is 2 3195547 - 1
has 961956 decimal digits
takes 0.272 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L28EF7BC39035020Edouble-checked
PRPB35E0EA98D68FAF7verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26818.652567.6471%40000001500000001.47538.7598%20.127870.4811%2.8340%
PrimeNet2600.048163.3333%130002400000.00312.6568%0.051264.3075%0.9741%
GPU722641.113865.6250%160002600000.00361.6153%1.117566.1803%0.5553%
Difference+4+17.5386+2.0221%+3984000+149740000+1.4717+7.1445%+19.0103+4.3009%+4.3009%

Known prime factors (1 factor, 81.9 bits, 0.00256424% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
319554746431207185656364943642312581.941726498580456747545
3 × 5 × 37 × 1309006451273419
2021-03-19371309006451273419306,0128,801,46816,438,692

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2004-02-14T00:00:00ANONYMOUSv4_computers2048204800---0.002--0.252%
2013-01-07T19:42:00Squeeky_SquirrelT7500_22002150006235000---0.067--3.691%
2018-09-04T09:57:14Jocelyn Larouchelow 4M5203001040600---0.068--2.556%
2018-09-04T22:49:15Jocelyn Larouchelow 4M5203001560900---0.071--2.908%
2018-09-05T10:15:27Jocelyn Larouchelow 4M5203002081200---0.075--3.160%
2018-09-07T07:56:54Jocelyn Larouchelow 4M5203003642100---0.085--3.656%
2018-09-07T21:04:12Jocelyn Larouchelow 4M5203004162400---0.089--3.776%
2019-11-20T06:17:31mikrMSI400000015000000012---1.475--8.760%
2022-03-10T20:59:51Jocelyn LaroucheManual testing1000000134343300---1.020--7.629%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-04-21T00:00:00ANONYMOUSv4_computers21259--0.024--
1998-06-01T00:00:00ANONYMOUSv4_computers21260--0.048--
2009-04-07T05:39:00S485122USB-Z260261--0.048--
2011-10-12T03:00:00markroldgamer261262--0.096--
2013-01-03T08:47:00dbaughManual testing262263--0.307--
2015-02-15T12:51:00VictordeHollanderManual testing263264--0.614--
2015-02-15T12:51:00VictordeHollanderManual testing264265--1.169--
2015-06-21T21:40:00ThaManual testing265266--2.338--
2017-05-01T03:37:58Gordon SpenceManual testing266267--4.677--
2018-12-17T13:21:56TJAOIManual testing267268--9.354--


ECM factoring results:

Old Calculation Method

Total ECM effort:5.050 GHz-days
Estimated T-Level:2.150
DigitsB1CurvesCompleteFacMiss
201100043 / 1000.43064.910%
255000043 / 2800.15485.740%

New Calculation Method

Total ECM effort:5.050 GHz-days
Estimated T-Level:2.150
DigitsB1CompleteFacMiss
20110001.65419.131%
25500000.15385.811%
302500000.01099.039%


ECM Summary

B1B2factorcurvesGHz-days
500005000000364.228
50000500000070.822


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-06-14T00:00:00ANONYMOUSv4_computers28EF7BC39035020E0.272
1999-06-26T00:00:00ANONYMOUSv4_computers28EF7BC39035020E0.272


PRP results:
dateuseridcompidcofactorsres64PRP
2021-03-19T23:04:32ATH5960X
4643120718565636494364231
B35E0EA98D68FAF7no


P-1 factor-bounds graph:
B1 = 4000000, B2 = 150000000 (P-1 stage 2)
B1 = 1000000, B2 = 134343300 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 520300, B2 = 4162400 (P-1 stage 2)
B1 = 520300, B2 = 3642100 (P-1 stage 2)
B1 = 520300, B2 = 2081200 (P-1 stage 2)
B1 = 520300, B2 = 1560900 (P-1 stage 2)
B1 = 520300, B2 = 1040600 (P-1 stage 2)
B1 = 215000, B2 = 6235000 (P-1 stage 2)
B1 = 520300 (P-1 stage 1)
B1 = 215000 (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: 2022-03-10T20:59:51+00:00