = 3 · 17 · 1871 · 9199
- (79·109+11)/9 =
- 8777777779<10>
- = 6043 · 1452553
- (79·1010+11)/9 =
- 87777777779<11>
- = 192 · 243151739
- (79·1011+11)/9 =
- 877777777779<12>
- = 3 · 7 · 41798941799<11>
- (79·1012+11)/9 =
- 8777777777779<13>
- = 715049 · 12275771
- (79·1013+11)/9 =
- 87777777777779<14>
- = 23 · 709 · 5382828097<10>
- (79·1014+11)/9 =
- 877777777777779<15>
- = 32 · 97530864197531<14>
- (79·1015+11)/9 =
- 8777777777777779<16>
- = 105389 · 83289316511<11>
- (79·1016+11)/9 =
- 87777777777777779<17>
- = 1789649 · 49047482371<11>
- (79·1017+11)/9 =
- 877777777777777779<18>
- = 3 · 7 · 378089 · 110553181391<12>
- (79·1018+11)/9 =
- 8777777777777777779<19>
- = 29 · 17783 · 17020862190697<14>
- (79·1019+11)/9 =
- 87777777777777777779<20>
- = 2621 · 26624473 · 1257872263<10>
- (79·1020+11)/9 =
- 877777777777777777779<21>
- = 3 · 199 · 27827 · 52837694887741<14>
- (79·1021+11)/9 =
- 8777777777777777777779<22>
- = 541 · 20011 · 277547 · 2921339207<10>
- (79·1022+11)/9 =
- 87777777777777777777779<23>
- = 71 · 197 · 33343 · 188215477805519<15>
- (79·1023+11)/9 =
- 877777777777777777777779<24>
- = 33 · 72 · 113 · 2203 · 40039 · 66565404413<11>
- (79·1024+11)/9 =
- 8777777777777777777777779<25>
- = 172 · 53899 · 563515714338305689<18>
- (79·1025+11)/9 =
- 87777777777777777777777779<26>
- = 179 · 953 · 1423 · 8779 · 41189706855701<14>
- (79·1026+11)/9 =
- 877777777777777777777777779<27>
- = 3 · 292592592592592592592592593<27>
- (79·1027+11)/9 =
- 8777777777777777777777777779<28>
- = 1667 · 123517 · 47280463 · 901655271947<12>
- (79·1028+11)/9 =
- 87777777777777777777777777779<29>
- = 19 · 14629 · 781007 · 458042173 · 882787039
- (79·1029+11)/9 =
- 877777777777777777777777777779<30>
- = 3 · 7 · 2333 · 7402706107<10> · 2420248950195529<16>
- (79·1030+11)/9 =
- 8777777777777777777777777777779<31>
- = 274867 · 10325501 · 3092792947358719637<19>
- (79·1031+11)/9 =
- 87777777777777777777777777777779<32>
- = definitely prime number
- (79·1032+11)/9 =
- 877777777777777777777777777777779<33>
- = 32 · 97530864197530864197530864197531<32>
- (79·1033+11)/9 =
- 8777777777777777777777777777777779<34>
- = 83 · 1483 · 18839919288383<14> · 3785177941529917<16>
- (79·1034+11)/9 =
- 87777777777777777777777777777777779<35>
- = 233 · 123001 · 3062809733176661698440351763<28>
- (79·1035+11)/9 =
- 877777777777777777777777777777777779<36>
- = 3 · 7 · 23 · 17467 · 191994301 · 541914526971243090239<21>
- (79·1036+11)/9 =
- 8777777777777777777777777777777777779<37>
- = definitely prime number
- (79·1037+11)/9 =
- 87777777777777777777777777777777777779<38>
- = 141030739 · 622401743053886839363280779361<30>
- (79·1038+11)/9 =
- 877777777777777777777777777777777777779<39>
- = 3 · 47 · 1231 · 601110557 · 8413042075700939641004357<25>
- (79·1039+11)/9 =
- 8777777777777777777777777777777777777779<40>
- = 1229358829<10> · 7140126682880623601701710947551<31>
- (79·1040+11)/9 =
- 87777777777777777777777777777777777777779<41>
- = 17 · 46061 · 18095053001<11> · 84528081217<11> · 73289444157751<14>
- (79·1041+11)/9 =
- 877777777777777777777777777777777777777779<42>
- = 32 · 7 · 1283 · 1319 · 22369 · 9663893 · 38086748508349146478837<23>
- (79·1042+11)/9 =
- 8777777777777777777777777777777777777777779<43>
- = 2070091 · 7528141 · 175924453 · 3201704088434559760153<22>
- (79·1043+11)/9 =
- 87777777777777777777777777777777777777777779<44>
- = 27647386417473497<17> · 3174903278463280524276228907<28>
- (79·1044+11)/9 =
- 877777777777777777777777777777777777777777779<45>
- = 3 · 2477 · 118123775774159302621151632051914651833909<42>
- (79·1045+11)/9 =
- 8777777777777777777777777777777777777777777779<46>
- = 89 · 17959 · 1922339 · 2856817173072869125261564038874111<34>
- (79·1046+11)/9 =
- 87777777777777777777777777777777777777777777779<47>
- = 19 · 29 · 773 · 132761982369993799<18> · 1552314665541119377402727<25>
- (79·1047+11)/9 =
- 877777777777777777777777777777777777777777777779<48>
- = 3 · 7 · 8779 · 281080517 · 14538608989<11> · 1165109217010051230405637<25>
- (79·1048+11)/9 =
- 8777777777777777777777777777777777777777777777779<49>
- = 59 · 523 · 52379 · 4046947 · 1341980365672345335522091552457419<34>
- (79·1049+11)/9 =
- 87777777777777777777777777777777777777777777777779<50>
- = 21767 · 119359 · 427913 · 4959049 · 8004743 · 1988976078455662844173<22>
- (79·1050+11)/9 =
- 877777777777777777777777777777777777777777777777779<51>
- = 33 · 7390459 · 680722338853<12> · 6462185237921684104242436235951<31>
- (79·1051+11)/9 =
- 8(7)509<52>
- = 653 · 102367 · 3079831 · 97780852823971<14> · 436044404536922597410829<24>
- (79·1052+11)/9 =
- 8(7)519<53>
- = 5073287 · 21888753729562304909<20> · 790449475117685677761351113<27>
- (79·1053+11)/9 =
