[QUOTE=GP2;497818]If you go to FactorDB.com, then click on "Report results", then click on "Report factors", then you can just enter a bunch of lines of the form:

2^19507+1=1234449887923479271291136873
2^19507+1=844428452139314289368892697
etc.

In other words, the same as your "has a factor" lines, except slightly transformed. If you know how to use a Linux utility like [c]sed[/c] it is fairly straightforward.[/QUOTE]

I thought the report system would parse the results as I’ve posted before but I’ll then clean it using excel later on. Thank you a bunch!

[QUOTE=pinhodecarlos;497838]I thought the report system would parse the results as I’ve posted before but I’ll then clean it using excel later on. Thank you a bunch![/QUOTE]

I went ahead and posted these factors to FactorDB myself. But the syntax will be useful for future reference.

PS, if you are posting Mersenne factors then you can just say M...=... instead of 2^...-1=... However this is usually unnecessary, since someone else will usually update FactorDB within a few days or weeks.

[QUOTE=pinhodecarlos;497063]2^19379+1 has a factor: 50661292745468868151307 (ECM curve 10, B1=250000, B2=25000000)
Cofactor is a probable prime!


[URL="http://factordb.com/index.php?query=2%5E19379%2B1"]http://factordb.com/index.php?query=2%5E19379%2B1[/URL]


P5804 [URL]http://factordb.com/index.php?id=1100000001172464482[/URL][/QUOTE]
This is now proven.

