is 2 2781019 - 1
has 837171 decimal digits
takes 0.215 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L2A7E658702E65398double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26821.432767.6471 %2700000840000000.79847.6853 %22.231270.1335 %
Target2630.573965.0794 %1500012000000.00891.7476 %0.582865.6896 %
Difference+5+20.8589+2.5677 %+2685000+82800000+0.7895+5.9377%+21.6484+4.4438 %

Known prime factors (1 factor, 69.4 bits, 0.00249409% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
27810197581411446869649488872169.361136306358332497
32 × 1733 × 8739267701
2020-08-101733873926770142.92953.32499.59

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-11-17ANONYMOUSv4_computers2048204800--0.0010.681%
2010-11-11JossManual testing1500015000--0.0020.514%
2010-11-26markrtiny11000024475006--0.0294.623%
2016-05-31JossManual testing11000048950006--0.0465.306%
2016-10-28JossManual testing190080190080---2.266%
2017-03-13JossManual testing32845832845806--0.0605.575%
2017-04-03mikrMSI27000008400000012--0.77811.378%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1997-11-11ANONYMOUSv4_computers212590.014
2016-02-23Mark RoseManual testing2592600.028
2009-01-28Sturle Sundegicy.ifi2602610.055
2012-03-19Grant McCrackenhome2612620.110
2013-01-10dbaughManual testing2622630.353
2015-04-21VictordeHollanderManual testing2632640.706
2015-04-21VictordeHollanderManual testing2642651.344
2015-12-20omylistManual testing2652662.687
2017-10-16Gordon SpenceManual testing2662675.374
2019-02-24chuenkitManual testing26726810.75


ECM factoring results:
Total ECM effort:3.028 GHz-days
Estimated T-Level:20.552
DigitsB1CompleteFacMiss
20110001.19230.352%
25500000.11089.555%
302500000.00799.307%


ECM Summary

B1B2factorcurvesGHz-days
500005000000302.927
50000500000010.101


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1997-11-11ANONYMOUSv4_computers2A7E658702E653980.215
2015-11-14MadPooManual testing2A7E658702E653980.237


PRP results:
dateuseridcompidcofactorsres64
2020-08-11M Millercruncher
758141144686964948887
DC184C41E90707FA


CERT results:
dateuseridcompid
2020-08-11DRobinsonPE3200G


P-1 factor-bounds graph:
B1 = 2700000, B2 = 84000000 (P-1 stage 2)
B1 = 2700000 (P-1 stage 1)
B1 = 328458, B2 = 3284580 (P-1 stage 2)
B1 = 110000, B2 = 4895000 (P-1 stage 2)
B1 = 328458 (P-1 stage 1)
B1 = 110000, B2 = 2447500 (P-1 stage 2)
B1 = 190080 (P-1 stage 1)
B1 = 110000 (P-1 stage 1)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
259
this exponent TF target: 63
TF double-checked to: 67
ECM T-Level=20.55 ~= 52-bit
250
260
270
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Last modified: 2024-02-29T14:28:04+00:00