Status of Wagstaff testing? and testing Mersenne primes for Wagstaff-ness - Page 18

axn · 2018-10-19, 04:16

Quote:

Originally Posted by GP2

It's quite simple really. Just uncomment the line #define WAGSTAFF in the params.h file, and then compile mfaktc in the usual way.

Cool. Let me try that out.

Quote:

Originally Posted by GP2

The worktodo lines are exactly the same, it's the executable that reads them which is different.

Yes, but I will still need a list of unfactored exponents and the bit levels. Do you have that handy at your site (haven't downloaded any files yet).

axn · 2018-10-19, 11:39

29000-31000

Code:

2^29017+1 has a factor: 10985215274787989112855073 (ECM curve 192, B1=250000, B2=25000000)
2^29017+1 has a factor: 5983695326673366064937939 (ECM curve 21, B1=250000, B2=25000000)
2^29023+1 has a factor: 35846157014736381683 (ECM curve 1, B1=250000, B2=25000000)
2^29023+1 has a factor: 4578787486147652969 (ECM curve 6, B1=250000, B2=25000000)
2^29027+1 has a factor: 275322488297 (ECM curve 1, B1=250000, B2=25000000)
2^29059+1 has a factor: 299447655126598977294353329 (ECM curve 104, B1=250000, B2=25000000)
2^29077+1 has a factor: 135404152544693679091 (ECM curve 5, B1=250000, B2=25000000)
2^29101+1 has a factor: 16766968794294002128012409 (ECM curve 28, B1=250000, B2=25000000)
2^29101+1 has a factor: 3237163110420283873 (ECM curve 15, B1=250000, B2=25000000)
2^29129+1 has a factor: 397023395314465007305145041 (ECM curve 153, B1=250000, B2=25000000)
2^29131+1 has a factor: 27660723419518695971539 (ECM curve 31, B1=250000, B2=25000000)
2^29147+1 has a factor: 168474526268598481261898411 (ECM curve 95, B1=250000, B2=25000000)
2^29147+1 has a factor: 333612445869769803619891 (ECM curve 83, B1=250000, B2=25000000)
2^29153+1 has a factor: 2837799453631615157449 (ECM curve 4, B1=250000, B2=25000000)
2^29167+1 has a factor: 81476296422691496827 (ECM curve 7, B1=250000, B2=25000000)
2^29207+1 has a factor: 194309340739603939417578628987 (ECM curve 81, B1=250000, B2=25000000)
2^29207+1 has a factor: 20015596640845499 (ECM curve 14, B1=250000, B2=25000000)
2^29209+1 has a factor: 193874679083 (ECM curve 1, B1=250000, B2=25000000)
2^29209+1 has a factor: 385264283146979728889 (ECM curve 3, B1=250000, B2=25000000)
2^29209+1 has a factor: 93880926686292931 (ECM curve 1, B1=250000, B2=25000000)
2^29243+1 has a factor: 45000473579 (ECM curve 1, B1=250000, B2=25000000)
2^29251+1 has a factor: 1319699822839113600611 (ECM curve 19, B1=250000, B2=25000000)
2^29287+1 has a factor: 2201930864186899619 (ECM curve 2, B1=250000, B2=25000000)
2^29297+1 has a factor: 10575333271053659 (ECM curve 1, B1=250000, B2=25000000)
2^29297+1 has a factor: 551594887191947 (ECM curve 1, B1=250000, B2=25000000)
2^29297+1 has a factor: 6124608939120889539384292001 (ECM curve 439, B1=250000, B2=25000000)
2^29303+1 has a factor: 14621525931673796670835123 (ECM curve 16, B1=250000, B2=25000000)
2^29347+1 has a factor: 56809139688120287737 (ECM curve 20, B1=250000, B2=25000000)
2^29363+1 has a factor: 54493251669377 (ECM curve 1, B1=250000, B2=25000000)
2^29401+1 has a factor: 19087949187259423702749593 (ECM curve 52, B1=250000, B2=25000000)
2^29423+1 has a factor: 15849379386299 (ECM curve 4, B1=250000, B2=25000000)