27000-29000
[CODE]2^27011+1 has a factor: 1903610316960942888315574129 (ECM curve 531, B1=250000, B2=25000000)
2^27011+1 has a factor: 23189246887553 (ECM curve 1, B1=250000, B2=25000000)
2^27011+1 has a factor: 4961116988666973054144899 (ECM curve 37, B1=250000, B2=25000000)
2^27043+1 has a factor: 14547281094122942731 (ECM curve 5, B1=250000, B2=25000000)
2^27059+1 has a factor: 26147954349391574521793 (ECM curve 104, B1=250000, B2=25000000)
2^27061+1 has a factor: 138426756961 (ECM curve 1, B1=250000, B2=25000000)
2^27061+1 has a factor: 20928339648263616433 (ECM curve 23, B1=250000, B2=25000000)
2^27073+1 has a factor: 126372628003247488843 (ECM curve 12, B1=250000, B2=25000000)
2^27077+1 has a factor: 2260303682609784593215755815387 (ECM curve 366, B1=250000, B2=25000000)
2^27077+1 has a factor: 24469799483244094937 (ECM curve 1, B1=250000, B2=25000000)
2^27107+1 has a factor: 3036937637045116032691 (ECM curve 5, B1=250000, B2=25000000)
2^27109+1 has a factor: 54869629613655555850175129657 (ECM curve 266, B1=250000, B2=25000000)
2^27109+1 has a factor: 6712915474051870954508633 (ECM curve 58, B1=250000, B2=25000000)
2^27109+1 has a factor: 934213997973975217 (ECM curve 4, B1=250000, B2=25000000)
2^27143+1 has a factor: 662740164267009584908661659 (ECM curve 178, B1=250000, B2=25000000)
2^27191+1 has a factor: 1045061363950639624251508091 (ECM curve 558, B1=250000, B2=25000000)
2^27191+1 has a factor: 866859227592628852331 (ECM curve 6, B1=250000, B2=25000000)
2^27197+1 has a factor: 6819701890455145634295687611 (ECM curve 1, B1=250000, B2=25000000)
2^27253+1 has a factor: 185212774325127395129 (ECM curve 1, B1=250000, B2=25000000)
2^27259+1 has a factor: 1795652823841 (ECM curve 1, B1=250000, B2=25000000)
2^27271+1 has a factor: 44842622438071273481 (ECM curve 9, B1=250000, B2=25000000)
2^27361+1 has a factor: 881944612927159720925547019 (ECM curve 73, B1=250000, B2=25000000)
2^27367+1 has a factor: 2085299627902245649633 (ECM curve 13, B1=250000, B2=25000000)
2^27407+1 has a factor: 1800642347001051787 (ECM curve 2, B1=250000, B2=25000000)
2^27427+1 has a factor: 1050861838601785907387 (ECM curve 8, B1=250000, B2=25000000)
2^27427+1 has a factor: 17095595924747909635897 (ECM curve 10, B1=250000, B2=25000000)
2^27427+1 has a factor: 498503497697 (ECM curve 1, B1=250000, B2=25000000)
2^27431+1 has a factor: 29310078777389728441526603 (ECM curve 45, B1=250000, B2=25000000)
2^27431+1 has a factor: 75423037225043 (ECM curve 5, B1=250000, B2=25000000)
2^27431+1 has a factor: 804542094697685291 (ECM curve 11, B1=250000, B2=25000000)
2^27457+1 has a factor: 1088214604336430953 (ECM curve 3, B1=250000, B2=25000000)
2^27481+1 has a factor: 1398692771608047067081 (ECM curve 14, B1=250000, B2=25000000)
2^27481+1 has a factor: 23707670320131450041 (ECM curve 1, B1=250000, B2=25000000)
2^27481+1 has a factor: 23910096812525347427 (ECM curve 5, B1=250000, B2=25000000)
2^27481+1 has a factor: 337044381648184876048867507 (ECM curve 1, B1=250000, B2=25000000) composite
2^27481+1 has a factor: 6453723112305155576786085523969 (ECM curve 310, B1=250000, B2=25000000)
2^27487+1 has a factor: 1627482256972515899 (ECM curve 32, B1=250000, B2=25000000)
2^27487+1 has a factor: 37831128560611 (ECM curve 2, B1=250000, B2=25000000)
2^27509+1 has a factor: 103813824569634556922252584483 (ECM curve 533, B1=250000, B2=25000000)
2^27529+1 has a factor: 1423023341969 (ECM curve 2, B1=250000, B2=25000000)
2^27539+1 has a factor: 22840475520031822108679579 (ECM curve 348, B1=250000, B2=25000000)
2^27539+1 has a factor: 49583910870484418009 (ECM curve 1, B1=250000, B2=25000000)
