[PR]ΕμtΜDπΘlξρΪ:‘lCΜ]E»²Δτ6ͺΙ1lͺo^
Factorizations of 499...99 2008-10-02(Thu) 23:21
Last update
Oct 2, 2008 23:21 JSTSequence
4, 49, 499, 4999, 49999, ...General term
5·10n -1833...33 .Room for prime numbers
upper limit of periods: 10000Prime numbers
5·102 -1 = 499 is prime.5·103 -1 = 4999 is prime.5·104 -1 = 49999 is prime.5·106 -1 = 4999999 is prime.5·1014 -1 = 4( 9) 14 <15> is prime.5·1054 -1 = 4( 9) 54 <55> is prime.5·10210 -1 = 4( 9) 210 <211> is prime.
5·10390 -1 = 4( 9) 390 <391> is prime.
5·10594 -1 = 4( 9) 594 <595> is prime.
5·103460 -1 = 4( 9) 3460 <3461> is prime. (Chris Caldwell, Harvey Dubner / Dubner Cruncher / 1989)
5·105028 -1 = 4( 9) 5028 <5029> is prime. (Harvey Dubner / Dubner Cruncher / 1991)
5·105219 -1 = 4( 9) 5219 <5220> is prime.
5·105332 -1 = 4( 9) 5332 <5333> is prime.
5·108072 -1 = 4( 9) 8072 <8073> is prime. (Harvey Dubner / Dubner Cruncher / Oct 1, 1994)
5·1015796 -1 = 4( 9) 15796 <15797> is prime. (Harvey Dubner / Dubner Cruncher / Jun 16, 1999)
5·1016131 -1 = 4( 9) 16131 <16132> is prime. (Harvey Dubner / Dubner Cruncher / Jun 16, 1999)
5·1021456 -1 = 4( 9) 21456 <21457> is prime. (Eric J. Sorensen / Yves Gallot's Proth.exe / Sep 24, 2001)
5·1029282 -1 = 4( 9) 29282 <29283> is prime. (Eric J. Sorensen / Yves Gallot's Proth.exe / Oct 7, 2001)
5·1078790 -1 = 4( 9) 78790 <78791> is prime. (Eric J. Sorensen / Yves Gallot's Proth.exe / Jan 4, 2005)
5·1085142 -1 = 4( 9) 85142 <85143> is prime. (Eric J. Sorensen / Yves Gallot's Proth.exe / Oct 9, 2005)
Searched:Condition
n≤200Status
Completed up to n=100. (May 9, 2003)172 , 173 , 174 , 177 , 179 , 180 , 181 , 182 , 183 , 185 , 186 , 187 , 189 , 191 , 193 , 197 , 198 , 199 (18/200)Factorization results
5·101 -1 =49 = 72 5·102 -1 =499 = definitely prime number 5·103 -1 =4999 = definitely prime number 5·104 -1 =49999 = definitely prime number 5·105 -1 =499999 = 31 · 1272 5·106 -1 =4999999 = definitely prime number 5·107 -1 =49999999 = 7 · 23 · 310559 5·108 -1 =499999999 = 691 · 723589 5·109 -1 =4999999999<10> = 17 · 14033 · 20959 5·1010 -1 =49999999999<11> = 29 · 1724137931<10> 5·1011 -1 =499999999999<12> = 2969 · 168406871 5·1012 -1 =4999999999999<13> = 491 · 10183299389<11> 5·1013 -1 =49999999999999<14> = 7 · 7142857142857<13> 5·1014 -1 =499999999999999<15> = definitely prime number 5·1015 -1 =4999999999999999<16> = 17737 · 281896600327<12> 5·1016 -1 =49999999999999999<17> = 19 · 2631578947368421<16> 5·1017 -1 =499999999999999999<18> = 223 · 208513 · 10753058401<11> 5·1018 -1 =4999999999999999999<19> = 1871 · 3061 · 873037477229<12> 5·1019 -1 =49999999999999999999<20> = 7 · 782209 · 9131647862473<13> 5·1020 -1 =499999999999999999999<21> = 31 · 8999 · 1792313841322871<16> 5·1021 -1 =4999999999999999999999<22> = 1049 · 2137 · 2230437170146223<16> 5·1022 -1 =49999999999999999999999<23> = 1699 · 2069 · 3121 · 1382819 · 3295771 5·1023 -1 =499999999999999999999999<24> = 41717706103<11> · 11985318626233<14> 5·1024 -1 =4999999999999999999999999<25> = 59 · 88369891 · 958989105371471<15> 5·1025 -1 =49999999999999999999999999<26> = 7 · 17 · 420168067226890756302521<24> 5·1026 -1 =499999999999999999999999999<27> = 229 · 367021 · 409453351 · 14529115561<11> 5·1027 -1 =4999999999999999999999999999<28> = 4728835511159<13> · 1057342761912761<16> 5·1028 -1 =49999999999999999999999999999<29> = 71 · 76863049 · 9162079325173218881<19> 5·1029 -1 =499999999999999999999999999999<30> = 23 · 47 · 457 · 3691153 · 274199124029771599<18> 5·1030 -1 =4999999999999999999999999999999<31> = 761 · 1295159 · 1798241 · 44167979 · 63871459 5·1031 -1 =49999999999999999999999999999999<32> = 7 · 7142857142857142857142857142857<31> 5·1032 -1 =499999999999999999999999999999999<33> = 5449 · 116201 · 46344148759<11> · 17039169430889<14> 5·1033 -1 =4999999999999999999999999999999999<34> = 38431 · 131377567 · 990300741539880346687<21> 5·1034 -1 =49999999999999999999999999999999999<35> = 19 · 151 · 3389 · 3539 · 1453072637071271903252101<25> 5·1035 -1 =499999999999999999999999999999999999<36> = 31 · 89 · 5393 · 46103 · 91873 · 7933609111971493583<19> 5·1036 -1 =4999999999999999999999999999999999999<37> = 5821859 · 14350319 · 59847603710232662550619<23> 5·1037 -1 =49999999999999999999999999999999999999<38> = 7 · 277294097 · 25759138835390148450014993081<29> 5·1038 -1 =499999999999999999999999999999999999999<39> = 29 · 251 · 11366466029<11> · 2227468931749<13> · 2713071075761<13> 5·1039 -1 =4999999999999999999999999999999999999999<40> = 94601951941577<14> · 52853032071556332079876487<26> 5·1040 -1 =49999999999999999999999999999999999999999<41> = 51031 · 979796594227038466814289353530207129<36> 5·1041 -1 =499999999999999999999999999999999999999999<42> = 172 · 103993 · 4049537 · 2747806793519<13> · 1495121512283929<16> 5·1042 -1 =4999999999999999999999999999999999999999999<43> = 281988929 · 17731192560400128332697770556800831<35> 5·1043 -1 =49999999999999999999999999999999999999999999<44> = 72 · 15607 · 66981539719<11> · 83462160791<11> · 11695256285559017<17> 5·1044 -1 =499999999999999999999999999999999999999999999<45> = 124179401 · 544903140421<12> · 7389263145045437512323419<25> 5·1045 -1 =4999999999999999999999999999999999999999999999<46> = 29383 · 90641 · 4964564212417<13> · 378153434087985921176249<24> 5·1046 -1 =49999999999999999999999999999999999999999999999<47> = 61 · 819672131147540983606557377049180327868852459<45> 5·1047 -1 =499999999999999999999999999999999999999999999999<48> = 127 · 2113 · 1863231364891504037622367719889249527670849<43> 5·1048 -1 =4999999999999999999999999999999999999999999999999<49> = 401 · 419 · 8681 · 403839385653823501<18> · 8488543527639500097041<22> 5·1049 -1 =49999999999999999999999999999999999999999999999999<50> = 7 · 29873 · 3277033 · 42512082058217<14> · 1716326607809847779992969<25> 5·1050 -1 =499999999999999999999999999999999999999999999999999<51> = 31 · 191 · 140330365181<12> · 1690219812601<13> · 356024675868920968979299<24> 5·1051 -1 =4999999999999999999999999999999999999999999999999999<52> = 23 · 113 · 887 · 212476691929898164831<21> · 10207721412314026811175233<26> 5·1052 -1 =49999999999999999999999999999999999999999999999999999<53> = 19 · 2631578947368421052631578947368421052631578947368421<52> 5·1053 -1 =499999999999999999999999999999999999999999999999999999<54> = 4171219943533847<16> · 119869008771664354615470177157617001817<39> 5·1054 -1 =4999999999999999999999999999999999999999999999999999999<55> = definitely prime number 5·1055 -1 =49999999999999999999999999999999999999999999999999999999<56> = 7 · 6628103 · 359638647233<12> · 2996514338887868420109999937680284143<37> 5·1056 -1 =499999999999999999999999999999999999999999999999999999999<57> = 1306849 · 21861761939<11> · 17500861733896477551069397730000965327109<41> 5·1057 -1 =4999999999999999999999999999999999999999999999999999999999<58> = 17 · 6977 · 39799 · 1059205433557112844529660590916081636064965120489<49> 5·1058 -1 =49999999999999999999999999999999999999999999999999999999999<59> = 1381 · 11161 · 29745719 · 197012659 · 14201186189899<14> · 38978937129668780992541<23> 5·1059 -1 =499999999999999999999999999999999999999999999999999999999999<60> = 12119 · 645013662506162113114235303<27> · 63963807121278519686890735807<29> 5·1060 -1 =4999999999999999999999999999999999999999999999999999999999999<61> = 46022462334366034383091<23> · 108642600729913241687795877946404353989<39> 5·1061 -1 =49999999999999999999999999999999999999999999999999999999999999<62> = 7 · 2999 · 36497 · 66841 · 1347794196963254122631<22> · 724388938827042065050019489<27> 5·1062 -1 =499999999999999999999999999999999999999999999999999999999999999<63> = 286708827469<12> · 1743929562315488233203353793595015722358410772661371<52> 5·1063 -1 =4999999999999999999999999999999999999999999999999999999999999999<64> = 71 · 18191 · 3416551 · 1133097219382511529197024183271791397387679431115009<52> 5·1064 -1 =49999999999999999999999999999999999999999999999999999999999999999<65> = 226769 · 1806640527163085400901<22> · 122043476729296339368106595283713408771<39> 5·1065 -1 =499999999999999999999999999999999999999999999999999999999999999999<66> = 31 · 647 · 2017 · 136601 · 279758231 · 391413561881279890439<21> · 826276708121582603689519<24> 5·1066 -1 =4999999999999999999999999999999999999999999999999999999999999999999<67> = 292 · 509 · 587864447363206252128041<24> · 19869138190551905570637035479070888731<38> 5·1067 -1 =49999999999999999999999999999999999999999999999999999999999999999999<68> = 7 · 326369 · 140272480759<12> · 1233569997284703122617<22> · 126481436050474351353809584151<30> 5·1068 -1 =499999999999999999999999999999999999999999999999999999999999999999999<69> = 539018761 · 927611497366786459590411176801321021180559613211681884297159<60> 5·1069 -1 =4999999999999999999999999999999999999999999999999999999999999999999999<70> = 10223 · 21841 · 222700765249<12> · 100553551744179667782063878013845536795815861602657<51> 5·1070 -1 =49999999999999999999999999999999999999999999999999999999999999999999999<71> = 19 · 3701 · 20884099 · 4020195440200721<16> · 8469044373252048293813826925259521000805899<43> 5·1071 -1 =499999999999999999999999999999999999999999999999999999999999999999999999<72> = 39226337 · 12746538123098264311551700583207654591862604963598818824199669727<65> 5·1072 -1 =4999999999999999999999999999999999999999999999999999999999999999999999999<73> = 179 · 379 · 142268654306145251<18> · 518046256518744534201143852172477041478507420743989<51> 5·1073 -1 =49999999999999999999999999999999999999999999999999999999999999999999999999<74> = 7 · 17 · 232 · 659538071 · 88794612455729<14> · 553545757991183<15> · 24501200153789689921545276275617<32> 5·1074 -1 =499999999999999999999999999999999999999999999999999999999999999999999999999<75> = 868742401 · 575544602662947494374687485755630799468713856410468907226734982399<66> 