is 2 2224171 - 1
has 669543 decimal digits
takes 0.146 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LEED1C95FFF4F8880double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual272429.973169.4444 %100000000500115752136025,986.276821.2063 %26,416.249975.9241 %
Target2620.276264.5161 %110009000000.00571.6305 %0.281965.0947 %
Difference+10+429.6969+4.9283 %+99989000+5001156621360+25,986.2711+19.5758%+26,415.9680+10.8294 %

Known prime factors (1 factor, 114.9 bits, 0.00516479% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
22241713805572739675026961207915600948441735114.8748555036325163458567726842048
26 × 131 × 44714953 × 22820114001760249
2023-02-2044714953228201140017602495.772e+10118,533,381221,387,339

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-03-27ANONYMOUSv4_computers204820480012--0.0010.782%
2010-10-21Oscar Östlin7501175011--0.0071.595%
2011-01-12Oscar Östlin8500015937506--0.0164.399%
2014-05-26JossManual testing113858113858--0.0111.963%
2014-09-29JossManual testing142716142716--0.0142.181%
2015-05-02Squeeky_SquirrelP4_260016000046000006--0.0385.951%
2015-11-21Alexander DubrovinManual testing100000050000006--0.1167.041%
2015-11-21Alexander DubrovinManual testing10000002500000012--0.2209.489%
2015-12-24Alexander DubrovinManual testing20000006500000012--0.51811.416%
2022-01-24LaurVbutu69725936972593--0.6657.769%
2022-01-28LaurVbutu6972593112580788320--670.124.409%
2022-02-11LaurVbutu5788516157885161--5.51911.784%
2022-02-23LaurVbutu57885161580955635260--3,46029.367%
2022-03-19LaurVbutu8258993382589933--7.87412.490%
2022-04-22LaurVZero818578851612100095377380--12,82031.422%
2022-10-01LaurVZero818100000000100000000--9.8012.872%
2022-12-04LaurVZero8181000000005001157521360--30,52633.376%


Trial Factoring results:
57585960616263646566676869707172
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-02-07foxkidv4_computers212580.017
2016-02-23Mark RoseManual testing2582600.052
2009-01-11Sturle Sundebuxtehude.ifi2602610.069
2012-04-19Sebastian HornbostelManual testing2612620.138
2013-01-23dbaughManual testing2622630.441
2015-03-06VictordeHollanderManual testing2632640.883
2015-03-06VictordeHollanderManual testing2642651.680
2015-10-25ramgeisManual testing2652663.360
2016-12-23Gordon SpenceManual testing2662676.720
2019-04-22TJAOIManual testing26726813.44
2021-08-12TJAOIManual testing26826926.88
2022-09-12LaurVManual testing26927053.76
2022-09-12LaurVManual testing270271107.5
2022-09-12LaurVManual testing271272215.0


ECM factoring results:
Total ECM effort:280.113 GHz-days
Estimated T-Level:25.787
DigitsB1CompleteFacMiss
201100013.6610.000%
25500001.62919.608%
302500000.15785.435%
3510000000.01598.508%
4030000000.00299.844%


ECM Summary

B1B2factorcurvesGHz-days
50000500000018515.73
50000675000070.687
500006800000201.969
500001177092703330.73
2500005509116802087.50
50000050853621014.325
10000002054030055232.77
11000000115782767101106.4


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-14foxkidv4_computersEED1C95FFF4F88800.146
2018-04-19kkmrkkblmbrbkoldEED1C95FFF4F88800.146


PRP results:
dateuseridcompidcofactorsres64
2023-02-21LordJuliusWhitebox
38055727396750269612079156009484417
D2AC8DEED760992B


CERT results:
dateuseridcompid
2023-02-21Chun sung sooyejin_jo


P-1 factor-bounds graph:
B1 = 100000000, B2 = 5001157521360 (P-1 stage 2)
B1 = 57885161, B2 = 2100095377380 (P-1 stage 2)
B1 = 57885161, B2 = 580955635260 (P-1 stage 2)
B1 = 6972593, B2 = 112580788320 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
B1 = 82589933 (P-1 stage 1)
B1 = 57885161 (P-1 stage 1)
B1 = 6972593 (P-1 stage 1)
B1 = 2000000, B2 = 65000000 (P-1 stage 2)
B1 = 1000000, B2 = 25000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 1000000, B2 = 5000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 160000, B2 = 4600000 (P-1 stage 2)
B1 = 85000, B2 = 1593750 (P-1 stage 2)
B1 = 160000 (P-1 stage 1)
B1 = 142716 (P-1 stage 1)
B1 = 113858 (P-1 stage 1)
B1 = 85000 (P-1 stage 1)
B1 = 75011 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
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TF factor-bounds graph:
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this exponent TF target: 62
TF double-checked to: 67
ECM T-Level=25.79 ~= 69-bit
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Last modified: 2024-02-09T03:30:02+00:00