is 2 3121333 - 1
has 939615 decimal digits
takes 0.266 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L0A793C2E981F0E3Ddouble-checked
PRP68F79954085E9DFFPRP-tested

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26938.248768.1159%30000001000000001.02247.4232%39.271170.4828%2.3668%
PrimeNet2600.049263.3333%130002400000.00312.6455%0.052364.3033%0.9700%
GPU722641.140365.6250%150002400000.00341.5415%1.143766.1549%0.5299%
Difference+5+37.1083+2.4909%+2985000+99760000+1.0191+5.8818%+38.1274+4.3279%+1.8369%

Known prime factors (1 factor, 76.2 bits, 0.00244114% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3121333865629646714108082272092376.19613866345672091188
22 × 3 × 191 × 6049889036689
2021-11-0419160498890366898,137.840,67875,975

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2004-02-07T00:00:00ANONYMOUSv4_computers2048204800---0.002--0.202%
2009-07-03T00:44:00Carsten Kossendeyleela15000180000---0.003--0.651%
2011-08-27T14:51:00Squeeky_SquirrelT7500_22001050002126250---0.027--2.278%
2016-09-30T02:08:06Squeeky_Squirreli5-5250U_1600195000546000012---0.059--3.162%
2018-07-16T23:48:57Jocelyn Larouchelow 4M6921442076432---0.095--2.892%
2018-07-17T07:39:19Jocelyn Larouchelow 4M6921442768576---0.099--3.140%
2018-07-17T23:14:16Jocelyn Larouchelow 4M6921443460720---0.104--3.333%
2018-11-15T17:18:39mikrMSI300000010000000012---1.022--7.423%
2022-02-20T13:28:23Jocelyn LaroucheManual testing1000000128282700---0.979--6.932%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-04-29T00:00:00ANONYMOUSv4_computers21260--0.049--
2009-04-14T15:47:00S485122USB-A260261--0.049--
2011-11-22T16:15:00Grant McCrackenhome261262--0.098--
2013-01-03T08:41:00dbaughManual testing262263--0.314--
2015-02-11T09:10:00VictordeHollanderManual testing263264--0.629--
2015-02-11T09:10:00VictordeHollanderManual testing264265--1.197--
2015-06-11T22:04:00ThaManual testing265266--2.394--
2017-04-14T16:24:31Gordon SpenceManual testing266267--4.788--
2019-01-21T12:54:08TJAOIManual testing267268--9.58--
2021-07-22T10:09:49TJAOIManual testing268269--19.15--


ECM factoring results:
Total ECM effort:8.535 GHz-days
Estimated T-Level:21.291
DigitsB1CompleteFacMiss
20110002.7836.184%
25500000.25877.250%
302500000.01698.384%


ECM Summary

B1B2factorcurvesGHz-days
500005000000647.484
50000635000070.916
50000670000010.135


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-03-03T00:00:00ANONYMOUSv4_computers0A793C2E981F0E3D0.266
1999-05-23T00:00:00ANONYMOUSv4_computers0A793C2E981F0E3D0.266


PRP results:
dateuseridcompidcofactorsres64PRP
2021-11-06T11:53:16kutenselaine1
86562964671410808227209
68F79954085E9DFFno


P-1 factor-bounds graph:
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 1000000, B2 = 128282700 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 692144, B2 = 3460720 (P-1 stage 2)
B1 = 692144, B2 = 2768576 (P-1 stage 2)
B1 = 692144, B2 = 2076432 (P-1 stage 2)
B1 = 692144 (P-1 stage 1)
B1 = 195000, B2 = 5460000 (P-1 stage 2)
B1 = 105000, B2 = 2126250 (P-1 stage 2)
B1 = 195000 (P-1 stage 1)
B1 = 105000 (P-1 stage 1)
B1 = 15000, B2 = 180000 (P-1 stage 2)
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: 2022-02-20T13:28:23+00:00