5·1075 -1 =4999999999999999999999999999999999999999999999999999999999999999999999999999<76> = 47 · 1103 · 3967 · 20809 · 179497 · 70705384718453791<17> · 92060544483851155170132315922059142943119<41> 5·1076 -1 =49999999999999999999999999999999999999999999999999999999999999999999999999999<77> = 1491079 · 27070291141<11> · 2436458076398993106511<22> · 508413976509188420071335762413852943931<39> 5·1077 -1 =499999999999999999999999999999999999999999999999999999999999999999999999999999<78> = 1721 · 13457 · 3142611977<10> · 1152796297057<13> · 5959331539129246946854374243410458282053927233903<49> 5·1078 -1 =4999999999999999999999999999999999999999999999999999999999999999999999999999999<79> = 6869 · 185749 · 10133387274526757029763294405551<32> · 386718868974885884183034458894767921529<39> 5·1079 -1 =49999999999999999999999999999999999999999999999999999999999999999999999999999999<80> = 7 · 89 · 257 · 3663911 · 144143696369<12> · 983172155462527<15> · 57384473092865601833<20> · 10480555334574514749761<23> 5·1080 -1 =499999999999999999999999999999999999999999999999999999999999999999999999999999999<81> = 312 · 9471311 · 72501946921<11> · 757681791255414060511091973700879622125929902613500513730089<60> 5·1081 -1 =4999999999999999999999999999999999999999999999999999999999999999999999999999999999<82> = 2220122479<10> · 2252128000727296811447671486776563555528055170869696869548249819779424881<73> 5·1082 -1 =49999999999999999999999999999999999999999999999999999999999999999999999999999999999<83> = 59 · 131 · 74084489 · 4262242939<10> · 3999697664940175951<19> · 5122170645502040610147144916761278538394811<43> 5·1083 -1 =499999999999999999999999999999999999999999999999999999999999999999999999999999999999<84> = 311 · 89578207 · 53670294504958910171671<23> · 334405392090798370190636746133681976286074293107697<51> 5·1084 -1 =4999999999999999999999999999999999999999999999999999999999999999999999999999999999999<85> = 21096806531<11> · 910157530676614206199<21> · 260397444216612572991415700896842524291999850746407571<54> (Tetsuya Kobayashi / GMP-ECM 5.0.1 B1=250000) 5·1085 -1 =49999999999999999999999999999999999999999999999999999999999999999999999999999999999999<86> = 72 · 97 · 167 · 71993 · 156967 · 468889 · 11888225796280073236289818089617168424724309992639798189226237711<65> 5·1086 -1 =499999999999999999999999999999999999999999999999999999999999999999999999999999999999999<87> = 320219 · 821651 · 1804199 · 16429609614080419<17> · 64109713672026372440234786403128975420662601832221891<53> 5·1087 -1 =4999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<88> = 5471 · 281986659391<12> · 80985338346257<14> · 3960651466544880631<19> · 14819506360555096801<20> · 681817214224663305577<21> 5·1088 -1 =49999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<89> = 19 · 251 · 788222383415680615531<21> · 13301294782996692650772779830245783046918888799194961081470806941<65> 5·1089 -1 =499999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<90> = 17 · 127 · 22955087 · 10088774591510569752491188790492301084872447142512973564801027984016307522045503<80> 5·1090 -1 =4999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<91> = 3600156366041<13> · 1388828565104346367390732883221933908575097904441526411721945028739732315788439<79> 5·1091 -1 =49999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<92> = 7 · 124178543 · 56595520855166896490633<23> · 1016350121138100285575150664078603665704389785081622082756303<61> 5·1092 -1 =499999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<93> = 109 · 4451 · 5939 · 166993864666176028827919<24> · 1039135235455188198892946892178092736562703887865487222957021<61> (Tetsuya Kobayashi / GMP-ECM 5.0.1) 5·1093 -1 =4999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<94> = 166538826833<12> · 1406177828502620908247<22> · 21350805158152830860520784562872824898695271244778334287154249<62> 5·1094 -1 =49999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<95> = 29 · 2212770528161<13> · 779176109357976501851734459821169737249971158403291789059073820632445599196078571<81> 5·1095 -1 =499999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<96> = 23 · 31 · 4127 · 5591 · 15133469089<11> · 3436322642497<13> · 126327038939383169511047<24> · 4626235842137982052517224390030337830489<40> 5·1096 -1 =4999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<97> = 199 · 409 · 2549 · 4301920031<10> · 5602236664415060835237041259349510711939653660542440787058692336479570758117331<79> 5·1097 -1 =49999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<98> = 7 · 224143771996732776950082953712018457<36> · 31867301416526801551593357003400355492602350106995416964769201<62> 5·1098 -1 =499999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<99> = 71 · 21061 · 32369 · 336132856559<12> · 15497820401699<14> · 140580007773556529<18> · 2975610929009003659679<22> · 