2^29423+1 has a factor: 29890768207459 (ECM curve 1, B1=250000, B2=25000000)
2^29437+1 has a factor: 24192412837755888627020059 (ECM curve 390, B1=250000, B2=25000000)
2^29453+1 has a factor: 43960596434043613913 (ECM curve 9, B1=250000, B2=25000000)
2^29473+1 has a factor: 1402827858578633009 (ECM curve 4, B1=250000, B2=25000000)
2^29501+1 has a factor: 127383181321219667 (ECM curve 9, B1=250000, B2=25000000)
2^29501+1 has a factor: 219432943723714144993536403 (ECM curve 155, B1=250000, B2=25000000)
2^29537+1 has a factor: 633009030520394393 (ECM curve 2, B1=250000, B2=25000000)
2^29569+1 has a factor: 442962880300393 (ECM curve 1, B1=250000, B2=25000000)
2^29569+1 has a factor: 6754969324047381395176441 (ECM curve 37, B1=250000, B2=25000000)
2^29573+1 has a factor: 143336431975731913 (ECM curve 4, B1=250000, B2=25000000)
2^29629+1 has a factor: 1043355902291 (ECM curve 3, B1=250000, B2=25000000)
2^29629+1 has a factor: 11235677803531657805802059 (ECM curve 82, B1=250000, B2=25000000)
2^29629+1 has a factor: 93323431709009 (ECM curve 2, B1=250000, B2=25000000)
2^29633+1 has a factor: 284039485439214183739843 (ECM curve 34, B1=250000, B2=25000000)
2^29641+1 has a factor: 4346563900126844270041 (ECM curve 2, B1=250000, B2=25000000)
2^29641+1 has a factor: 49479025072103267772889 (ECM curve 58, B1=250000, B2=25000000)
2^29663+1 has a factor: 8155912993235371563955498777 (ECM curve 150, B1=250000, B2=25000000)
2^29671+1 has a factor: 166668268013508464258664299 (ECM curve 1, B1=250000, B2=25000000)
2^29683+1 has a factor: 384654752626387 (ECM curve 3, B1=250000, B2=25000000)
2^29717+1 has a factor: 2138401518313953721 (ECM curve 7, B1=250000, B2=25000000)
2^29723+1 has a factor: 153146780613597142093910202499 (ECM curve 275, B1=250000, B2=25000000)
2^29759+1 has a factor: 3164814707948273197677811177 (ECM curve 26, B1=250000, B2=25000000)
2^29761+1 has a factor: 6104392593146239963 (ECM curve 4, B1=250000, B2=25000000)
2^29789+1 has a factor: 10032848337661364958619 (ECM curve 23, B1=250000, B2=25000000)
2^29789+1 has a factor: 2232589416868335641 (ECM curve 8, B1=250000, B2=25000000)
2^29803+1 has a factor: 4972606821805097 (ECM curve 2, B1=250000, B2=25000000)
2^29851+1 has a factor: 1044882388469587 (ECM curve 3, B1=250000, B2=25000000)
2^29873+1 has a factor: 1046109867030087146080697 (ECM curve 8, B1=250000, B2=25000000)
2^29879+1 has a factor: 312941192364808990753 (ECM curve 7, B1=250000, B2=25000000)
2^29881+1 has a factor: 30981855692402526925451 (ECM curve 20, B1=250000, B2=25000000)
2^29881+1 has a factor: 6568941090083 (ECM curve 2, B1=250000, B2=25000000)
2^29917+1 has a factor: 1759474651844633 (ECM curve 1, B1=250000, B2=25000000)
2^29921+1 has a factor: 301787121641587 (ECM curve 4, B1=250000, B2=25000000)
2^29927+1 has a factor: 5015832812973114642002833 (ECM curve 87, B1=250000, B2=25000000)
2^29947+1 has a factor: 235838406563676420269206526627 (ECM curve 541, B1=250000, B2=25000000)
2^29959+1 has a factor: 7665172168273 (ECM curve 1, B1=250000, B2=25000000)
2^29983+1 has a factor: 1108738617753121 (ECM curve 3, B1=250000, B2=25000000)
2^29983+1 has a factor: 32349226737465996041 (ECM curve 1, B1=250000, B2=25000000)
2^29989+1 has a factor: 8759572996859921 (ECM curve 2, B1=250000, B2=25000000)