2^27539+1 has a factor: 71505509951698723597932707 (ECM curve 6, B1=250000, B2=25000000)
2^27551+1 has a factor: 6187201551503963662159217 (ECM curve 91, B1=250000, B2=25000000)
2^27551+1 has a factor: 747966732595057 (ECM curve 1, B1=250000, B2=25000000)
2^27581+1 has a factor: 38185727611132421311159200811 (ECM curve 291, B1=250000, B2=25000000)
2^27583+1 has a factor: 1484725428766700843 (ECM curve 6, B1=250000, B2=25000000)
2^27611+1 has a factor: 58899530714960493528587657 (ECM curve 155, B1=250000, B2=25000000)
2^27617+1 has a factor: 114926665638273097670441 (ECM curve 75, B1=250000, B2=25000000)
2^27617+1 has a factor: 160716057696888648262742809 (ECM curve 14, B1=250000, B2=25000000)
2^27617+1 has a factor: 243492019049 (ECM curve 8, B1=250000, B2=25000000)
2^27617+1 has a factor: 3017741633758590659 (ECM curve 1, B1=250000, B2=25000000)
2^27647+1 has a factor: 16183901140959300453713 (ECM curve 4, B1=250000, B2=25000000)
2^27647+1 has a factor: 20232987275960190387815395283 (ECM curve 171, B1=250000, B2=25000000)
2^27647+1 has a factor: 900125175270055329486809 (ECM curve 8, B1=250000, B2=25000000)
2^27691+1 has a factor: 5676688250023633 (ECM curve 1, B1=250000, B2=25000000)
2^27691+1 has a factor: 756954202057710272459 (ECM curve 2, B1=250000, B2=25000000)
2^27701+1 has a factor: 4672559573017988146321 (ECM curve 13, B1=250000, B2=25000000)
2^27733+1 has a factor: 113932037259153197053498407803 (ECM curve 380, B1=250000, B2=25000000)
2^27733+1 has a factor: 8302428344810133633353 (ECM curve 54, B1=250000, B2=25000000)
2^27737+1 has a factor: 163015967937987660496657 (ECM curve 44, B1=250000, B2=25000000)
2^27737+1 has a factor: 4101333003137327664894994531 (ECM curve 81, B1=250000, B2=25000000)
2^27739+1 has a factor: 279788798546110090324939 (ECM curve 52, B1=250000, B2=25000000)
2^27739+1 has a factor: 4055967776210747 (ECM curve 3, B1=250000, B2=25000000)
2^27749+1 has a factor: 2315025214766991156546378643 (ECM curve 283, B1=250000, B2=25000000)
2^27749+1 has a factor: 77555624603 (ECM curve 1, B1=250000, B2=25000000)
2^27767+1 has a factor: 625295031934666211933761 (ECM curve 15, B1=250000, B2=25000000)
2^27779+1 has a factor: 1101122845793569901540881 (ECM curve 85, B1=250000, B2=25000000)
2^27779+1 has a factor: 36265571311097299 (ECM curve 4, B1=250000, B2=25000000)
2^27791+1 has a factor: 16951291649328720379 (ECM curve 8, B1=250000, B2=25000000)
2^27793+1 has a factor: 5418347975374571 (ECM curve 6, B1=250000, B2=25000000)
2^27823+1 has a factor: 50540906861281 (ECM curve 4, B1=250000, B2=25000000)
2^27827+1 has a factor: 416387478059387420883095729113 (ECM curve 486, B1=250000, B2=25000000)
2^27847+1 has a factor: 2606231094638456225716306873 (ECM curve 336, B1=250000, B2=25000000)
2^27847+1 has a factor: 56737537085651 (ECM curve 1, B1=250000, B2=25000000)
2^27851+1 has a factor: 19143277194429270979 (ECM curve 3, B1=250000, B2=25000000)
2^27851+1 has a factor: 3552852115430344058443 (ECM curve 26, B1=250000, B2=25000000)
2^27851+1 has a factor: 675359167074022316975897 (ECM curve 9, B1=250000, B2=25000000)
2^27883+1 has a factor: 272055716517833 (ECM curve 1, B1=250000, B2=25000000)
2^27883+1 has a factor: 4586582959297918444259 (ECM curve 21, B1=250000, B2=25000000)
2^27901+1 has a factor: 610835875609489 (ECM curve 1, B1=250000, B2=25000000)
2^27943+1 has a factor: 4562924099947011425441 (ECM curve 3, B1=250000, B2=25000000)
2^27947+1 has a factor: 1095279751230775516419366493849 (ECM curve 484, B1=250000, B2=25000000)
2^27953+1 has a factor: 235650478390398067 (ECM curve 6, B1=250000, B2=25000000)
