is 2 2832131 - 1
has 852557 decimal digits
takes 0.219 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L78F0B9BE96C4AEF1double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual272337.672869.4444%50000002000000001.74986.6933%339.422671.4896%2.0452%
PrimeNet2590.027162.7119%120002400000.00272.9331%0.029963.8056%1.0937%
GPU722630.563565.0794%160002600000.00331.8268%0.566865.7173%0.6379%
Difference+9+337.1093+4.3651%+4984000+199740000+1.7465+4.8665%+338.8558+5.7723%+5.7723%

Known prime factors (1 factor, 79.5 bits, 0.00280774% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
28321318661673924398602943330792479.519152917960440364569
33 × 17 × 29 × 11488089583079
2020-11-18291148808958307966,89470,096130,920

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-11-28T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.101%
2012-12-17T17:56:00Squeeky_SquirrelT7500_22001950006288750---0.059--2.302%
2017-07-10T01:11:31Jocelyn Larouchelow 4M39000039000006---0.065--2.322%
2017-08-22T09:50:08Jocelyn Larouchelow 4M46800046800006---0.078--2.492%
2019-11-04T17:20:55masserManual testing28400002840000012---0.474--4.508%
2020-01-29T03:38:10masserManual testing500000020000000012---1.750--6.693%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:22Mark RoseManual testing21260--0.054--
2009-02-13T20:18:00Sturle Sundegonzo.ifi260261--0.054--
2012-02-12T02:10:00Grant McCrackenthumper261262--0.108--
2012-07-15T17:18:00dbaughManual testing262263--0.347--
2012-07-16T06:01:00dbaughManual testing263264--0.693--
2012-07-18T07:13:00dbaughManual testing264265--1.319--
2012-07-18T07:17:00dbaughManual testing265266--2.639--
2012-07-23T04:49:00dbaughManual testing266267--5.277--
2012-07-27T05:40:00dbaughManual testing267268--10.55--
2012-07-29T13:38:00dbaughManual testing268269--21.11--
2012-08-28T08:05:00dbaughManual testing269270--42.22--
2012-11-19T10:35:00dbaughManual testing270271--84.43--
2013-02-23T08:46:00dbaughManual testing271272--168.9--


ECM factoring results:

Old Calculation Method

Total ECM effort:5.323 GHz-days
Estimated T-Level:2.550
DigitsB1CurvesCompleteFacMiss
201100051 / 1000.51059.896%
255000051 / 2800.18283.321%

New Calculation Method

Total ECM effort:5.323 GHz-days
Estimated T-Level:2.550
DigitsB1CompleteFacMiss
20110001.96214.064%
25500000.18183.402%
302500000.01198.862%


ECM Summary

B1B2factorcurvesGHz-days
500005000000454.697
50000500000060.626


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-07-27T00:00:00ANONYMOUSv4_computers78F0B9BE96C4AEF10.219
2018-09-11T04:35:51kkmrkkblmbrbkold78F0B9BE96C4AEF10.219


PRP results:
dateuseridcompidcofactorsres64PRP
2020-11-16T14:12:14mrhlanai
866167392439860294333079
7CF86906278DD8__no
2020-12-01T00:53:26oodairacom2
866167392439860294333079
7CF86906278DD81Eno


P-1 factor-bounds graph:
B1 = 5000000, B2 = 200000000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 2840000, B2 = 28400000 (P-1 stage 2)
B1 = 2840000 (P-1 stage 1)
B1 = 468000, B2 = 4680000 (P-1 stage 2)
B1 = 390000, B2 = 3900000 (P-1 stage 2)
B1 = 195000, B2 = 6288750 (P-1 stage 2)
B1 = 468000 (P-1 stage 1)
B1 = 390000 (P-1 stage 1)
B1 = 195000 (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: 2020-12-01T00:53:26+00:00