is 2 2742653 - 1
has 825621 decimal digits
takes 0.212 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L854B8A2D1C6033C3double-checked
PRP03DA5019CC09E70Cverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26943.529768.1159%2700000840000000.79847.0646%44.328170.3684%2.2525%
PrimeNet2590.028062.7119%120002200000.00262.8511%0.030663.7750%1.0631%
GPU722630.581965.0794%140002400000.00291.7082%0.584965.6759%0.5965%
Difference+6+42.9478+3.0366%+2686000+83760000+0.7955+5.3564%+43.7432+4.6925%+4.6925%

Known prime factors (1 factor, 77.9 bits, 0.00284137% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
27426532876941029621408281207532477.92952448141081307192
23 × 3 × 13 × 37 × 73 × 62237325541
2021-09-29736223732554115,972379.75709.27

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-11-16T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.194%
2003-11-28T00:00:00Team Prime Ribv4_computers15000225000---0.003--0.681%
2010-12-21T01:09:00Jocelyn LaroucheManual testing2000020000---0.002--0.226%
2010-12-29T20:12:00Jocelyn LaroucheManual testing3000030000---0.003--0.315%
2011-01-21T23:30:00Jocelyn LaroucheManual testing5000050000---0.006--0.461%
2011-04-29T23:20:00James HeinrichWHS1850004625000---0.048--2.970%
2016-11-08T20:58:11mikrMSI27000008400000012---0.798--7.065%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-04-11T00:00:00ANONYMOUSv4_computers21259--0.028--
2016-02-23T16:29:20Mark RoseManual testing259260--0.028--
2009-01-30T14:56:00Sturle Sundegollumilla.ifi260261--0.056--
2012-04-06T01:06:00markroldgamer261262--0.112--
2013-01-14T12:31:00dbaughManual testing262263--0.358--
2015-04-21T09:20:00VictordeHollanderManual testing263264--0.716--
2015-04-21T09:20:00VictordeHollanderManual testing264265--1.362--
2016-02-03T11:43:36ramgeisManual testing265266--2.725--
2017-10-05T11:09:31Gordon SpenceManual testing266267--5.449--
2019-02-18T09:11:43chuenkitManual testing267268--10.90--
2021-07-08T15:44:19TJAOIManual testing268269--21.80--


ECM factoring results:

Old Calculation Method

Total ECM effort:11.941 GHz-days
Estimated T-Level:22.036
DigitsB1CurvesCompleteFacMiss
2011000114 / 1001.14031.799%
2550000114 / 2800.40766.506%

New Calculation Method

Total ECM effort:11.941 GHz-days
Estimated T-Level:22.036
DigitsB1CompleteFacMiss
20110003.6932.490%
25500000.33471.603%
302500000.02197.963%


ECM Summary

B1B2factorcurvesGHz-days
50000500000010210.59
50000500000050.519
50000665000070.830


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-04-11T00:00:00ANONYMOUSv4_computers854B8A2D1C6033C30.212
1999-07-27T00:00:00arnaudv4_computers854B8A2D1C6033C30.212


PRP results:
dateuseridcompidcofactorsres64PRP
2021-10-09T07:55:45Peter_JakubOptiPlex
287694102962140828120753
03DA5019CC09E70Cno


P-1 factor-bounds graph:
B1 = 2700000, B2 = 84000000 (P-1 stage 2)
B1 = 2700000 (P-1 stage 1)
B1 = 185000, B2 = 4625000 (P-1 stage 2)
B1 = 185000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 15000, B2 = 225000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
B1 = 15000 (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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Last modified: 2021-10-09T07:55:45+00:00