4740477468725048309861911<25> 5·1099 -1 =4999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 <100> = 220217 · 444720257 · 51054291106366982498617178218209509431006624318394826526089092486656912521526928471671<86> 5·10100 -1 =4( 9) 100 <101> = 359 · 71761 · 51118560947729578842221<23> · 37967189886147837365372595097662947484177171817130693531332288520596381<71> (Tetsuya Kobayashi / GMP-ECM 5.0.1) 5·10101 -1 =4( 9) 101 <102> = 66503233 · 7518431472346615088622834321453214161783683509040831142750608831302983420369954044189099799103<94> 5·10102 -1 =4( 9) 102 <103> = 77445861443580871<17> · 2048606644769912133818855399<28> · 141174718795035969912255984139<30> · 223231913053410135365883183629<30> 5·10103 -1 =4( 9) 103 <104> = 7 · 104012801 · 1194344807225389247<19> · 57498358564889674751215812621408585787653430022209464428054840226827603587831<77> 5·10104 -1 =4( 9) 104 <105> = 389 · 6679 · 212391381165121686295741<24> · 906091529427786757083878431734364297770378703199281665650555796735419488169<75> 5·10105 -1 =4( 9) 105 <106> = 17 · 226783 · 773731739146650359<18> · 1676178147958646233562725748630699804202114929314675216287886035119674866069804151<82> 5·10106 -1 =4( 9) 106 <107> = 19 · 61 · 448580653183815696347596509441422230841080789699<48> · 96171420178862927652971517159689674091160642927176945539<56> (Makoto Kamada / SNFS / 7:01:13:46) 5·10107 -1 =4( 9) 107 <108> = 28559 · 17507615812878602191953499772400994432578171504604502958787072376483770440141461535768059105710984278161 <104> 5·10108 -1 =4( 9) 108 <109> = 269 · 9199 · 37554191 · 226966348667797098201473126585921<33> · 237059423406092043532584485243978378078675115458049696864598139<63> (Naoki Yamamoto) 5·10109 -1 =4( 9) 109 <110> = 7 · 151 · 40659161 · 399165182679651943<18> · 736887192641191481<18> · 3955332002006630984264161126350907881288913862573770427420444089<64> 5·10110 -1 =4( 9) 110 <111> = 31 · 7229 · 1269354537069049<16> · 196597424979150079<18> · 8940654674327449305288389922259782922968356685248805705937331644042476131<73> 5·10111 -1 =4( 9) 111 <112> = 380966671 · 464148137 · 10087754249<11> · 74912161677127<14> · 4597549596809249<16> · 11259529294618699281913727<26> · 722824606755234863808146777353<30> 5·10112 -1 =4( 9) 112 <113> = 541 · 47555750069<11> · 17580027457273324381682122351<29> · 110547812752997689624768501026869827298090082938184622995654239202672881<72> (Tetsuya Kobayashi / GMP-ECM 5.0.3) 5·10113 -1 =4( 9) 113 <114> = 839 · 1223 · 2597055515591<13> · 1504561409656701841<19> · 124706885962490142186110724170071181693577935888718649611555069179218478742857<78> 5·10114 -1 =4( 9) 114 <115> = 126583211 · 1447145884664060547607987361879<31> · 58295675470326978906201157594508111<35> · 468214914404256693353199842140909817566661<42> (Naoki Yamamoto) 5·10115 -1 =4( 9) 115 <116> = 7 · 24223 · 844200728407<12> · 257974230067681<15> · 926611401031357397094287<24> · 1461249407848068148010004900632985798913488360897501123117071<61> 5·10116 -1 =4( 9) 116 <117> = 149 · 3610913401<10> · 6905844119<10> · 134570507976557634605170316499390831476235505207831538496233020505472452668028816354301004899229<96> 5·10117 -1 =4( 9) 117 <118> = 23 · 2067841977583213889<19> · 773956372891384392141906610342793159273<39> · 135833953232315983621727763569180848191814905661946744078129<60> (Naoki Yamamoto) 5·10118 -1 =4( 9) 118 <119> = 2029 · 24419 · 4779067533081171620075089<25> · 2786618623875381039505630019<28> · 75777344064930131478467378162643396901573118106627819834739<59> 5·10119 -1 =4( 9) 119 <120> = 1823 · 423744194695234481<18> · 2359021240961465955909271607<28> · 274377012411930332896579465900592383987866673386157426062973517910681239<72> 5·10120 -1 =4( 9) 120 <121> = 1072520549<10> · 428998469609<12> · 132187016174291209658899<24> · 513994800908882164570571736671<30> · 159941481343857208967274224370322882563454005191<48> 5·10121 -1 =4( 9) 121 <122> = 7 · 17 · 47 · 8939746111210441623457893795816198819953513320221705703558018952261755766136241730734847130341498301448238870016091543 <118> 5·10122 -1 =4( 9) 122 <123> = 29 · 1361 · 151969 · 3820259 · 65730931117935949<17> · 295580112727441787209<21> · 1123106842576913778431910010456283868933594020826855540064402870654661<70> 5·10123 -1 =4( 9) 123 <124> = 89 · 2111 · 8215978320845452759352519383001<31> · 3239160589249899026971792199328906772388800723424699494389476245714793002129219351491281<88> (Tetsuya Kobayashi / GMP-ECM 5.0.3 (B1=1000000)) 5·10124 -1 =4( 9) 124 <125> = 19 · 13355127649<11> · 31051187578097616642241<23> · 6345855011381784087829871089920571071796570193875981656725271537907550424647305775545196869<91> 5·10125 -1 =4( 9) 125 <126> = 31 · 992445257 · 36167938192618912257635160348826241<35> · 541041326367575421678108269681570849<36> · 830515149780762684023194221858216749394061433<45> (Sander Hoogendoorn / GGNFS-0.42.0 for P35) (Makoto Kamada / PPSIQS 1.1 / 1:35:00:76) 5·10126 -1 =4( 9) 126 <127> = 285484979731787951<18> · 17514056272583870854330138580990379918626129638284884533063763026487208290203482536297575718330574369082710449 <110> 5·10127 -1 =4( 9) 127 <128> = 72 · 2193007 · 465300914801141137465124184207681368038292180740035606501083876603946926177022634925935215055522078188737646342139689793 <120> 5·10128 -1 =4( 9) 128 <129> = 2132863679<10> · 80163415599119<14> · 358766816800741<15> · 42588483156191111202485499558026020951227589<44> · 191393089402690967137916593562072406383348202151<48> (Naoki Yamamoto) 5·10129 -1 =4( 9) 129 <130> = 28806180210361<14> · 46464233742069111351508303<26> · 3735644598134561931083031008165112883162540399392867487389560821947392229292244653540388953<91> (Tetsuya Kobayashi / GMP-ECM 5.0.3) 5·10130 -1 =4( 9) 130 <131> = 739 · 1129 · 1779149 · 37524595431275311<17> · 7628309663740789043344274685157484199841<40> · 117672497216416907975811138393270288338026728779873725975710671<63> (Sander Hoogendoorn / GGNFS-0.42.0) 5·10131 -1 =4( 9) 131 <132> = 127 · 593 · 919 · 43461137 · 15053075311<11> · 123330985375540225457<21> · 6765385965330567580673<22> · 13234422065464900721853289901933749428169475457721487899708932793<65> 5·10132 -1 =4( 9) 132 <133> = 181 · 50261 · 288475492849<12> · 1905247411853381893815328568819284588489745220990160150662429364473877215513217076215366687311332715324899825072711 <115> 5·10133 -1 =4( 9) 133 <134> = 7 · 71 · 219487417057<12> · 2348810983951<13> · 15643468407459141953163921151000061497<38> · 12474492012328826373816556204599871102049686859053368900342040470592073<71> (Sander Hoogendoorn / GGNFS 0.53.0 with getdeps 0.50.2-k1) 5·10134 -1 =4( 9) 134 <135> = 1932968767902669019<19> · 399681339598326181051<21> · 685338713864844244229<21> · 4617939435919416571588938626659<31> · 204492694288501725832781182620621901105234361<45> 5·10135 -1 =4( 9) 135 <136> = 269003202410838504214036520941412612134351136344950318928159<60> · 18587139317262429780586757996354609670472835010983311369908899791500395369761<77> (Sander Hoogendoorn) 5·10136 -1 =4( 9) 136 <137> = 49739 · 37933257899<11> · 192354257809333079137411266279438005089<39> · 247427558723526151962343402114292522351<39> · 556804757026412458852371557261880118927562681<45> (Tetsuya Kobayashi / GMP-ECM 5.0.3 (B1=1000000) for P39(24742...)) (Makoto Kamada / PPSIQS 1.1 / 1:03:34:68) 5·10137 -1 =4( 9) 137 <138> = 17 · 746287 · 4644161 · 2112435529676231<16> · 31897267094030675863<20> · 125942120413467224888500799828741123112891687548568287882198803177520458208587047174902657<90> 5·10138 -1 =4( 9) 138 <139> = 251 · 30848894051<11> · 858292490077141133131811<24> · 4998450918195148039242942777839<31> · 150517133684174871077229116828872221166329793521275015917468006604287531<72> 5·10139 -1 =4( 9) 139 <140> = 7 · 23 · 2473 · 193513 · 612751 · 520906705509951127<18> · 2033133467853503882944692120674142232919355300389999380443264663317076883841236293065012518784554572990983 <106> 5·10140 -1 =4( 9) 140 <141> = 31 · 59 · 193451811779<12> · 4608628097463739<16> · 414707186931967381<18> · 739384381254583343700514662475642927587293336383863496575684033762658639611948623521559798071<93> 5·10141 -1 =4( 9) 141 <142> = 863 · 864112969 · 33102413419941380298625729200482713<35> · 202548498000084611654776402535431487378132205253772216085513563043908316903499360835198098115009<96> (Greg Childers / GGNFS) 5·10142 -1 =4( 9) 142 <143> = 19 · 33738391 · 69976289 · 727879169 · 14451133963291796815528100748696733275771551<44> · 105969262443706424717542949006868182672629853917824633425083022550272421341<75> (Greg Childers / GGNFS) 5·10143 -1 =4( 9) 143 <144> = 25475602727<11> · 121025048944398409<18> · 162169907734099351982810784387864555084768717577684814872172611542454903077069853784159799137292780392149514685685793 <117> 5·10144 -1 =4( 9) 144 <145> = 431 · 184589806882759<15> · 62847067615245909702116215011262763058542381013287871463053198226335816003644454302833001096420995430316196612233370219895833031 <128> 5·10145 -1 =4( 9) 145 <146> = 7 · 191 · 200407 · 30320577358085873<17> · 3742689245540972587559<22> · 10770666850886758816127596408319<32> · 152672874066731926396057308274042971603911517666371368472643836198617<69> (Greg Childers / GGNFS) 5·10146 -1 =4( 9) 146 <147> = 1324743175841<13> · 41231655271646690609789<23> · 491797844488087910675065491701111<33> · 18613194785067937897308160940271109215879924182776436506899598937897470234894541<80> (Tetsuya Kobayashi / GMP-ECM 5.0.3 (B1=1000000)) 5·10147 -1 =4( 9) 147 <148> = 30241 · 165338447802652028702754538540392182798187890612082933765417810257597301676531860718891571045931020799576733573625210806520948381336596012036639 <144> 5·10148 -1 =4( 9) 148 <149> = 659 · 75872534142640364188163884673748103186646433990895295902883156297420333839150227617602427921092564491654021244309559939301972685887708649468892261 <146> 5·10149 -1 =4( 9) 149 <150> = 439 · 6361 · 9892593989592316723951<22> · 12991330986777786451229660905897078106018495159<47> · 1393208949869384358841491740657456164913361005125028453793652095448657424009<76> (Greg Childers / GGNFS) 5·10150 -1 =4( 9) 150 <151> = 29 · 1439 · 4591 · 8627111 · 3025091629186196107796613330751766546521832211595667959252285632901129362739800679669696793905950113922940539746028462910563249258284429 <136> 5·10151 -1 =4( 9) 151 <152> = 7 · 937 · 1896379496319300094129<22> · 4019824773606285815131597580589717782737580200683987654218740047905803189496129281298225033541766939719103076480608786277761009 <127> 5·10152 -1 =4( 9) 152 <153> = 6855481 · 2245341102733892629<19> · 744672514925099317753393598897750509322858911004792161<54> · 43619875480449736340301463870436173570992711432762799275899219166322466491<74> (Tyler Cadigan / GGNFS-0.77.1-20060722-pentium4 / 47.42 hours on Pentium 4 3.20 GHz, 1 Gig RAM, Windows XP and Cygwin / Jan 18, 2007) 5·10153 -1 =4( 9) 153 <154> = 17 · 33872102210024327<17> · 8683182556404204167336062747655902186710139922632160127541164235580790980481733112926689278161490483633528934268472110468455427818863161 <136> 5·10154 -1 =4( 9) 154 <155> = 571 · 4549 · 394729 · 6600156768178848839<19> · 7388642841687726062777727140214781312035515139538648213156236783124120901569415373369738710314469886334325451377592665197751 <124> 5·10155 -1 =4( 9) 155 <156> = 31 · 263 · 7802657217359<13> · 73023542139226173045665561<26> · 107633419637891693872637007351985902969706385789274068012272478209234741756036503405781750665502424552630242851617 <114> 5·10156 -1 =4( 9) 156 <157> = 325933631 · 418725471349<12> · 64649255422764285424382191141<29> · 1196044320747080988848275421315051<34> · 473806101133225839977941970810800179066086580068330368731246322000830542731<75> (Tyler Cadigan / GGNFS-0.77.1-20050930-pentium4 gnfs / 27.31 hours on P4 3.2 gig, 1024 Mb RAM for P34 x P75 / Oct 12, 2005) 5·10157 -1 =4( 9) 157 <158> = 7 · 1784911 · 8397428359<10> · 154950203473026832889059234829083441818646269399640511<54> · 3075508559189988737150043030934655780723081191090507472552844326729132490697996382741663<88> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon / 36.22 hours on Cygwin on AMD XP 2700+ / Apr 16, 2007) 5·10158 -1 =4( 9) 158 <159> = 929 · 2039 · 195480696444471195235091<24> · 3914379888823857856496565940348441055481401908952110819<55> · 344961172633478712235231612125560933379158026766703661954210221883077707201<75> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona / 24.89 hours on Core 2 Quad Q6600 / Jul 22, 2007) 5·10159 -1 =4( 9) 159 <160> = 5303 · 3190556186353927<16> · 18565652713807034159<20> · 15917386355105128332287726809575610846672449603649620305544782943758902542591857243762550101306322001143522107390161938481 <122> 5·10160 -1 =4( 9) 160 <161> = 19 · 436091 · 2329189 · 1033904918067164428884577564259<31> · 6893933938446466919399636517410130127156761488611<49> · 363485282102468445025331961873781689545727542437808306501301663929371<69> (Wataru Sakai / GMP-ECM 6.0 B1=10000000, sigma=2061588207 for P31 / Mar 8, 2005) (Sinkiti Sibata / GGNFS-0.77.1-20060513-pentium4 gnfs for P49 x P69 / 101.60 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Sep 18, 2006) 5·10161 -1 =4( 9) 161 <162> = 23 · 5039 · 5503 · 121219311137<12> · 205172085665013628136788854347422145538579372307983152097920947502671<69> · 31521596990625887572504276079879084677165618298704568194646451128941172807<74> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs, Msieve 1.26 / Oct 2, 2007) 5·10162 -1 =4( 9) 162 <163> = 7898189142101<13> · 456514351349672851<18> · 7739832354657573536230860093069953953660396661<46> · 179166366257503162309509372277349334970926729613420475526494728627218732934704149702509<87> (Robert Backstrom / GGNFS-0.77.1-20050930-k8 snfs, Msieve 1.32 / Jan 14, 2008) 5·10163 -1 =4( 9) 163 <164> = 7 · 113 · 4051162866465457<16> · 922191787468962700083112302737<30> · 80377700901754687749486798145765159<35> · 10600775268809505921573949265742014977<38> · 19857261721993282761679812592330289110528447<44> (Wataru Sakai / GMP-ECM 6.0 B1=10000000, sigma=3353644342 for P35 / Mar 16, 2005) (Wataru Sakai / GMP-ECM 6.0 B1=10000000, sigma=3237705988 for P30, ppsiqs for P38 x P44 / Mar 17, 2005) 5·10164 -1 =4( 9) 164 <165> = 121229 · 93065452014541<14> · 4609272099677821<16> · 6199401341721886342501<22> · 19306339505367483920172035659730245319<38> · 80332808754804132639262177760295673590550769997275924317754987315974609<71> (Wataru Sakai / GMP-ECM 6.0 / Apr 8, 2005) 5·10165 -1 =4( 9) 165 <166> = 428440364567<12> · 4418255297469253568147847349351285035723609901981851222353873612047<67> · 2641367423527036890767831864312306241956122491114136519637229891724953923688971860336151<88> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs, Msieve 1.28 / Oct 15, 2007) 5·10166 -1 =4( 9) 166 <167> = 612 · 7951 · 