- 8(7)529<54>
- = 3 · 7 · 510159781337<12> · 589404017297<12> · 341089857665989<15> · 407546503820419<15>
- (79·1054+11)/9 =
- 8(7)539<55>
- = 787 · 8775360261890310833561<22> · 1270998080147011699836897437897<31>
- (79·1055+11)/9 =
- 8(7)549<56>
- = 9473 · 491873 · 18838402020834435113073548846413723037826509651<47>
- (79·1056+11)/9 =
- 8(7)559<57>
- = 3 · 17 · 533303 · 13751273 · 3564492897473<13> · 95483097358981<14> · 6895618445172707<16>
- (79·1057+11)/9 =
- 8(7)569<58>
- = 23 · 71 · 5573285188609<13> · 692458375199989<15> · 1392815072780188571121831463<28>
- (79·1058+11)/9 =
- 8(7)579<59>
- = 283 · 4915217 · 135617371 · 465307581841389573609150010722052173862459<42>
- (79·1059+11)/9 =
- 8(7)589<60>
- = 32 · 7 · 95441 · 270167 · 58424654072647<14> · 9248698059818449347885048531060637<34>
- (79·1060+11)/9 =
- 8(7)599<61>
- = 344952808003511<15> · 25446314899075805656775875916675644737567492389<47>
- (79·1061+11)/9 =
- 8(7)609<62>
- = definitely prime number
- (79·1062+11)/9 =
- 8(7)619<63>
- = 3 · 13755229 · 1302415276829<13> · 16332250049973870731664753725324881330379273<44>
- (79·1063+11)/9 =
- 8(7)629<64>
- = 39099922091<11> · 86049485918451808138429<23> · 2608917883293587802659083603661<31>
- (79·1064+11)/9 =
- 8(7)639<65>
- = 19 · 61 · 349 · 4283 · 7456606596218666768759<22> · 6794952322693787532620443958650877<34>
- (79·1065+11)/9 =
- 8(7)649<66>
- = 3 · 72 · 1109 · 442139 · 98046229 · 251403848388116119<18> · 494053590866795218588383470957<30>
- (79·1066+11)/9 =
- 8(7)659<67>
- = 389 · 39708352832900051<17> · 568267878771843520670955701288527895636173388461<48>
- (79·1067+11)/9 =
- 8(7)669<68>
- = 24763 · 3544715009400225246447432773806799571044614052327172708386616233<64>
- (79·1068+11)/9 =
- 8(7)679<69>
- = 32 · 347 · 220090861 · 9296376639439<13> · 137371574990215029770176019226677967247424587<45>
- (79·1069+11)/9 =
- 8(7)689<70>
- = 8779 · 58699 · 82563540799<11> · 1622277827060999<16> · 44680741109072023<17> · 2846262297507891413<19>
- (79·1070+11)/9 =
- 8(7)699<71>
- = 181 · 1811 · 2243 · 424519 · 281229678614960026967930114835563652205144293481981950857<57>
- (79·1071+11)/9 =
- 8(7)709<72>
- = 3 · 7 · 151 · 34729 · 15043966021535303<17> · 529826550488074152849173569366180122384947484527<48>
- (79·1072+11)/9 =
- 8(7)719<73>
- = 17 · 191 · 883 · 4353397 · 703255789261256459908809464799670416261900966907899426432307<60>
- (79·1073+11)/9 =
- 8(7)729<74>
- = 5999569 · 14630680600186076329445961497863892852599541363350897002397635193091<68>
- (79·1074+11)/9 =
- 8(7)739<75>
- = 3 · 29 · 83 · 167 · 5209 · 1076167 · 52304731 · 2482537199266841129359099957633805358089372894141629<52>
- (79·1075+11)/9 =
- 8(7)749<76>
- = 2455129667<10> · 3575280725805256532618722079813382735592098475415383336564837240337<67>
- (79·1076+11)/9 =
- 8(7)759<77>
- = 311 · 17939 · 237991812484200792610439029<27> · 66109511256830586600043647937176339026531819<44>
- (79·1077+11)/9 =
- 8(7)769<78>
- = 34 · 7 · 2116949 · 38538528771450210847<20> · 10156632996944647070929<23> · 1868298376903310040854632351<28>
- (79·1078+11)/9 =
- 8(7)779<79>
- = 109 · 263 · 402101696897<12> · 9146759187437<13> · 22164284066347563653<20> · 3756172049292912932023318495561<31>
- (79·1079+11)/9 =
- 8(7)789<80>
- = 23 · 1231 · 2777 · 4241 · 69401 · 126143 · 44406042673585367124819661<26> · 677147976617719434038074157659753<33>
- (79·1080+11)/9 =
- 8(7)799<81>
- = 3 · 193 · 19447 · 253198283291<12> · 60798892084062731215367095307<29> · 5064038301432173821607315841188959<34>
- (79·1081+11)/9 =
- 8(7)809<82>
- = 17359 · 591754013 · 854512985680409637480425655716222978838625564849528681778747654638337<69>
- (79·1082+11)/9 =
- 8(7)819<83>
- = 19 · 40883 · 122167 · 924984200691824873154537856880029202398376938894011873430997606641830781<72>
- (79·1083+11)/9 =
- 8(7)829<84>
- = 3 · 7 · 85889 · 486662340916087030257645819592052520599831664112305405136850374308023133833191<78>
- (79·1084+11)/9 =
- 8(7)839<85>
- = 47 · 738953 · 474108156262907023619<21> · 533080112347875353971941164026520853741737578498152545351<57>
- (79·1085+11)/9 =
- 8(7)849<86>
- = 31181 · 765007648733<12> · 34141960436680582521941705612173<32> · 107780528914044560825158601896249108151<39> (Makoto Kamada / msieve 0.81 / 2.9 minutes)
- (79·1086+11)/9 =
- 8(7)859<87>
- = 32 · 97530864197530864197530864197530864197530864197530864197530864197530864197530864197531<86>
- (79·1087+11)/9 =
- 8(7)869<88>
- = 100371389 · 140335141 · 772494617 · 806701288283650612090856477578757085798966622558160963902695163<63>
- (79·1088+11)/9 =
- 8(7)879<89>
- = 17 · 97 · 2347 · 22680406629258924603639079856477238475030322124647667778092719626794196009299196393<83>
- (79·1089+11)/9 =
