is 2 3231313 - 1
has 972723 decimal digits
takes 0.275 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L0D84663DFF86D640double-checked
PRPCB06246583AB56E0verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26818.446067.6471%40000001500000001.47538.7690%19.921370.4841%2.8370%
PrimeNet2600.047563.3333%140002600000.00342.7680%0.050964.3483%1.0149%
GPU722641.101565.6250%160002800000.00371.6530%1.105366.1932%0.5682%
Difference+4+17.3445+2.0221%+3984000+149720000+1.4716+7.1160%+18.8161+4.2909%+4.2909%

Known prime factors (1 factor, 75.4 bits, 0.00233226% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3231313485727540761989881315372375.3637515946934914536
23 × 32 × 17 × 389 × 15785294401
2020-12-27389157852944013,770.5106.14198.23

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-03T07:18:00Carsten Kossendeydurandal15000191250---0.003--0.784%
2011-09-07T07:38:00harleeP4_2600600001035000---0.014--1.920%
2014-06-11T02:09:00Jocelyn LaroucheManual testing7986379863---0.010--0.754%
2014-09-29T22:05:00Jocelyn LaroucheManual testing9972699726---0.012--0.861%
2016-01-10T19:08:48Squeeky_SquirrelP4_260016500044137506---0.049--3.294%
2016-05-21T05:26:04Jocelyn LaroucheManual testing37783868010846---0.090--4.071%
2020-04-22T02:23:33mikrMSI400000015000000012---1.475--8.769%
2021-01-17T23:14:13Jocelyn LaroucheManual testing40783832313136---0.069--3.471%
2022-01-24T05:49:00Jocelyn LaroucheManual testing1073130119912100---0.931--7.572%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-05-13T00:00:00ANONYMOUSv4_computers21260--0.048--
2009-04-05T22:53:00S485122USB-A260261--0.048--
2011-09-24T16:22:00markroldgamer261262--0.095--
2013-01-03T08:49:00dbaughManual testing262263--0.304--
2015-02-15T12:51:00VictordeHollanderManual testing263264--0.608--
2015-02-15T12:51:00VictordeHollanderManual testing264265--1.156--
2015-06-24T21:57:00ThaManual testing265266--2.313--
2021-02-21T11:36:42Jocelyn LaroucheManual testing265266--2.313--
2021-02-22T09:03:46Jocelyn LaroucheManual testing266267--4.625--
2017-03-26T03:14:45Gordon SpenceManual testing266267--4.625--
2018-12-03T19:08:44TJAOIManual testing267268--9.250--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.984 GHz-days
Estimated T-Level:1.250
DigitsB1CurvesCompleteFacMiss
201100025 / 1000.25077.782%
255000025 / 2800.08991.444%

New Calculation Method

Total ECM effort:2.984 GHz-days
Estimated T-Level:1.250
DigitsB1CompleteFacMiss
20110000.81344.347%
25500000.07392.915%
302500000.00599.548%


ECM Summary

B1B2factorcurvesGHz-days
500005000000151.765
50000500000070.824
50000635000030.396


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-05-08T00:00:00Ernst W. Mayerv4_computers0D84663DFF86D6400.275
1999-06-15T00:00:00ANONYMOUSv4_computers0D84663DFF86D6400.275


PRP results:
dateuseridcompidcofactorsres64PRP
2020-12-28T03:41:27Niels_Mache_Nextcloudconf4-a
48572754076198988131537
CB06246583AB56E0no


P-1 factor-bounds graph:
B1 = 4000000, B2 = 150000000 (P-1 stage 2)
B1 = 1073130, B2 = 119912100 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 1073130 (P-1 stage 1)
B1 = 377838, B2 = 6801084 (P-1 stage 2)
B1 = 407838, B2 = 3231313 (P-1 stage 2)
B1 = 407838 (P-1 stage 1)
B1 = 165000, B2 = 4413750 (P-1 stage 2)
B1 = 377838 (P-1 stage 1)
B1 = 165000 (P-1 stage 1)
B1 = 60000, B2 = 1035000 (P-1 stage 2)
B1 = 99726 (P-1 stage 1)
B1 = 79863 (P-1 stage 1)
B1 = 60000 (P-1 stage 1)
B1 = 15000, B2 = 191250 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-01-24T05:49:00+00:00