2^30011+1 has a factor: 176087176539599161 (ECM curve 17, B1=250000, B2=25000000)
2^30011+1 has a factor: 347846697041 (ECM curve 1, B1=250000, B2=25000000)
2^30013+1 has a factor: 14815571496036431218644851 (ECM curve 1, B1=250000, B2=25000000)
2^30029+1 has a factor: 123981701998930379 (ECM curve 2, B1=250000, B2=25000000)
2^30029+1 has a factor: 1941934401862472333094699979609 (ECM curve 237, B1=250000, B2=25000000)
2^30029+1 has a factor: 4261021138539264929 (ECM curve 6, B1=250000, B2=25000000)
2^30047+1 has a factor: 388682191667027 (ECM curve 4, B1=250000, B2=25000000)
2^30071+1 has a factor: 139431005599134140916587 (ECM curve 9, B1=250000, B2=25000000)
2^30089+1 has a factor: 76249383316898708051 (ECM curve 14, B1=250000, B2=25000000)
2^30097+1 has a factor: 6359957879959193700721 (ECM curve 19, B1=250000, B2=25000000)
2^30103+1 has a factor: 1800535266059 (ECM curve 2, B1=250000, B2=25000000)
2^30109+1 has a factor: 3517289842387 (ECM curve 2, B1=250000, B2=25000000)
2^30133+1 has a factor: 1199773708095109623368356339 (ECM curve 180, B1=250000, B2=25000000)
2^30137+1 has a factor: 38226452096017290827 (ECM curve 8, B1=250000, B2=25000000)
2^30139+1 has a factor: 360129645163 (ECM curve 1, B1=250000, B2=25000000)
2^30161+1 has a factor: 184411652963 (ECM curve 3, B1=250000, B2=25000000)
2^30181+1 has a factor: 11116835339793429962679632718209 (ECM curve 141, B1=250000, B2=25000000)
2^30181+1 has a factor: 2394746756771 (ECM curve 2, B1=250000, B2=25000000)
2^30187+1 has a factor: 6236810278572209861721306706107468361 (ECM curve 157, B1=250000, B2=25000000)
2^30203+1 has a factor: 136464526596172583161294046779 (ECM curve 69, B1=250000, B2=25000000)
2^30211+1 has a factor: 35203736505467 (ECM curve 1, B1=250000, B2=25000000)
2^30223+1 has a factor: 1094837380410697606621553 (ECM curve 43, B1=250000, B2=25000000)
2^30223+1 has a factor: 167371242193779202739734802177 (ECM curve 161, B1=250000, B2=25000000)
2^30223+1 has a factor: 1868193909403599851 (ECM curve 7, B1=250000, B2=25000000)
2^30241+1 has a factor: 23673100223152727690753 (ECM curve 13, B1=250000, B2=25000000)
2^30241+1 has a factor: 92764836558705398769142067 (ECM curve 54, B1=250000, B2=25000000)
2^30259+1 has a factor: 310897388588107 (ECM curve 5, B1=250000, B2=25000000)
2^30269+1 has a factor: 16703004363834641 (ECM curve 1, B1=250000, B2=25000000)
2^30269+1 has a factor: 563880347716891 (ECM curve 3, B1=250000, B2=25000000)
2^30313+1 has a factor: 153765570531383394448927033 (ECM curve 110, B1=250000, B2=25000000)
2^30431+1 has a factor: 11328270324497815441699 (ECM curve 2, B1=250000, B2=25000000)
2^30449+1 has a factor: 3533517067317910363 (ECM curve 4, B1=250000, B2=25000000)
2^30467+1 has a factor: 73242350124992002963291 (ECM curve 34, B1=250000, B2=25000000)
2^30469+1 has a factor: 313014472178604693639859 (ECM curve 131, B1=250000, B2=25000000)
2^30469+1 has a factor: 379626982051 (ECM curve 1, B1=250000, B2=25000000)
2^30469+1 has a factor: 606594177406443051728600331649 (ECM curve 227, B1=250000, B2=25000000)
2^30493+1 has a factor: 6140199770321 (ECM curve 1, B1=250000, B2=25000000)
2^30497+1 has a factor: 12428837124454681243 (ECM curve 1, B1=250000, B2=25000000)
2^30497+1 has a factor: 661977590597963 (ECM curve 2, B1=250000, B2=25000000)