- 8(7)889<90>
- = 3 · 7 · 89 · 527917056922412733403<21> · 355851765351918750655751<24> · 2500002607181648548157114695927560175715947<43>
- (79·1090+11)/9 =
- 8(7)899<91>
- = 11941 · 341717347 · 3853304771677<13> · 1783228871989184181758963284187<31> · 313066364597366660798192744505023123<36> (Makoto Kamada / msieve 0.81 / 1 minutes)
- (79·1091+11)/9 =
- 8(7)909<92>
- = 4729 · 8779 · 564197 · 23153590169407<14> · 4202436226395264778650589<25> · 38514119439364417596532618889638473714799<41>
- (79·1092+11)/9 =
- 8(7)919<93>
- = 3 · 71 · 102079 · 7001237 · 5766254310057614564550061816244634974726567318365503948956473229403720783039221<79>
- (79·1093+11)/9 =
- 8(7)929<94>
- = 1009 · 58427 · 8189750895305955726161<22> · 18180638684490209070479426032333365390917448616721325015732900073<65>
- (79·1094+11)/9 =
- 8(7)939<95>
- = 475342373859107591<18> · 232606979061582513479584621<27> · 793880820953671439110466851664817795172748768646889<51>
- (79·1095+11)/9 =
- 8(7)949<96>
- = 32 · 7 · 10627 · 190031 · 204427 · 6260006503<10> · 5391329290268302204789656339120147871893303017074860827988581815275589<70>
- (79·1096+11)/9 =
- 8(7)959<97>
- = 14657 · 42403 · 79627 · 177370976258560154886941728925825043467998184885925559900881249501533823789927537587<84>
- (79·1097+11)/9 =
- 8(7)969<98>
- = 2551 · 477073 · 4317524909<10> · 27104562607550096352470888854829<32> · 616328186508999703170910589518625146618275196493<48> (Makoto Kamada / GGNFS-0.71.4 / 0.48 hours)
- (79·1098+11)/9 =
- 8(7)979<99>
- = 3 · 14002252708495003<17> · 53169243249266219638393030028941487<35> · 393011208673834481317623410673977383078160773613<48> (Makoto Kamada / GGNFS-0.71.4 / 0.54 hours)
- (79·1099+11)/9 =
- 8(7)989<100>
- = 5087 · 180413 · 23930974833127<14> · 774723074269023562518295664641<30> · 515879339104672684743495560279744943177377674087<48> (Makoto Kamada / GGNFS-0.71.4 / 0.56 hours)
- (79·10100+11)/9 =
- 8(7)999<101>
- = 19 · 43783 · 458372079119994648758653673151989<33> · 230201054853887524116131221952496258754295610124362800874721243<63> (Makoto Kamada / GGNFS-0.71.4 / 0.44 hours)
- (79·10101+11)/9 =
- 8(7)1009<102>
- = 3 · 7 · 23 · 3129670004893849<16> · 223710227887152940056244734887<30> · 2595691430427682043006548630878227303368293577384657151<55> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=518508723 for P30 / Feb 16, 2010)
- (79·10102+11)/9 =
- 8(7)1019<103>
- = 29 · 80341 · 860304058463051771866927697224817696341<39> · 4379226208439603601042635349081629523795423038071642108871<58> (Dmitry Domanov / GGNFS/msieve snfs / 0.35 hours / Feb 21, 2010)
- (79·10103+11)/9 =
- 8(7)1029<104>
- = 492783957811<12> · 1376547888629329244949948028351<31> · 129400720935664175507729324337017336023464553207867825976231039<63> (Dmitry Domanov / GGNFS/msieve snfs / 0.39 hours / Feb 21, 2010)
- (79·10104+11)/9 =
- 8(7)1039<105>
- = 33 · 17 · 25229 · 154057 · 11456275510990816239919790862331<32> · 42948398461083072792516179685839646718476117062517404846186767<62> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=2494572653 for P32 / Feb 16, 2010)
- (79·10105+11)/9 =
- 8(7)1049<106>
- = 223 · 7919 · 38995577 · 1357824749<10> · 708858117091<12> · 2121478881132439<16> · 454522920062332951<18> · 137339824166400007197445012644027242621<39>
- (79·10106+11)/9 =
- 8(7)1059<107>
- = 59 · 40289 · 9658813403180886966449<22> · 535649775083350585048516051764899498581<39> · 7137422065899894839592976960523064716341<40> (Makoto Kamada / Msieve 1.45 for P39 x P40 / Feb 21, 2010)
- (79·10107+11)/9 =
- 8(7)1069<108>
- = 3 · 72 · 229 · 139457 · 53635171 · 37006641627280322232760781970002172503<38> · 94202429251189193764194452239628953178251136310911113<53> (Dmitry Domanov / GGNFS/msieve snfs / 0.61 hours / Feb 21, 2010)
- (79·10108+11)/9 =
- 8(7)1079<109>
- = 1063 · 1037120477<10> · 21814971361<11> · 76006763533<11> · 86563744257787<14> · 103963592582909<15> · 27386479446811927843<20> · 19483263406887817298155480657<29>
- (79·10109+11)/9 =
- 8(7)1089<110>
- = 607 · 4049 · 25768117 · 1386007021072153131303997874247802322959472731853429783358495994117235494638520958723246835606409<97>
- (79·10110+11)/9 =
- 8(7)1099<111>
- = 3 · 919 · 782440459 · 1338254612739466909<19> · 17929435857546786729868171116505633<35> · 16958644751128961191434274186500903588326751689<47> (Makoto Kamada / Msieve 1.45 for P35 x P47 / Feb 21, 2010)
- (79·10111+11)/9 =
- 8(7)1109<112>
- = 633463 · 294224353 · 785322886821035179<18> · 13103726730258236057<20> · 4576586025819957060739133295379472837642300033802956983830887<61>
- (79·10112+11)/9 =
- 8(7)1119<113>
- = 4957 · 3845270048908614916812185567<28> · 4605097374221596594251615919853661452616340208463640780242682818765335857639154641<82>
