is 2 2335877 - 1
has 703170 decimal digits
takes 0.158 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LD12DADDF40FD2117double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26951.110168.1159 %60000001800000001.51648.3084 %52.626470.7650 %
Target2620.263064.5161 %1300010000000.00651.7844 %0.269665.1493 %
Difference+7+50.8470+3.5998 %+5987000+179000000+1.5098+6.5240%+52.3569+5.6157 %

Known prime factors (1 factor, 77.8 bits, 0.00332940% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
23358772578265713040834319051592477.77155188387767010727
17 × 3246375751000631
2021-06-1317324637575100063113,10417,325,54732,359,296

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-09-21ANONYMOUSv4_computers2048204800--0.0010.792%
2010-03-02Budannan5000001000000012--0.1027.762%
2018-02-22Sid & AndyHand_In_The_Box600000018000000012--1.55713.807%


Trial Factoring results:
57585960616263646566676869
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2016-02-23Mark RoseManual testing212600.066
2009-01-14Sturle Sundeginglo.ifi2602610.066
2012-05-27Sebastian HornbostelManual testing2612620.132
2013-01-23dbaughManual testing2622630.420
2015-03-03VictordeHollanderManual testing2632640.841
2015-03-03VictordeHollanderManual testing2642651.600
2015-10-25ramgeisManual testing2652663.199
2017-06-07Gordon SpenceManual testing2662676.398
2019-03-25TJAOIManual testing26726812.80
2021-06-10TJAOIManual testing26826925.59


ECM factoring results:
Total ECM effort:12.769 GHz-days
Estimated T-Level:22.580
DigitsB1CompleteFacMiss
20110005.5770.378%
25500000.51659.685%
302500000.03396.797%
3510000000.00299.848%


ECM Summary

B1B2factorcurvesGHz-days
50000500000014312.59
50000520000020.180


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-01ANONYMOUSv4_computersD12DADDF40FD21170.158
2018-05-07kkmrkkblmbrbkoldD12DADDF40FD21170.158


PRP results:
dateuseridcompidcofactorsres64
2021-06-16Sébastien BROUCKEPortable_Seb
257826571304083431905159
713722662DEBAB49
2021-06-16ATHec2-PRPCF
257826571304083431905159
713722662DEBAB49


CERT results:
dateuseridcompid
2021-06-16lugge_wacl-prime


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=22.58 ~= 58-bit
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Last modified: 2024-02-09T03:30:02+00:00