18959 · 41274509 · 84427642127312153021137396271<29> · 1036244557985917323855656628571<31> · 31378746637656538548025658341102831<35> · 786699225732513079105689913385630462760166633060831769<54> (Shusuke Kubota / GMP-ECM 5.0.3 B1=250000, sigma=1074148556 for P31) (Makoto Kamada / GMP-ECM 5.0.3 B1=4000000, sigma=2124137356 for P35, msieve 0.88 for P29 x P54) 5·10167 -1 =4( 9) 167 <168> = 47 · 89 · 5322353 · 22458381991549592782890679647633496941192335844530446385788776347501741550840110197299316241862298094625585133811737525413646228785066584062270274179126162601 <158> 5·10168 -1 =4( 9) 168 <169> = 71 · 461 · 1609 · 14951 · 80777981 · 22639721157902129095414403005942496800349<41> · 457434303099638694586122437203847366912844131<45> · 7590871641081854629092704253048698545019692817001067700599918729<64> (Robert Backstrom / GGNFS-0.77.1-20060513-athlon-xp snfs, Msieve 1.36 / 55.74 hours on Cygwin on AMD 64 3200+ / Jul 18, 2008) 5·10169 -1 =4( 9) 169 <170> = 72 · 17 · 51971109847877751141565924226072367623<38> · 6247449254103117689987713647000874500741834590985633042232135777<64> · 184867374942010724757709190165050993402607186564005758034404013993<66> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon / 80.00 hours on Cygwin on AMD 64 3200+ / May 22, 2007) 5·10170 -1 =4( 9) 170 <171> = 31 · 4688909 · 5962171 · 414098898368494463344506663169333769<36> · 1393246636581073462780644946707410311348854022175587735092066569086144683145170283932792460440716222911271989247205306919 <121> (Robert Backstrom / GMP-ECM 6.2.1 B1=1114000, sigma=3235219842 for P36 / Oct 2, 2008) 5·10171 -1 =4( 9) 171 <172> = 1097 · 15569 · 218008919017<12> · 9027242246182409329<19> · 148755591678074552338521301344553612216094823722617113203733880165737743025480237399253007757569877580499575993572313758682163468875951 <135> 5·10172 -1 =4( 9) 172 <173> = 10889 · 2882359 · [1593066609570530649370271023806535039809721860723856941429268203635476830520142259302322810459745823053514922077193405530808546778438857687622783273098732367009649 <163> ] SUBMIT/RESERVE 5·10173 -1 =4( 9) 173 <174> = 127 · 3911 · 18127 · 60115481 · 23178928080286249351<20> · [39854086435296658660320043879991005179189198819489180447210923684885908343283437049105322157599299450760049515223879981997674408379558391 <137> ] SUBMIT/RESERVE 5·10174 -1 =4( 9) 174 <175> = 100836539 · 386045671789<12> · 202149331951309<15> · [635391023758808768021982182663640242957235141906592712342373275630037497448167738145615536255657952171914822743853474214435578032037202498341 <141> ] SUBMIT/RESERVE 5·10175 -1 =4( 9) 175 <176> = 7 · 107183 · 2543334728950591<16> · 1003880437516672343<19> · 6033965706180633947575226973035593<34> · 4325713036344580776461295797750335517660863417205395531955960411517789548035861791579322805691565162231 <103> (Wataru Sakai / GMP-ECM 6.0 B1=10000000, sigma=3401853249 for P34 / Apr 5, 2005) 5·10176 -1 =4( 9) 176 <177> = 48409 · 48550259 · 1685407140856189648612097538079896782968048556689<49> · 126225619910469676004414039354831078351797442441561563713439568704176968850333129983096588258532811794520832130928061 <117> (matsui / GGNFS-0.77.1-20060513-prescott snfs / 224.48 hours / May 30, 2008) 5·10177 -1 =4( 9) 177 <178> = 30973583 · 39989645019285243151<20> · [4036742139064271940352924607719840667525658401516025842099488707237906836850173332467826613777240396308955876191838587875549878107435969243156241150303 <151> ] SUBMIT/RESERVE 5·10178 -1 =4( 9) 178 <179> = 19 · 29 · 3121 · 45215056267958609<17> · 643045289414757855416211124926711766665239833362229024358393704927082787709265501601066868796983284161023741067316317462443984817217172699138594183840971241 <156> 5·10179 -1 =4( 9) 179 <180> = 100633529 · 10276894318800611063<20> · [483465413967370598400238048693329074423316487627052497512382988498499804040391586617159120691337958260268162836645299451358426769745806731188812854756737 <153> ] SUBMIT/RESERVE 5·10180 -1 =4( 9) 180 <181> = 10621939 · 371220517601500959349955067754789808321<39> · [1268043725350051353132819056594165736383974526766996545360477852847986781906687610303669898118623904197788874590155678924925008343938821 <136> ] (Wataru Sakai / GMP-ECM 6.0 B1=10000000, sigma=4237437119 for P39 / Mar 11, 2005) SUBMIT/RESERVE 5·10181 -1 =4( 9) 181 <182> = 7 · 972 · 193 · 457 · 422822039 · 5656697469953<13> · [3598606979757417997917427995706501314058534392261408149235484668120477312161588275805313695459204431109019053455906018698429200104947933380953449978919 <151> ] SUBMIT/RESERVE 5·10182 -1 =4( 9) 182 <183> = 402045318839<12> · [1243640894623190934438746047046099580565995925626298223424494127666596597171977152517694955566312383421074711557064611814787482955822661265426767631968647765171349477128441 <172> ] SUBMIT/RESERVE 5·10183 -1 =4( 9) 183 <184> = 23 · 11633 · [18687467063339300864482226350076057990947790954518442661244809556023157509184890061631266374893014251062382502550839254145814568001823896785381915764373465291767423259916504397161 <179> ] SUBMIT/RESERVE 5·10184 -1 =4( 9) 184 <185> = 151 · 1811 · 26149492819353460891<20> · 19904026613441188764553765519<29> · 351293725658528142025984363908540515455299471247490008661682391281288234075835346606964794661872221262643846492958379267355968427671 <132> (Wataru Sakai / GMP-ECM 6.0 B1=10000000, sigma=1219650535 for P29 / Mar 8, 2005) 5·10185 -1 =4( 9) 185 <186> = 17 · 31 · 87631 · 30963646453769<14> · [349662872872685415260187866710169543054711722129687259296757512768829622544293685012492705071389202665843507861957179339289258414384928449524545789244775692467713383 <165> ] SUBMIT/RESERVE 5·10186 -1 =4( 9) 186 <187> = 4409 · 4721179 · 20792509 · 34924527393985951<17> · [330782102119348939530388193055862880155585841714351736296136827358915730015531455951164152703636844000379759686471516708488800253691462627773086879742951 <153> ] SUBMIT/RESERVE 5·10187 -1 =4( 9) 187 <188> = 7 · 829170787446038508271<21> · [8614458264814342456015977257300592684235797658096258921996737600409387636961741878590975741790562058991753748125625895637125986138565131183531967010047496488728669767 <166> ] SUBMIT/RESERVE 5·10188 -1 =4( 9) 188 <189> = 251 · 3921791 · 56931191 · 6521172061<10> · 1368156911680849504233600593059771759024687800841838200499789414954100306830539820993823551578434669722369230735281546672545988514586369202111503378005917499098089 <163> 5·10189 -1 =4( 9) 189 <190> = 414457 · 548526529 · 218359541786865057171137<24> · [100721158932718319776298575351669233160027191722094687112234543178151184210485955752350121811066717644477925628133992741175240284519318820871028134069559 <153> ] SUBMIT/RESERVE 5·10190 -1 =4( 9) 190 <191> = 99540974625765465275232034702200919<35> · 502305710668196126484659145583463988849571937897513433848127456075026044866256022945692253079700553166877184985681787449184093822883155280824677517509895321 <156> (Jo Yeong Uk / GMP-ECM 6.1.2 B1=3000000, sigma=3894616504 for P35 / May 12, 2007) 5·10191 -1 =4( 9) 191 <192> = 11765209 · 3480081817753<13> · [12211834316200815636021118783914255162565209493020365130222361754575910252737548793500886622247522505104519581662331443639494381467615771141848827141290725194325351887328687 <173> ] SUBMIT/RESERVE 5·10192 -1 =4( 9) 192 <193> = 72560301641228201<17> · 68908203065669709860463879359910395252682671905169603284513010578443315246043750346398006233271822191756386346690807589820929022083022657541265004710710306522773447649333988199 <176> 5·10193 -1 =4( 9) 193 <194> = 7 · 8839 · [808106928708806749309068575953970229340746367559355453913661855736751086903819113345077820697234658089958463303864367333085513875195965930211885636707449129668837780615130994133143697574063 <189> ] SUBMIT/RESERVE 5·10194 -1 =4( 9) 194 <195> = 2063673432680440504344308255721789938709506185655504408686729651476059482949<76> · 242286396714700023343462981244314581366417767442682354276028410445885393174798778445278457127741012032445076995991310451 <120> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 2170.77 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Sep 20, 2007) 5·10195 -1 =4( 9) 195 <196> = 199 · 763037308894072031327<21> · 32928439865044083099237880745307554207094208046670251449773784849353921824251947711262778330304269115848753348658742636216921378609898406441929321575786489924920023751315863 <173> 5·10196 -1 =4( 9) 196 <197> = 19 · 16981 · 49811 · 1697118101741918215208512034099<31> · 1833225185034239750757162601262933487008785125955739998834505594511896594577580588571645784267706977995671427911855205353218635320637341730698774065206061769 <157> (Wataru Sakai / GMP-ECM 6.0 B1=10000000, sigma=2499077748 for P31 / Apr 17, 2005) 5·10197 -1 =4( 9) 197 <198> = 6526969 · [76605235906590026703053132319151508150260863809832711017931906831486406630704083319531623330829363522333260660499536614928001036928473231602601452527199072034814321931052529895576338726290871 <191> ] SUBMIT/RESERVE 5·10198 -1 =4( 9) 198 <199> = 59 · 719 · 2081 · 3001 · 94111 · 2003879 · 397770851 · [251597423876843011518973530895077182565833799044399744610930536140919317753115715616833974176319266970113622179606125065313919783575938444925062792463055673711314473521 <168> ] SUBMIT/RESERVE 5·10199 -1 =4( 9) 199 <200> = 7 · 233 · 29033 · 110474303778793<15> · [9557908220897645269387286854345517770093707575325287236420262235191730767688983930835321863692114212272671692252102550740452830644042128960613717269023912901214844723199991756241 <178> ] SUBMIT/RESERVE 5·10200 -1 =4( 9) 200 <201> = 31 · 109 · 27509 · 25738900941728998684305569489<29> · 208985912004232692112989418962913512143454946422920593821299571281505741429255867900662632079343171630051175697271076302567705286976144762874932292328157121848234881 <165> (Wataru Sakai / GMP-ECM 6.0 B1=10000000, sigma=247942321 for P29 / Mar 28, 2005)