- (79·10113+11)/9 =
- 8(7)1129<114>
- = 32 · 7 · 3923 · 8779 · 16447 · 392647 · 4886411 · 196868993882737485475459<24> · 65121498338014432653287339110968942347439184910238327119461208389<65>
- (79·10114+11)/9 =
- 8(7)1139<115>
- = 479 · 442304131 · 1272376656515428290645481051<28> · 42006465940480647972880746841081209131<38> · 775168711504241658086583394594474645591<39> (Makoto Kamada / Msieve 1.45 for P38 x P39 / Feb 21, 2010)
- (79·10115+11)/9 =
- 8(7)1149<116>
- = 83 · 71011 · 17577709 · 79776643943<11> · 401483128968443813<18> · 26453036301876180054029397485359611704110132911742865623049537564206273693<74>
- (79·10116+11)/9 =
- 8(7)1159<117>
- = 3 · 1242139973<10> · 15268184647<11> · 13928897352347<14> · 3782937469118015223341<22> · 161720794211306577732331309<27> · 1810479533581718048626888203706057721<37>
- (79·10117+11)/9 =
- 8(7)1169<118>
- = definitely prime number
- (79·10118+11)/9 =
- 8(7)1179<119>
- = 19 · 35047818002499024258734446361<29> · 55816857314122556522315772611871783949<38> · 2361590621298055243603807078147371134881095734362669<52> (Sinkiti Sibata / Msieve 1.42 gnfs for P38 x P52 / 2 hours / Feb 21, 2010)
- (79·10119+11)/9 =
- 8(7)1189<120>
- = 3 · 7 · 199 · 1149816813959045679482843<25> · 6690255130474345727161632975022202557<37> · 27304917950343658724794437409029197851225695611075866351<56> (Sinkiti Sibata / Msieve 1.40 snfs / 1.97 hours on Core i7 2.93GHz,Windows 7 64bit,and Cygwin / Feb 21, 2010)
- (79·10120+11)/9 =
- 8(7)1199<121>
- = 17 · 197 · 1231 · 57679 · 47829188977517<14> · 273347084476043197<18> · 2823489625291508980082034716888025482008020272384656218238886169573111255886271<79>
- (79·10121+11)/9 =
- 8(7)1209<122>
- = 1103104637<10> · 428205825218266785133332881076265117712135201<45> · 185829774811331075562478308344701398405728678659175154580862221909967<69> (Sinkiti Sibata / Msieve 1.40 snfs / 2.08 hours on Core i7 2.93GHz,Windows 7 64bit,and Cygwin / Feb 21, 2010)
- (79·10122+11)/9 =
- 8(7)1219<123>
- = 32 · 4021 · 16001 · 28051 · 178691 · 6329281171<10> · 510627468807683269832293098092287<33> · 93573157387874187224995777413210254327899802252860923642163523<62> (Sinkiti Sibata / Msieve 1.40 snfs / 2.52 hours on Core i7 2.93GHz,Windows 7 64bit,and Cygwin / Feb 21, 2010)
- (79·10123+11)/9 =
- 8(7)1229<124>
- = 23 · 853 · 4916221 · 91007318260899731908531534050150222089791312570938170527608533524024580851927184516204148802233454579549668758021<113>
- (79·10124+11)/9 =
- 8(7)1239<125>
- = 61 · 4964579 · 6998869 · 4825808378254829321227<22> · 8581720841968074918298724763768615509765546301236494136313431592906278243058430746331507<88>
- (79·10125+11)/9 =
- 8(7)1249<126>
- = 3 · 7 · 12018340684261433<17> · 196083286192313953<18> · 1179088941001499724214820168019132542737216403<46> · 15042971529979109744798327218293625878045660517<47> (Sinkiti Sibata / Msieve 1.40 snfs / 2.26 hours on Core i7 2.93GHz,Windows 7 64bit,and Cygwin / Feb 21, 2010)
- (79·10126+11)/9 =
- 8(7)1259<127>
- = 1291 · 2009923575524128473301<22> · 3382819265505242344470913749982166421977187367425349608526707712738953940208383141045366244327195578069<103>
- (79·10127+11)/9 =
- 8(7)1269<128>
- = 71 · 1723 · 12902219353370016305944129<26> · 55613027037759323809990149545931397462598378597879808769566275396962154221320983180832505863178447<98>
- (79·10128+11)/9 =
- 8(7)1279<129>
- = 3 · 131 · 2776239121<10> · 4071544852484580349<19> · 4660022763942325416332443148596131965110399319<46> · 42402152160222681585158346531788932199167366507945553<53> (Sinkiti Sibata / Msieve 1.40 snfs / 3.84 hours on Core i7 2.93GHz,Windows 7 64bit,and Cygwin / Feb 21, 2010)
- (79·10129+11)/9 =
- 8(7)1289<130>
- = 373 · 48593090738237<14> · 435135688388367015463<21> · 9858287587463970815639689803392892885221633<43> · 112895086215498147033231352381548951722880039894901<51> (Sinkiti Sibata / Msieve 1.40 snfs / 3.18 hours on Core i7 2.93GHz,Windows 7 64bit,and Cygwin / Feb 21, 2010)
- (79·10130+11)/9 =
- 8(7)1299<131>
- = 29 · 47 · 30689 · 61281119 · 9665135461<10> · 29681200953461<14> · 765193390824172680524071408475156495328391<42> · 155997873079564500166599006055494762249673764680833<51> (Sinkiti Sibata / Msieve 1.40 gnfs for P42 x P51 / 4.31 hours on Core i7 2.93GHz,Windows 7 64bit,and Cygwin / Feb 22, 2010)
- (79·10131+11)/9 =
- 8(7)1309<132>
- = 33 · 7 · 35951 · 10372753805809047624288042384834398515592956927<47> · 12454254392573457584724696684569739422182793402024586455139849538430513875516543<80> (Sinkiti Sibata / Msieve 1.40 snfs / 3.67 hours on Core i7 2.93GHz,Windows 7 64bit,and Cygwin / Feb 22, 2010)
- (79·10132+11)/9 =
- 8(7)1319<133>