2^30497+1 has a factor: 991525439898235579 (ECM curve 7, B1=250000, B2=25000000)
2^30529+1 has a factor: 929521379383607499673 (ECM curve 15, B1=250000, B2=25000000)
2^30539+1 has a factor: 726084974796392776129 (ECM curve 30, B1=250000, B2=25000000)
2^30577+1 has a factor: 287963594616870739755004651 (ECM curve 273, B1=250000, B2=25000000)
2^30593+1 has a factor: 647558089145304193 (ECM curve 1, B1=250000, B2=25000000)
2^30649+1 has a factor: 266269598124070300079466067 (ECM curve 78, B1=250000, B2=25000000)
2^30661+1 has a factor: 522848848771 (ECM curve 1, B1=250000, B2=25000000)
2^30677+1 has a factor: 17788006799462055467 (ECM curve 3, B1=250000, B2=25000000)
2^30689+1 has a factor: 4014428151379 (ECM curve 1, B1=250000, B2=25000000)
2^30697+1 has a factor: 1220302308265648721 (ECM curve 6, B1=250000, B2=25000000)
2^30697+1 has a factor: 1589838835081912191531601961 (ECM curve 1, B1=250000, B2=25000000)
2^30697+1 has a factor: 94033635087401 (ECM curve 2, B1=250000, B2=25000000)
2^30707+1 has a factor: 12244476466856899 (ECM curve 1, B1=250000, B2=25000000)
2^30707+1 has a factor: 378815752657231179780397141121 (ECM curve 324, B1=250000, B2=25000000)
2^30707+1 has a factor: 49273081396686139 (ECM curve 3, B1=250000, B2=25000000)
2^30707+1 has a factor: 87796717433 (ECM curve 1, B1=250000, B2=25000000)
2^30757+1 has a factor: 2067430104075313 (ECM curve 2, B1=250000, B2=25000000)
2^30763+1 has a factor: 39654865186451 (ECM curve 6, B1=250000, B2=25000000)
2^30773+1 has a factor: 7647424797898886253016566573949441 (ECM curve 535, B1=250000, B2=25000000)
2^30781+1 has a factor: 60270223835066651948102849 (ECM curve 82, B1=250000, B2=25000000)
2^30809+1 has a factor: 2773572678273833 (ECM curve 1, B1=250000, B2=25000000)
2^30809+1 has a factor: 61535324045850427 (ECM curve 1, B1=250000, B2=25000000)
2^30839+1 has a factor: 127989068865503807343464009 (ECM curve 32, B1=250000, B2=25000000)
2^30841+1 has a factor: 2087962099897 (ECM curve 2, B1=250000, B2=25000000)
2^30851+1 has a factor: 233147362307 (ECM curve 2, B1=250000, B2=25000000)
2^30851+1 has a factor: 24678181305419 (ECM curve 3, B1=250000, B2=25000000)
2^30859+1 has a factor: 5863348236114644762512763 (ECM curve 105, B1=250000, B2=25000000)
2^30869+1 has a factor: 1555227834179033387 (ECM curve 4, B1=250000, B2=25000000)
2^30869+1 has a factor: 7054864973617 (ECM curve 3, B1=250000, B2=25000000)
2^30911+1 has a factor: 119605419455551563841834379 (ECM curve 389, B1=250000, B2=25000000)
2^30931+1 has a factor: 1612632600033971598883 (ECM curve 79, B1=250000, B2=25000000)
2^30941+1 has a factor: 6904570545676896776397035131 (ECM curve 173, B1=250000, B2=25000000)
2^30941+1 has a factor: 842125849914462691104179 (ECM curve 72, B1=250000, B2=25000000)
2^30949+1 has a factor: 691844779651707379 (ECM curve 4, B1=250000, B2=25000000)
2^30971+1 has a factor: 70988584133311423834721209 (ECM curve 51, B1=250000, B2=25000000)
2^30977+1 has a factor: 55999218230796859867 (ECM curve 45, B1=250000, B2=25000000)
2^30983+1 has a factor: 1120910642269740010644817 (ECM curve 36, B1=250000, B2=25000000)
2^30983+1 has a factor: 1194891090520657056713 (ECM curve 61, B1=250000, B2=25000000)
2^30983+1 has a factor: 151475589627644641 (ECM curve 3, B1=250000, B2=25000000)