2^27953+1 has a factor: 851801519814235049836691 (ECM curve 155, B1=250000, B2=25000000)
2^27961+1 has a factor: 19575462969743444837717689 (ECM curve 176, B1=250000, B2=25000000)
2^27961+1 has a factor: 81660719698857910993 (ECM curve 9, B1=250000, B2=25000000)
2^28001+1 has a factor: 6153515811016502959831249 (ECM curve 150, B1=250000, B2=25000000)
2^28001+1 has a factor: 933941724398377 (ECM curve 1, B1=250000, B2=25000000)
2^28019+1 has a factor: 436554560508529 (ECM curve 7, B1=250000, B2=25000000)
2^28081+1 has a factor: 194074572623023224521 (ECM curve 36, B1=250000, B2=25000000)
2^28097+1 has a factor: 64437390322933682605662763 (ECM curve 433, B1=250000, B2=25000000)
2^28109+1 has a factor: 1965566999081613689 (ECM curve 10, B1=250000, B2=25000000)
2^28151+1 has a factor: 13694309049729730986997426481 (ECM curve 477, B1=250000, B2=25000000)
2^28163+1 has a factor: 667910928085896083830211 (ECM curve 34, B1=250000, B2=25000000)
2^28181+1 has a factor: 11946314179933372023463201 (ECM curve 230, B1=250000, B2=25000000)
2^28181+1 has a factor: 3039495248907569 (ECM curve 2, B1=250000, B2=25000000)
2^28181+1 has a factor: 47384740646293423216952742803233 (ECM curve 97, B1=250000, B2=25000000)
2^28201+1 has a factor: 150365118171363929 (ECM curve 5, B1=250000, B2=25000000)
2^28219+1 has a factor: 28713532419998629184239387 (ECM curve 10, B1=250000, B2=25000000)
2^28279+1 has a factor: 48698228930129950841747255281 (ECM curve 85, B1=250000, B2=25000000)
2^28279+1 has a factor: 509174446754221300105627547 (ECM curve 39, B1=250000, B2=25000000)
2^28283+1 has a factor: 210778685447316881 (ECM curve 3, B1=250000, B2=25000000)
2^28283+1 has a factor: 228720017516915073187 (ECM curve 1, B1=250000, B2=25000000)
2^28283+1 has a factor: 2718776596724751713 (ECM curve 6, B1=250000, B2=25000000)
2^28289+1 has a factor: 10065835336874254827641 (ECM curve 15, B1=250000, B2=25000000)
2^28289+1 has a factor: 421525369211051291 (ECM curve 2, B1=250000, B2=25000000)
2^28307+1 has a factor: 60842159977 (ECM curve 1, B1=250000, B2=25000000)
2^28309+1 has a factor: 5934232433798148501779590667 (ECM curve 112, B1=250000, B2=25000000)
2^28349+1 has a factor: 41358827553340249703809 (ECM curve 21, B1=250000, B2=25000000)
2^28351+1 has a factor: 274689285332966958242531 (ECM curve 6, B1=250000, B2=25000000)
2^28403+1 has a factor: 92516492483089 (ECM curve 2, B1=250000, B2=25000000)
2^28411+1 has a factor: 2252118748676511340349051 (ECM curve 42, B1=250000, B2=25000000)
2^28411+1 has a factor: 269475834833 (ECM curve 1, B1=250000, B2=25000000)
2^28411+1 has a factor: 95761571850668033 (ECM curve 10, B1=250000, B2=25000000)
2^28439+1 has a factor: 170415304091 (ECM curve 3, B1=250000, B2=25000000)
2^28447+1 has a factor: 1365094655402217064345563419 (ECM curve 240, B1=250000, B2=25000000)
2^28447+1 has a factor: 29004703681830150180228293371 (ECM curve 50, B1=250000, B2=25000000)
2^28463+1 has a factor: 18640106517380667921643 (ECM curve 64, B1=250000, B2=25000000)
2^28493+1 has a factor: 157815186961901081661428683393 (ECM curve 366, B1=250000, B2=25000000)
2^28493+1 has a factor: 32481658787556821641 (ECM curve 3, B1=250000, B2=25000000)
2^28513+1 has a factor: 4024867316598723881630089 (ECM curve 94, B1=250000, B2=25000000)
2^28541+1 has a factor: 1016010220540673320339214587 (ECM curve 50, B1=250000, B2=25000000)
2^28547+1 has a factor: 220647021166968407390033 (ECM curve 212, B1=250000, B2=25000000)
2^28559+1 has a factor: 69421784803803132180707 (ECM curve 28, B1=250000, B2=25000000)