- = 6323 · 6763 · 470903 · 993341 · 438825841287392541222142707724661149904220157329381337660937276550701718495464045977505154761600816162375043014777<114>
- (79·10133+11)/9 =
- 8(7)1329<134>
- = 89 · 920123 · 243993283 · 6757305470961401<16> · 650125597230034155342051430982789266799235328607944217866499000769236502688322432477794873490364776179<102>
- (79·10134+11)/9 =
- 8(7)1339<135>
- = 3 · 149 · 9101553523<10> · 26446701469718698243236143<26> · 15466951087517721094981355016780073<35> · 527454869711800456884699401674924837034187975159326969789855881<63> (Sinkiti Sibata / Msieve 1.40 snfs / 4.52 hours on Core i7 2.93GHz,Windows 7 64bit,and Cygwin / Feb 22, 2010)
- (79·10135+11)/9 =
- 8(7)1349<136>
- = 113 · 431 · 8779 · 16999469 · 2562368079914403685631917109751617393855264126491601016569<58> · 471310318275733112365507965451709142542502088967818564571297947<63> (Dmitry Domanov / Msieve 1.40 snfs / 3.22 hours / Feb 22, 2010)
- (79·10136+11)/9 =
- 8(7)1359<137>
- = 17 · 19 · 132738637 · 31229406105794931941400519743276923777465682137<47> · 65557288179168386962098419468279825208420841845120401264710523887159380860065117<80> (Dmitry Domanov / Msieve 1.40 snfs / 3.48 hours / Feb 22, 2010)
- (79·10137+11)/9 =
- 8(7)1369<138>
- = 3 · 7 · 7083269 · 949692129284799174539<21> · 68116355482092341689789679769535572177231319<44> · 91221521125160181032950795152576982418830694182966047197673518231<65> (Dmitry Domanov / Msieve 1.40 snfs / 4.59 hours / Feb 22, 2010)
- (79·10138+11)/9 =
- 8(7)1379<139>
- = 376039 · 24533381 · 15104708893<11> · 427389869678550131944413614747303<33> · 147386499969324766346397013444420865315421842561803503208739788710283940412507186739<84> (Serge Batalov / GMP-ECM B1=2000000, sigma=1250674417 for P33 / Feb 21, 2010)
- (79·10139+11)/9 =
- 8(7)1389<140>
- = 48028303 · 15373235273559810207493<23> · 118883632436223870990805778216530482381470715713029270099251008399987348928964648883253711212068548737502244601<111>
- (79·10140+11)/9 =
- 8(7)1399<141>
- = 32 · 13841 · 4259713 · 5068253 · 32354670543973<14> · 10087858838216867073182947204860567088363964256349498440016034370958411731026808859294087585482380535624275803<110>
- (79·10141+11)/9 =
- 8(7)1409<142>
- = 1019 · 39495106733<11> · 218105745398629339097626874982009862275627081855601872005960319549123642782781067941773486451717090860092825276694187460318863277<129>
- (79·10142+11)/9 =
- 8(7)1419<143>
- = 983 · 430009 · 295534576054093<15> · 123724891733466741439<21> · 5679212744455671760087386842527680432236056486262833166326831295831501488491811414502832703564536991<100>
- (79·10143+11)/9 =
- 8(7)1429<144>
- = 3 · 7 · 1170713 · 3302268439<10> · 28831014772627029312148681<26> · 172404199353545849890269185837117<33> · 2175177507240495062631237230771980523664961419686797838732281269165541<70> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=228703241 for P33 / Feb 17, 2010)
- (79·10144+11)/9 =
- 8(7)1439<145>
- = 42754594777<11> · 128576702884491039133<21> · 228335525338014160834074551731927833590907129052035909619<57> · 6993040064209997833650743269729019896968052620473505018301<58> (Sinkiti Sibata / Msieve 1.40 snfs / 11.47 hours on Core i7 2.93GHz,Windows 7 64bit,and Cygwin / Feb 22, 2010)
- (79·10145+11)/9 =
- 8(7)1449<146>
- = 23 · 1663568154477497504456305937539<31> · 901302524909491576658917172310182499513373<42> · 2545338578883492124987103335415360328002479692388063438328139633031421059<73> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=1550106893 for P31 / Feb 17, 2010) (Sinkiti Sibata / Msieve 1.40 snfs / 11.03 hours on Core i7 2.93GHz,Windows 7 64bit,and Cygwin / Feb 22, 2010)
- (79·10146+11)/9 =
- 8(7)1459<147>
- = 3 · 151 · 18375792628322693910795729118188910169<38> · 105448473863711398631449687673214298198968447549222795748427498899820285315849958304874356240099761955932847<108> (Sinkiti Sibata / Msieve 1.40 snfs / 12.67 hours on Core i7 2.93GHz,Windows 7 64bit,and Cygwin / Feb 22, 2010)
- (79·10147+11)/9 =
- 8(7)1469<148>
- = 337 · 443 · 661 · 1039 · 1069 · 2251 · 26899981 · 18309571909<11> · 1730425851761<13> · 322740853926731<15> · 572616983142773188493847955692407<33> · 225880853998913115332313920519205337712957773409513353<54> (Makoto Kamada / Msieve 1.45 for P33 x P54 / Feb 21, 2010)
- (79·10148+11)/9 =
- 8(7)1479<149>
- = 293 · 647 · 887 · 402928451 · 208239526856177<15> · 344938750908847<15> · 56048394239171106092657<23> · 684265327807883909659865999471866823<36> · 470292727236697606465634671514868730683929653<45> (Makoto Kamada / Msieve 1.45 for P36 x P45 / Feb 21, 2010)
- (79·10149+11)/9 =
- 8(7)1489<150>