pinhodecarlos · 2018-10-20, 07:24

I’m holding my range for a week since I’m supporting our friends at SETI.USA on the WCG challenge.

pinhodecarlos · 2018-10-24, 17:58

24500-25500

Code:

2^24509+1 has a factor: 26797559542833811 (ECM curve 1, B1=250000, B2=25000000)
2^24509+1 has a factor: 26797559542833811 (ECM curve 550, B1=250000, B2=25000000)
2^24533+1 has a factor: 2894863821289009873 (ECM curve 7, B1=250000, B2=25000000)
2^24551+1 has a factor: 1208336817408799717197409 (ECM curve 8, B1=250000, B2=25000000)
2^24551+1 has a factor: 48890471181861331193659963 (ECM curve 14, B1=250000, B2=25000000)
2^24551+1 has a factor: 525113083901606204929 (ECM curve 28, B1=250000, B2=25000000)
2^24571+1 has a factor: 466211570336392717642739 (ECM curve 12, B1=250000, B2=25000000)
2^24631+1 has a factor: 17773429471792549703818339 (ECM curve 65, B1=250000, B2=25000000)
2^24659+1 has a factor: 671931499323047842556281 (ECM curve 59, B1=250000, B2=25000000)
2^24691+1 has a factor: 25353368670308820491572378017173491 (ECM curve 400, B1=250000, B2=25000000)
2^24733+1 has a factor: 46168744553355525980338099 (ECM curve 105, B1=250000, B2=25000000)
2^24763+1 has a factor: 5890872034993577 (ECM curve 5, B1=250000, B2=25000000)
2^24767+1 has a factor: 126602987828198606780291 (ECM curve 358, B1=250000, B2=25000000)
2^24767+1 has a factor: 126602987828198606780291 (ECM curve 49, B1=250000, B2=25000000)
2^24793+1 has a factor: 180889058458078202136383707 (ECM curve 86, B1=250000, B2=25000000)
2^24793+1 has a factor: 6986615042857255363937387 (ECM curve 35, B1=250000, B2=25000000)
2^24821+1 has a factor: 2956786439868615955907753 (ECM curve 90, B1=250000, B2=25000000)
2^24847+1 has a factor: 42381098529053649689 (ECM curve 7, B1=250000, B2=25000000)
2^24877+1 has a factor: 36632516057397937902407627251 (ECM curve 302, B1=250000, B2=25000000)
2^24877+1 has a factor: 681084159662746149521 (ECM curve 10, B1=250000, B2=25000000)
2^24877+1 has a factor: 681084159662746149521 (ECM curve 183, B1=250000, B2=25000000)
2^24917+1 has a factor: 21049725597919370836241 (ECM curve 17, B1=250000, B2=25000000)
2^24917+1 has a factor: 21049725597919370836241 (ECM curve 24, B1=250000, B2=25000000)
2^24917+1 has a factor: 646428497909027 (ECM curve 39, B1=250000, B2=25000000)
2^24917+1 has a factor: 646428497909027 (ECM curve 5, B1=250000, B2=25000000)
2^24917+1 has a factor: 652325967318886619722719008137 (ECM curve 276, B1=250000, B2=25000000)
2^24943+1 has a factor: 1347435562899333307 (ECM curve 3, B1=250000, B2=25000000)
2^24953+1 has a factor: 437322164177621915948083 (ECM curve 29, B1=250000, B2=25000000)
2^24977+1 has a factor: 11383554993492641 (ECM curve 1, B1=250000, B2=25000000)
2^24977+1 has a factor: 22510867550389382859923 (ECM curve 1, B1=250000, B2=25000000)
2^24977+1 has a factor: 290398675538456574137512147 (ECM curve 158, B1=250000, B2=25000000)
2^24977+1 has a factor: 55393285958785118466211 (ECM curve 9, B1=250000, B2=25000000)
2^24979+1 has a factor: 10986809760900681009043544953 (ECM curve 206, B1=250000, B2=25000000)
2^25031+1 has a factor: 5929731377757247103689181587 (ECM curve 107, B1=250000, B2=25000000)
