is 2 2316529 - 1
has 697345 decimal digits
takes 0.156 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L31AE8EAE03684B0Adouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26825.730367.6471 %60000001800000001.51648.9644 %27.246670.5473 %
Target2620.265264.5161 %1300010000000.00651.7815 %0.271765.1483 %
Difference+6+25.4650+3.1309 %+5987000+179000000+1.5098+7.1829%+26.9749+5.3990 %

Known prime factors (1 factor, 80.4 bits, 0.00347255% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
231652916430039230833865019060632580.443354626236728179639
1201 × 295275800772839
2021-03-191201295275800772839105,7041,575,8542,943,257

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-09-14ANONYMOUSv4_computers2048204800--0.0010.790%
2010-02-19Budannan5000001000000012--0.1027.755%
2018-01-02Sid & AndyHand_In_The_Box600000018000000012--1.55713.798%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2016-02-23Mark RoseManual testing212600.066
2009-01-13Sturle Sundeothello.ifi2602610.066
2012-05-24Sebastian HornbostelManual testing2612620.133
2013-12-06Jerry HallettManual testing2622630.424
2015-03-03VictordeHollanderManual testing2632640.848
2015-03-03VictordeHollanderManual testing2642651.613
2015-10-23ramgeisManual testing2652663.226
2017-06-03Gordon SpenceManual testing2662676.452
2019-04-15TJAOIManual testing26726812.90


ECM factoring results:
Total ECM effort:11.704 GHz-days
Estimated T-Level:22.367
DigitsB1CompleteFacMiss
20110005.1150.600%
25500000.47362.294%
302500000.03097.059%
3510000000.00199.861%


ECM Summary

B1B2factorcurvesGHz-days
50000500000013211.61
50000500000010.089


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-26Greg Hewgillv4_computers31AE8EAE03684B0A0.156
2018-05-04kkmrkkblmbrbkold31AE8EAE03684B0A0.156


PRP results:
dateuseridcompidcofactorsres64
2021-03-19freiburgerSpeicher
1643003923083386501906063
AA318368F28C9E08


CERT results:
dateuseridcompid
2021-03-19ZacHFX5600X


P-1 factor-bounds graph:
B1 = 6000000, B2 = 180000000 (P-1 stage 2)
B1 = 6000000 (P-1 stage 1)
B1 = 500000, B2 = 10000000 (P-1 stage 2)
B1 = 500000 (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=22.37 ~= 58-bit
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Last modified: 2024-02-09T03:30:02+00:00