- = 32 · 73 · 2769487926223287836563837651379276969<37> · 688961071360417676138142592820442313122914909<45> · 149023168394114814917304115590299513557243324550943509771809754777<66> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=1401175455 for P37 / Feb 17, 2010) (Dmitry Domanov / Msieve 1.40 snfs / 12.96 hours / Feb 23, 2010)
- (79·10150+11)/9 =
- 8(7)1499<151>
- = 286964081 · 30588419802190427371911322162224817878087598627989186485599839855141235525493442427652740893999823545086040847661968460010079720666426463937059<143>
- (79·10151+11)/9 =
- 8(7)1509<152>
- = 3581 · 5099 · 2044697 · 21595997 · 34669000501<11> · 117662705071<12> · 5082851345129<13> · 1961308500355830097560191<25> · 2677068980241297328955164794763712851334990222885727389656002190166460221<73>
- (79·10152+11)/9 =
- 8(7)1519<153>
- = 3 · 17 · 17211328976034858387799564270152505446623093681917211328976034858387799564270152505446623093681917211328976034858387799564270152505446623093681917211329<152>
- (79·10153+11)/9 =
- 8(7)1529<154>
- = 67390834369<11> · 40026585808430882232015733<26> · 415774624644074093246092239969473<33> · 1051304104648863685139903877881429397949799<43> · 7444728445716177427192831639368432172010401<43> (Sinkiti Sibata / Msieve 1.42 snfs / Nov 10, 2010)
- (79·10154+11)/9 =
- 8(7)1539<155>
- = 19 · 1913 · 2053 · 36037 · 37240126793873714526209<23> · 139872156032657121952748479<27> · 6266658253229815461792237681082728398319215567514495432462901643376244874198768295709124661167<94>
- (79·10155+11)/9 =
- 8(7)1549<156>
- = 3 · 7 · 770963709641<12> · 178129105355449<15> · 304366229837103997607083502260937704885820963430567396247277769701100219539584653982034355630007974526740811822565558982593971111<129>
- (79·10156+11)/9 =
- 8(7)1559<157>
- = 83 · 409 · 57719 · 4935791233<10> · 558515239033815010177339<24> · 1625071873711771903806953334839757280547107673600042031471397200083568263754263481551011306929368786820451051385869<115>
- (79·10157+11)/9 =
- 8(7)1569<158>
- = 1153 · 8779 · 30259010942082784229<20> · 19554397106414279390110573492785067<35> · 14655851863351431029551759677013771198309955812109918992999751101729894972278744983777158395167119<98> (Sinkiti Sibata / Msieve 1.40 snfs / Nov 10, 2010)
- (79·10158+11)/9 =
- 8(7)1579<159>
- = 35 · 29 · 2055769658030850857744701554034088865875073101358464101678543801538139761<73> · 60590684460749578589930120878657977599234952657184822573742835006373075731922543237<83> (Sinkiti Sibata / Msieve 1.40 snfs / Nov 11, 2010)
- (79·10159+11)/9 =
- 8(7)1589<160>
- = 57035203 · 561461401 · 77990754417091313137<20> · 2778999398141658609549587<25> · 1264707549777322208836397115248653403587830664082678312716029634923777186207200104852566313903546547<100>
- (79·10160+11)/9 =
- 8(7)1599<161>
- = 2364121 · 1867530941<10> · 141902385999580310718514319444969<33> · 140106207462780108816368790040490237168702168112849565476067955407767898202043595814888942563950409763401692350831<114> (Sinkiti Sibata / Msieve 1.40 snfs / Nov 11, 2010)
- (79·10161+11)/9 =
- 8(7)1609<162>
- = 3 · 7 · 1231 · 12301 · 573457 · 9408469054913<13> · 24557758130998241638012355079229<32> · 20833310122928645941443977296843597032125708517618403046679789352165178428934965489771519761501491244161<104> (Makoto Kamada / GMP-ECM 6.3 B1=1e6, sigma=1396160874 for P32 / Nov 7, 2010)
- (79·10162+11)/9 =
- 8(7)1619<163>
- = 71 · 257 · 4472444558887<13> · 107559343825191584053613263119488939246309775908390760469902515481951385467120857701960190696459434844403211739283501890862097789196767850913342211<147>
- (79·10163+11)/9 =
- 8(7)1629<164>
- = 1123 · 11257 · 75193 · 12053231447<11> · 635103121167855912762287512650801182156668003787720119<54> · 12063046560268769969536581704628584122444439863675575764126736670497979328074393781327761<89> (Sinkiti Sibata / Msieve 1.40 snfs / Nov 13, 2010)
- (79·10164+11)/9 =
- 8(7)1639<165>
- = 3 · 59 · 9568369 · 164688282559<12> · 17787882643644350177<20> · 176923875538744867255392629434257931848158585889670462397391525976922338828893900776378882402372785186302460840878390812815181<126>
- (79·10165+11)/9 =
- 8(7)1649<166>
- = 2797 · 93491023 · 14371075727<11> · 109033491718355088304046573126329880897<39> · 21422640774345132288034447930081816925157851582034714763610797988173578463791994644490671129170043847176511<107> (Sinkiti Sibata / Msieve 1.40 snfs / Nov 13, 2010)
- (79·10166+11)/9 =
- 8(7)1659<167>
- = 45323141151428721058697532795234195229<38> · 1936709935538321785278234983549385464788201194032970291765575951304345906125463760484568628434053048827256568574139259910011935951<130> (Sinkiti Sibata / Msieve 1.42 snfs / Nov 12, 2010)
- (79·10167+11)/9 =
- 8(7)1669<168>
- = 32 · 7 · 23 · 191 · 13003 · 3327281 · 52139923391<11> · 133875977505082512100982492126037951679922670859326859<54> · 10502114355765278301572451762106874710565086296208331940617991889151839042674852078394243<89> (Markus Tervooren / Msieve 1.47 for P54 x P89 / Nov 25, 2010)
