is 2 2750261 - 1
has 827912 decimal digits
takes 0.212 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L5E55732121666454double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26821.672467.6471 %2700000840000000.79847.6767 %22.470970.1307 %
Target2630.580365.0794 %1400012000000.00881.7091 %0.589165.6762 %
Difference+5+21.0921+2.5677 %+2686000+82800000+0.7896+5.9676%+21.8818+4.4545 %

Known prime factors (1 factor, 73.8 bits, 0.00268282% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2750261162700904979930670286332373.7852957917539097756
22 × 30529 × 24222194791
2020-12-313052924222194791695.51147.80276.04

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-11-16ANONYMOUSv4_computers2048204800--0.0010.679%
2003-11-28Team Prime Ribv4_computers15000225000--0.0031.712%
2010-12-21JossManual testing2000020000--0.0020.635%
2011-01-02JossManual testing3000030000--0.0040.839%
2011-01-22JossManual testing5000050000--0.0061.150%
2011-05-04James HeinrichWHS19000046550006--0.0495.649%
2016-12-04mikrMSI27000008400000012--0.77811.367%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2016-02-23Mark RoseManual testing212600.056
2009-01-28Sturle Sundeginara.ifi2602610.056
2012-03-31Grant McCrackenthumper2612620.112
2013-01-14dbaughManual testing2622630.357
2015-04-21VictordeHollanderManual testing2632640.714
2015-04-21VictordeHollanderManual testing2642651.359
2016-02-04ramgeisManual testing2652662.717
2017-10-09Gordon SpenceManual testing2662675.434
2019-02-19chuenkitManual testing26726810.87


ECM factoring results:
Total ECM effort:6.758 GHz-days
Estimated T-Level:21.192
DigitsB1CompleteFacMiss
20110002.5777.601%
25500000.23878.786%
302500000.01598.507%


ECM Summary

B1B2factorcurvesGHz-days
500005000000646.455
50000500000030.304


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-05-23ANONYMOUSv4_computers5E557321216664540.212
1999-05-23ANONYMOUSv4_computers5E557321216664540.212
2018-08-14kkmrkkblmbrbkold5E557321216664540.207


PRP results:
dateuseridcompidcofactorsres64
2021-01-01Niels_Mache_Nextcloudconf4-a
16270090497993067028633
0CAADD5FE8110DFE


CERT results:
dateuseridcompid
2021-01-01Franklin Webbertheta


P-1 factor-bounds graph:
B1 = 2700000, B2 = 84000000 (P-1 stage 2)
B1 = 2700000 (P-1 stage 1)
B1 = 190000, B2 = 4655000 (P-1 stage 2)
B1 = 190000 (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)
102
103
104
105
106
107
102
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
this exponent TF target: 63
TF double-checked to: 67
ECM T-Level=21.19 ~= 54-bit
250
260
270
280
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Last modified: 2024-02-29T14:28:04+00:00