2^28573+1 has a factor: 24381033825210616972198883 (ECM curve 1, B1=250000, B2=25000000) composite
2^28573+1 has a factor: 46876004039401483 (ECM curve 2, B1=250000, B2=25000000)
2^28579+1 has a factor: 146143403025640956497 (ECM curve 10, B1=250000, B2=25000000)
2^28579+1 has a factor: 18524225464144344134867 (ECM curve 9, B1=250000, B2=25000000)
2^28579+1 has a factor: 21441171692020667003 (ECM curve 2, B1=250000, B2=25000000)
2^28579+1 has a factor: 8561341062910033297 (ECM curve 26, B1=250000, B2=25000000)
2^28591+1 has a factor: 223724822213254274858003 (ECM curve 2, B1=250000, B2=25000000)
2^28597+1 has a factor: 131493212322034723 (ECM curve 3, B1=250000, B2=25000000)
2^28597+1 has a factor: 1716640697753906747 (ECM curve 2, B1=250000, B2=25000000)
2^28597+1 has a factor: 2960283919601207732339 (ECM curve 14, B1=250000, B2=25000000)
2^28603+1 has a factor: 56846463124758117772993 (ECM curve 100, B1=250000, B2=25000000)
2^28607+1 has a factor: 20707025618971 (ECM curve 2, B1=250000, B2=25000000)
2^28627+1 has a factor: 34547112988287842482503211 (ECM curve 95, B1=250000, B2=25000000)
2^28643+1 has a factor: 2388511982578324047444253363 (ECM curve 416, B1=250000, B2=25000000)
2^28643+1 has a factor: 3472402000230168311687449339 (ECM curve 1, B1=250000, B2=25000000) composite
2^28649+1 has a factor: 62447685671359916646584611 (ECM curve 199, B1=250000, B2=25000000)
2^28657+1 has a factor: 415574479471395771322801 (ECM curve 74, B1=250000, B2=25000000)
2^28661+1 has a factor: 365628140906440562987 (ECM curve 19, B1=250000, B2=25000000)
2^28723+1 has a factor: 6258292967953672691 (ECM curve 2, B1=250000, B2=25000000)
2^28729+1 has a factor: 7237219556729495628854827 (ECM curve 3, B1=250000, B2=25000000)
2^28753+1 has a factor: 646592460979 (ECM curve 1, B1=250000, B2=25000000)
2^28771+1 has a factor: 130198154347 (ECM curve 1, B1=250000, B2=25000000)
2^28771+1 has a factor: 356749065607009 (ECM curve 2, B1=250000, B2=25000000)
2^28771+1 has a factor: 8023105255397109961 (ECM curve 11, B1=250000, B2=25000000)
2^28807+1 has a factor: 77580221183017411060663369 (ECM curve 138, B1=250000, B2=25000000)
2^28837+1 has a factor: 14187276381204655766404013833 (ECM curve 340, B1=250000, B2=25000000)
2^28837+1 has a factor: 19391806598969947 (ECM curve 3, B1=250000, B2=25000000)
2^28837+1 has a factor: 56900098706076523 (ECM curve 2, B1=250000, B2=25000000)
2^28859+1 has a factor: 7009966665910895841899 (ECM curve 14, B1=250000, B2=25000000)
2^28901+1 has a factor: 113821643712307 (ECM curve 1, B1=250000, B2=25000000)
2^28901+1 has a factor: 1901561348883683 (ECM curve 1, B1=250000, B2=25000000)
2^28901+1 has a factor: 301636854721997849 (ECM curve 1, B1=250000, B2=25000000)
2^28901+1 has a factor: 55622835362823569 (ECM curve 2, B1=250000, B2=25000000)
2^28909+1 has a factor: 659215419859444859 (ECM curve 2, B1=250000, B2=25000000)
2^28921+1 has a factor: 205190087034707 (ECM curve 2, B1=250000, B2=25000000)
2^28949+1 has a factor: 6788545022510280233 (ECM curve 2, B1=250000, B2=25000000)
2^28949+1 has a factor: 8539203723386733298451622179 (ECM curve 288, B1=250000, B2=25000000)
2^28961+1 has a factor: 114776310394019 (ECM curve 2, B1=250000, B2=25000000)
2^28979+1 has a factor: 1623772991294049131 (ECM curve 2, B1=250000, B2=25000000)
2^28979+1 has a factor: 358451810279967656249 (ECM curve 8, B1=250000, B2=25000000)
2^28979+1 has a factor: 383496358583200558793 (ECM curve 16, B1=250000, B2=25000000)
2^28979+1 has a factor: 87223504706485431107 (ECM curve 5, B1=250000, B2=25000000)
[/CODE]
Three of the factors are in fact composite.