- (79·10168+11)/9 =
- 8(7)1679<169>
- = 17 · 379 · 23531219 · 56239012605537605106187<23> · 1029471522695088452470757009334090353487527535347881103998348693745695909752384888876322115500437052632799950410894966115062589404387401<136>
- (79·10169+11)/9 =
- 8(7)1689<170>
- = 5443 · 175515604224551<15> · 136835417772001240035743<24> · 671478314417953254698410324687997370743342145732526347631258874785771155294538233628604917515812075759450690316756527947332551321<129>
- (79·10170+11)/9 =
- 8(7)1699<171>
- = 3 · 11467 · 68141 · 979487711071292791<18> · 249496517584349540241210733999711471658659<42> · 12272636344995531760861200385031475763296809<44> · 124854346658247096909007679407813171697036565674650401889339<60> (Sinkiti Sibata / Msieve 1.40 snfs / Apr 6, 2011)
- (79·10171+11)/9 =
- 8(7)1709<172>
- = 111599999495124175034794613000453251488316252572861479514454196587442043885294163987<84> · 78653923095772778561880650104522928110526187119017373284936736160695610135130490961770017<89> (Sinkiti Sibata / Msieve 1.42 snfs / Nov 14, 2010)
- (79·10172+11)/9 =
- 8(7)1719<173>
- = 19 · 313 · 1033 · 5581 · 1007381 · 1202569 · 3718269168812198177<19> · 11064706256042238911869<23> · 480981903054279669679257334285237613078710757788759<51> · 106797500559369373410954129127780238484423470969573764014443<60> (Erik Branger / GGNFS, Msieve gnfs for P51 x P60 / Nov 11, 2010)
- (79·10173+11)/9 =
- 8(7)1729<174>
- = 3 · 7 · 2269 · 14411333 · 104411714123119314709769<24> · 12242705769374693251524162226028602169349374247612106581039183794464947790040910298983483766259931092543801663979383372529363240764192893823<140>
- (79·10174+11)/9 =
- 8(7)1739<175>
- = 101501 · 4948841349552253<16> · 119607711075929628463193<24> · 146100448817981958387198672345651023131425032160410163860798855523407338562180119199532971650216489826404928532260933095604297836051<132>
- (79·10175+11)/9 =
- 8(7)1749<176>
- = 577 · 55109 · 1508955993031<13> · 420205988874186227<18> · 77342209978596842585659<23> · 1114037536278502754210896142920897<34> · 50527873911713768059832181535601251616635117062383449567448406340796219496088525553<83> (Serge Batalov / GMP-ECM B1=2000000, sigma=2960204860 for P34 / Nov 9, 2010)
- (79·10176+11)/9 =
- 8(7)1759<177>
- = 32 · 47 · 16967959 · 353048792738824439139930685615147122904818333693943429531905211<63> · 346401590660216291057770250731049843310589513657131170324298144905365142114845064187646110688172331729577<105> (Robert Backstrom / Msieve 1.44 snfs / Jan 4, 2012)
- (79·10177+11)/9 =
- 8(7)1769<178>
- = 89 · 4951 · 10968381993983561312517613<26> · 194382775644419330163027649<27> · 1031019021898458685346289421<28> · 9062220488193349412413199183264770702431680717073274255933005213550264798583949385904460350693<94>
- (79·10178+11)/9 =
- 8(7)1779<179>
- = 171707941 · 469129879 · 2861000231<10> · [380875655202329443006341310890906444211675731370307390240678099619958050052950984360148968170398732297884109998982063487230908674172923435818693491912631<153>] SUBMIT/RESERVE
- (79·10179+11)/9 =
- 8(7)1789<180>
- = 3 · 7 · 593 · 8779 · 261939197557<12> · 21352859521677721<17> · 1435519211792311631409869650516471119101715802987037121562299007573766986214805032172203421558875452606164099915921146015151687592658681642175161<145>
- (79·10180+11)/9 =
- 8(7)1799<181>
- = 349 · 10894332165787392842899739<26> · [2308652365426918348522993072852964469091334307836193499011483077099934221274541502123382774127053575798663240851454002390589575940401043511061919730677789<154>] SUBMIT/RESERVE
- (79·10181+11)/9 =
- 8(7)1809<182>
- = 43251683 · 273064257485898211<18> · [7432188454016360684283119631153389540607978068667565224945379325012293512722870278866863104325223470093141441410069829824409900703191481417006395541154257883<157>] SUBMIT/RESERVE
- (79·10182+11)/9 =
- 8(7)1819<183>
- = 3 · 64221967 · 4180985042118870623767254709084684423<37> · [1089685345144754609508235295011581096193149431538030109068625897995387966699116097905553133125556694920444436061884402270017065217790005673<139>] (Ignacio Santos / GMP-ECM 6.3 B1=1000000, sigma=2149433059 for P37 / Jan 16, 2011) SUBMIT/RESERVE
- (79·10183+11)/9 =
- 8(7)1829<184>
- = 1423 · 368743 · 13884727 · [1204809967904009423112072937719945222422186791839331454746375420100376539818634358096657327026797313690658738079445340270890138101227677191677662194683252788971102866493<169>] SUBMIT/RESERVE
- (79·10184+11)/9 =
- 8(7)1839<185>
- = 17 · 61 · 97 · 3049 · 2238978293<10> · 115423179281475277<18> · 1107474540603549711836977138081568706358915675015771374655235280053697744617371137579979407977658537828036023355963486719848474051801773391233013145399<151>