2^25057+1 has a factor: 1063592881626649675346933789991107 (ECM curve 188, B1=250000, B2=25000000)
2^25087+1 has a factor: 6535100043369017938551836057 (ECM curve 321, B1=250000, B2=25000000)
2^25097+1 has a factor: 21163232977706224663046809 (ECM curve 231, B1=250000, B2=25000000)
2^25097+1 has a factor: 38470618570424783075891 (ECM curve 4, B1=250000, B2=25000000)
2^25111+1 has a factor: 16816126727551514688707 (ECM curve 18, B1=250000, B2=25000000)
2^25111+1 has a factor: 413707264154384401 (ECM curve 14, B1=250000, B2=25000000)
2^25127+1 has a factor: 6223817007035115525883 (ECM curve 29, B1=250000, B2=25000000)
2^25147+1 has a factor: 1988259831963861516677826091 (ECM curve 153, B1=250000, B2=25000000)
2^25147+1 has a factor: 1988259831963861516677826091 (ECM curve 60, B1=250000, B2=25000000)
2^25147+1 has a factor: 545281377647692979353 (ECM curve 240, B1=250000, B2=25000000)
2^25147+1 has a factor: 545281377647692979353 (ECM curve 56, B1=250000, B2=25000000)
2^25147+1 has a factor: 74846472619123942901102203 (ECM curve 26, B1=250000, B2=25000000)
2^25147+1 has a factor: 74846472619123942901102203 (ECM curve 38, B1=250000, B2=25000000)
2^25163+1 has a factor: 28330515908614135044966227 (ECM curve 114, B1=250000, B2=25000000)
2^25183+1 has a factor: 3446212846301527715145210017851 (ECM curve 216, B1=250000, B2=25000000)
2^25219+1 has a factor: 3902995937050342866347 (ECM curve 8, B1=250000, B2=25000000)
2^25229+1 has a factor: 3867324127268513322670219 (ECM curve 142, B1=250000, B2=25000000)
2^25243+1 has a factor: 332006730590741465387 (ECM curve 4, B1=250000, B2=25000000)
2^25243+1 has a factor: 43059539888548740629899 (ECM curve 2, B1=250000, B2=25000000)
2^25261+1 has a factor: 192442687366658465777 (ECM curve 7, B1=250000, B2=25000000)
2^25307+1 has a factor: 1522507359532596056041 (ECM curve 24, B1=250000, B2=25000000)
2^25309+1 has a factor: 343004287412011924078504643 (ECM curve 70, B1=250000, B2=25000000)
2^25357+1 has a factor: 104863969894610707281492361 (ECM curve 310, B1=250000, B2=25000000)
2^25357+1 has a factor: 191194811605841346747667 (ECM curve 9, B1=250000, B2=25000000)
2^25357+1 has a factor: 644305425688062496290790783691 (ECM curve 85, B1=250000, B2=25000000)
2^25409+1 has a factor: 157426946288271570497 (ECM curve 6, B1=250000, B2=25000000)
2^25409+1 has a factor: 369040328339497275737 (ECM curve 3, B1=250000, B2=25000000)
2^25463+1 has a factor: 6372355641402709002043 (ECM curve 101, B1=250000, B2=25000000)
2^25463+1 has a factor: 6372355641402709002043 (ECM curve 178, B1=250000, B2=25000000)
2^25471+1 has a factor: 14384278291957051 (ECM curve 1, B1=250000, B2=25000000)
2^25471+1 has a factor: 3666847186689120301712921 (ECM curve 9, B1=250000, B2=25000000)
2^25471+1 has a factor: 405802553520011 (ECM curve 3, B1=250000, B2=25000000)
2^25471+1 has a factor: 8999094604678771990891909112587 (ECM curve 346, B1=250000, B2=25000000)

DukeBG · 2018-10-26, 16:58

Not sure 100% if it's a relevant information for this thread, but 2^1823+1 and 2^1871+1 have had a P39 and P40 factors added correspondingly yesterday/today by someone. The remaining cofactors are still composite.