And then, at the beginning of the new range:
[CODE]ECM found a factor in curve #1, stage #2
Sigma=7791075725288429, B1=250000, B2=25000000.
2^29027+1 has a factor: 275322488297 (ECM curve 1, B1=250000, B2=25000000)
Cofactor is a probable prime!
[/CODE]
Thus (2^29027+1)/3 = 578914489 · 275322488297 · PRP8718

[QUOTE=axn;497976]

And then, at the beginning of the new range:
[CODE]ECM found a factor in curve #1, stage #2
Sigma=7791075725288429, B1=250000, B2=25000000.
2^29027+1 has a factor: 275322488297 (ECM curve 1, B1=250000, B2=25000000)
Cofactor is a probable prime!
[/CODE]
Thus (2^29027+1)/3 = 578914489 · 275322488297 · PRP8718[/QUOTE]

My test:

[CODE]time ./pfgw64 -k -f0 -od -q"(2^29027+1)/3/578914489/275322488297" | ../../coding/gwnum/hybrid - 1 2 29027 1
Testing (x + 2)^(n + 1) == 5 (mod n, x^2 + 1)...
Likely prime!

real 0m0.392s
user 0m0.448s
sys 0m0.008s
[/CODE]

Congrats :toot:

[CODE]ECM found a factor in curve #390, stage #2
Sigma=7844702814691327, B1=250000, B2=25000000.
2^29437+1 has a factor: 24192412837755888627020059 (ECM curve 390, B1=250000, B2=25000000)
Cofactor is a probable prime![/CODE]

(2^29437+1)/3 = 1177481 · 24192412837755888627020059 · PRP8830

[QUOTE=axn;498055][CODE]ECM found a factor in curve #390, stage #2
Sigma=7844702814691327, B1=250000, B2=25000000.
2^29437+1 has a factor: 24192412837755888627020059 (ECM curve 390, B1=250000, B2=25000000)
Cofactor is a probable prime![/CODE]

(2^29437+1)/3 = 1177481 · 24192412837755888627020059 · PRP8830[/QUOTE]

[CODE]time ./pfgw64 -k -f0 -od -q"(2^29437+1)/3/1177481/24192412837755888627020059" | ../../coding/gwnum/hybrid - 1 2 29437 1

Testing (x + 2)^(n + 1) == 7 (mod n, x^2 - x + 1)...
Likely prime!

real 0m0.838s
user 0m0.468s
sys 0m0.012s
[/CODE]

Congrats again! :toot: :toot:

26500-27000
[CODE]2^26539+1 has a factor: 1755924601699214344410667 (ECM curve 3, B1=250000, B2=25000000)
2^26539+1 has a factor: 7268077218028488681696570091 (ECM curve 142, B1=250000, B2=25000000)
2^26539+1 has a factor: 739022880529378374010651 (ECM curve 27, B1=250000, B2=25000000)
2^26557+1 has a factor: 570786105385334328589929220091 (ECM curve 546, B1=250000, B2=25000000)
2^26633+1 has a factor: 521962997722546931 (ECM curve 2, B1=250000, B2=25000000)
2^26633+1 has a factor: 951800423694101064571 (ECM curve 1, B1=250000, B2=25000000)
2^26647+1 has a factor: 23841269366857 (ECM curve 5, B1=250000, B2=25000000)
2^26647+1 has a factor: 28874286387802821924988027 (ECM curve 160, B1=250000, B2=25000000)
2^26669+1 has a factor: 34208848866592401191347 (ECM curve 1, B1=250000, B2=25000000)
2^26681+1 has a factor: 4315804405640649719929 (ECM curve 10, B1=250000, B2=25000000)
2^26687+1 has a factor: 16977818615058478249 (ECM curve 2, B1=250000, B2=25000000)
2^26699+1 has a factor: 157529185452510481 (ECM curve 7, B1=250000, B2=25000000)
2^26711+1 has a factor: 1457750207323 (ECM curve 1, B1=250000, B2=25000000)
2^26723+1 has a factor: 1012492621354433 (ECM curve 3, B1=250000, B2=25000000)
2^26723+1 has a factor: 10812728119454580422377 (ECM curve 17, B1=250000, B2=25000000)
2^26731+1 has a factor: 6908238573941584112221819 (ECM curve 96, B1=250000, B2=25000000)
2^26737+1 has a factor: 126642046409 (ECM curve 1, B1=250000, B2=25000000)
2^26737+1 has a factor: 99279086020459 (ECM curve 2, B1=250000, B2=25000000)
2^26759+1 has a factor: 10004671701816244027 (ECM curve 4, B1=250000, B2=25000000)
2^26777+1 has a factor: 12131552851519531053693931 (ECM curve 57, B1=250000, B2=25000000)
2^26783+1 has a factor: 10109260419930531745284947 (ECM curve 2, B1=250000, B2=25000000)
2^26813+1 has a factor: 152204642178717843374227 (ECM curve 11, B1=250000, B2=25000000)
2^26813+1 has a factor: 4705462567347407936404121 (ECM curve 11, B1=250000, B2=25000000)
2^26821+1 has a factor: 116252091047819 (ECM curve 2, B1=250000, B2=25000000)
2^26821+1 has a factor: 45301956409 (ECM curve 1, B1=250000, B2=25000000)
2^26833+1 has a factor: 464561562188754187 (ECM curve 4, B1=250000, B2=25000000)
2^26849+1 has a factor: 189072669037665312997283 (ECM curve 10, B1=250000, B2=25000000)
2^26849+1 has a factor: 722900745644870559910094005979 (ECM curve 52, B1=250000, B2=25000000)
2^26881+1 has a factor: 2602953739254332171 (ECM curve 1, B1=250000, B2=25000000)
2^26921+1 has a factor: 780506703854206080715456219 (ECM curve 133, B1=250000, B2=25000000)
2^26951+1 has a factor: 342613870591026181147691 (ECM curve 117, B1=250000, B2=25000000)
2^26951+1 has a factor: 40752350971465158097 (ECM curve 6, B1=250000, B2=25000000)
2^26953+1 has a factor: 18064169244917387 (ECM curve 13, B1=250000, B2=25000000)
2^26953+1 has a factor: 191735787203823394339 (ECM curve 7, B1=250000, B2=25000000)
2^26959+1 has a factor: 3132242978151222331461052457 (ECM curve 427, B1=250000, B2=25000000)
2^26987+1 has a factor: 123185407029083981129 (ECM curve 4, B1=250000, B2=25000000)
2^26993+1 has a factor: 2064939720250565676834316337 (ECM curve 22, B1=250000, B2=25000000)
2^26993+1 has a factor: 211389047300574330083555495321 (ECM curve 192, B1=250000, B2=25000000)
2^26993+1 has a factor: 28444224652867888762897 (ECM curve 20, B1=250000, B2=25000000)
2^26993+1 has a factor: 6069686027407845098070931976089 (ECM curve 1, B1=250000, B2=25000000)
2^26993+1 has a factor: 660639476683 (ECM curve 1, B1=250000, B2=25000000)
2^26993+1 has a factor: 7351898822208558748363 (ECM curve 7, B1=250000, B2=25000000)
[/CODE]