- (79·10185+11)/9 =
- 8(7)1849<186>
- = 33 · 7 · 9085938086906006311587864130630268713<37> · 511155460462817278538197617390017373606335365290530075315392183122871361229022536012023134071311670937390847795844919423612856705840662959298178647<147> (Robert Backstrom / Msieve 1.44 snfs / Nov 12, 2010)
- (79·10186+11)/9 =
- 8(7)1859<187>
- = 29 · 109 · 24091 · 59256739 · 1153712709395669<16> · 1686047609088104507478323856175973687848837680047682531913164617406843710438488851625540701151467177114119034402129601512660214019673855632155286429569945519<157>
- (79·10187+11)/9 =
- 8(7)1869<188>
- = 383 · 1554757 · 673178658306708737347<21> · 218974199775628476850425406729682992367244229091501813985801424711740334245545761343237604134858195420627755192281077764001699346947072700770461569579431597347<159>
- (79·10188+11)/9 =
- 8(7)1879<189>
- = 3 · 2284520629219<13> · [128076143787162937937823239145812634821981126249912592031954785617124972147687366622702122819054144638769963550502905340598899150059473452331678597651198963941148118864056514747<177>] SUBMIT/RESERVE
- (79·10189+11)/9 =
- 8(7)1889<190>
- = 23 · 563 · 93701 · 263489 · 43091404853726252006022547801<29> · 487223523101768407723296912428713487754193871<45> · 1307743996738871699244351425042700944017301582437942874816682128281701282068888353279740568264099270109<103> (Sinkiti Sibata / Msieve 1.42 snfs / Nov 25, 2010)
- (79·10190+11)/9 =
- 8(7)1899<191>
- = 19 · 419 · 3370192711<10> · 3271615242869477817656240343023627401696037468218524501071793961500811187167650701362149912032351804601745116128902999300171523201621928275461271854771379719007329312054330831549<178>
- (79·10191+11)/9 =
- 8(7)1909<192>
- = 3 · 72 · 134566207425201754900412801<27> · 44374271327873649431302205897262242253932151609950050891158230168515920278002050717972677240671441165738146387405978566013735442387731244317588686580422269369210657<164>
- (79·10192+11)/9 =
- 8(7)1919<193>
- = 381029895274981217<18> · [23036979215090304652364720725049054077341271353240309022830139638318576540439158368348416061142908614197724186775171807104546820075837479785789394010851854306553095194420680787<176>] SUBMIT/RESERVE
- (79·10193+11)/9 =
- 8(7)1929<194>
- = 601 · 304449143 · 285412123002282105155566557367016745972551939226684841819398670673587<69> · 1680826698868267071415736219560939053766679460318654121710822848819091080069636085385650909676743808535198285767519<115> (matsui / Msieve 1.49 snfs / May 3, 2011)
- (79·10194+11)/9 =
- 8(7)1939<195>
- = 32 · 1904054647942141427843000211868936807259904623387257036022849<61> · 51222723204368101636612702626147537107589209420026675587363009159316623703351936478194997816561221666740420045099407784083951235046619<134> (Robert Backstrom / Msieve 1.44 snfs / Nov 11, 2010)
- (79·10195+11)/9 =
- 8(7)1949<196>
- = 4763556185285440637306954750743182837876871748087239309<55> · 1842694288962563783757369020309887205531818003777030617105528015395300745387129693926244876729246657111421955845152921791065834607848942168831<142> (Sinkiti Sibata / Msieve 1.40 snfs / Dec 30, 2010)
- (79·10196+11)/9 =
- 8(7)1959<197>
- = 351551 · 1224857 · 86779377908987<14> · 421494723546311<15> · 28511812732949292503<20> · 195468756881196282339355702633140448366379010087468919661947666619034501046077755005393818709238991989513385440502517469519294334306222607<138>
- (79·10197+11)/9 =
- 8(7)1969<198>
- = 3 · 7 · 71 · 83 · 7092981808746275062243159986245002365823679246384150507686906804503953663974027116738808576582206312394671464754614254020329024571345969615102484608678397919870853860332903265195815679440318843<193>
- (79·10198+11)/9 =
- 8(7)1979<199>
- = 4534297 · 500982875752364276369629883490221<33> · [3864130073641835984616339945167081490821181051368298044848997112715041694401515149028830427327833215930765317688131340733786778986518993084968619042341841493367<160>] (Ignacio Santos / GMP-ECM 6.3 B1=11000000, sigma=1832343786 for P33 / Nov 9, 2010) SUBMIT/RESERVE
- (79·10199+11)/9 =
- 8(7)1989<200>
- = 283 · 100313701 · 3091988661348325096264952375662432301999702421555241718307209911371538890966609182831879680944616246624141481006088798839265524624011870845342553644053765757686056450547980887584593652374613<190>
- (79·10200+11)/9 =
- 8(7)1999<201>
- = 3 · 17 · 16323293424747672553<20> · 18522393335289237795491<23> · 4421614355752487935761131<25> · 56430985313830547777147764869739372792473312451<47> · 228145034432634996734190740106591700202768900067064105519776855952989840693044224126483<87> (Erik Branger / GGNFS, Msieve gnfs for P47 x P87 / Nov 13, 2011)
4. References
- A103091 - OEIS (The OEIS Foundation Inc.)