GP2 · 2018-10-26, 17:20

Quote:

Originally Posted by DukeBG

Not sure 100% if it's a relevant information for this thread, but 2^1823+1 and 2^1871+1 have had a P39 and P40 factors added correspondingly yesterday/today by someone. The remaining cofactors are still composite.

1823 and 1871 are both prime exponents, so their factors are indeed relevant. I'll update my list later today.

axn · 2018-11-07, 16:14

Code:

ECM found a factor in curve #14, stage #1
Sigma=3937044388854715, B1=250000, B2=25000000.
2^31601+1 has a factor: 495086555885477107 (ECM curve 14, B1=250000, B2=25000000)
Cofactor is a probable prime!

So, (2^31601+1)/3 = 495086555885477107 · PRP9495

paulunderwood · 2018-11-07, 16:32

Quote:

Originally Posted by axn

Code:

ECM found a factor in curve #14, stage #1
Sigma=3937044388854715, B1=250000, B2=25000000.
2^31601+1 has a factor: 495086555885477107 (ECM curve 14, B1=250000, B2=25000000)
Cofactor is a probable prime!

So, (2^31601+1)/3 = 495086555885477107 · PRP9495

Congrats

Code:

time ./pfgw64 -k -f0 -od -q"(2^31601+1)/3/495086555885477107" | ../../coding/gwnum/hybrid - 1 2 31601 1
                                           
Testing (x + 2)^(n + 1) == 7 (mod n, x^2 - x + 1)...
Likely prime!

real	0m1.267s
user	0m1.684s
sys	0m0.016s

axn · 2018-11-10, 04:35

Code:

ECM found a factor in curve #211, stage #1
Sigma=7792377356163294, B1=250000, B2=25000000.
2^32377+1 has a factor: 1096170423492101317447441 (ECM curve 211, B1=250000, B2=25000000)
Cofactor is a probable prime!

So, (2^32377+1)/3 = 1295081 · 568345859 · 1096170423492101317447441 · PRP9708

paulunderwood · 2018-11-10, 08:01

Quote:

Originally Posted by axn

Code:

ECM found a factor in curve #211, stage #1
Sigma=7792377356163294, B1=250000, B2=25000000.
2^32377+1 has a factor: 1096170423492101317447441 (ECM curve 211, B1=250000, B2=25000000)
Cofactor is a probable prime!

So, (2^32377+1)/3 = 1295081 · 568345859 · 1096170423492101317447441 · PRP9708

Congrats again!

Code:

time ./pfgw64 -k -f0 -od -q"(2^32377+1)/3/1295081/568345859/1096170423492101317447441" | ../../coding/gwnum/hybrid - 1 2 32377 1
                                               
Testing (x + 1)^(n + 1) == 2 + 9 (mod n, x^2 - 9*x + 1)...
Likely prime!

real	0m1.517s
user	0m1.720s
sys	0m0.016s

GP2 · 2018-11-10, 12:12

Quote:

Originally Posted by axn

So, (2^32377+1)/3 = 1295081 · 568345859 · 1096170423492101317447441 · PRP9708

Remarkably close to the (long-ago-discovered) PRP:

(2^32369+1)/3 = 975213233 · P9735

2018-10-20, 07:24	#190
pinhodecarlos "Carlos Pinho" Oct 2011 Milton Keynes, UK 3·17·97 Posts	I’m holding my range for a week since I’m supporting our friends at SETI.USA on the WCG challenge. Last fiddled with by pinhodecarlos on 2018-10-20 at 07:32

2018-10-26, 16:58	#192
DukeBG Mar 2018 10000001₂ Posts	Not sure 100% if it's a relevant information for this thread, but 2^1823+1 and 2^1871+1 have had a P39 and P40 factors added correspondingly yesterday/today by someone. The remaining cofactors are still composite. Last fiddled with by DukeBG on 2018-10-26 at 16:58

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