Status update: [URL="http://mprime.s3-website.us-west-1.amazonaws.com/wagstaff/"]Wagstaff page[/URL]

The page contains downloadable links to factors and PRP residues.

Using the Gerbicz cofactor compositeness test, I didn't find any new PRP cofactors in the range 1M to 2M, with the present set of known factors. So the largest known PRP cofactor is still the one for the exponent 823337.

Below 2M, I did PRP tests for all exponents. Above 2M, I'm currently only doing PRP tests for exponents with no known factors, and therefore won't find any new PRP cofactors.

I'm currently partway through the 4M range. Still verifying the small exponent ranges, but might switch to the 10M range at some point. But first I'd want to factor those higher ranges a bit more, possibly if I get a RTX 2080 for that purpose.

The previous efforts in 2013, which used the (unproven) Vrba-Reix algorithm in the LLR program, halted at 10M. Ryan Propper found the Wagstaff (probable) primes 13347311
13372531 in September 2013, but it's not known how thoroughly he searched the space above 10M.

The PRP testing will probably get interrupted temporarily at some point for the year-end holiday season, when spot instance prices in the cloud tend to spike.

[QUOTE=GP2;498262]I'm currently partway through the 4M range. Still verifying the small exponent ranges, but might switch to the 10M range at some point. But first I'd want to factor those higher ranges a bit more, possibly if I get a RTX 2080 for that purpose.[/QUOTE]
If you can hook me up with instruction to compile mfatktc Wagstaff and worktodo files, I can put a 1050Ti for this. I can also throw in couple of slow cores for P-1

[QUOTE=axn;498265]If you can hook me up with instruction to compile mfatktc Wagstaff and worktodo files, I can put a 1050Ti for this. I can also throw in couple of slow cores for P-1[/QUOTE]

It's quite simple really. Just uncomment the line [c]#define WAGSTAFF[/c] in the [c]params.h[/c] file, and then compile mfaktc in the usual way. The worktodo lines are exactly the same, it's the executable that reads them which is different.

I am doing some minimal P−1 myself, with bounds B1 = p / 200 and B2 = p / 10, which actually finds factors for a surprising percentage of exponents. For P−1, as with TF, there is a lot of very low-hanging fruit but then rapidly diminishing returns.

I already TF'd the 10M range from 60–64. Back in 2013, ATH TF'd everything from 8M to 16M to 60 bits (and 10k to 1M to 56 bits, 1M to 2M to 57 bits, 2M to 4M to 58 bits, 4M to 8M to 59 bits, 16M to 32M to 61 bits, 32M to 50M to 62 bits).