is 2 3196933 - 1
has 962373 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-L-unknown--unknown-
PRPFDFF1B2E31767B1Dverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26818.644467.6471%40000001500000001.47538.7601%20.119770.4812%2.8342%
PrimeNet2600.048063.3333%130002400000.00312.6570%0.051264.3076%0.9742%
GPU722641.113465.6250%160002600000.00361.6154%1.117066.1803%0.5553%
Difference+4+17.5310+2.0221%+3984000+149740000+1.4717+7.1447%+19.0027+4.3009%+4.3009%

Known prime factors (1 factor, 73.5 bits, 0.00229878% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3196933132696240475557179569372373.4912075367867821396
22 × 23 × 59 × 382344854057
2021-03-21593823448540571,056.32,570.84,801.5

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2004-02-14T00:00:00ANONYMOUSv4_computers2048204800---0.002--0.252%
2013-01-06T18:50:00Squeeky_SquirrelT7500_22002150006235000---0.067--3.691%
2018-07-03T10:27:24Jocelyn Larouchelow 4M43000043000006---0.079--3.731%
2019-11-25T06:02:02mikrMSI400000015000000012---1.475--8.760%
2022-03-10T20:59:54Jocelyn LaroucheManual testing1000000134343300---1.020--7.630%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-07-17T00:00:00ANONYMOUSv4_computers21260--0.048--
2009-04-08T17:58:00S485122USB-A260261--0.048--
2011-10-10T01:29:00Grant McCrackenthumper261262--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--2.337--
2017-05-01T03:37:59Gordon SpenceManual testing266267--4.675--
2018-12-17T13:21:55TJAOIManual testing267268--9.350--


ECM factoring results:

Old Calculation Method

Total ECM effort:4.463 GHz-days
Estimated T-Level:1.900
DigitsB1CurvesCompleteFacMiss
201100038 / 1000.38068.255%
255000038 / 2800.13687.288%

New Calculation Method

Total ECM effort:4.463 GHz-days
Estimated T-Level:1.900
DigitsB1CompleteFacMiss
20110001.22629.352%
25500000.11189.513%
302500000.00799.320%


ECM Summary

B1B2factorcurvesGHz-days
500005000000364.228
50000500000020.235


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-30T00:00:00ANONYMOUSv4_computersDD2E77418CD199__0.272


PRP results:
dateuseridcompidcofactorsres64PRP
2021-03-22T05:48:30Oliver KruseThreadripper-PC
13269624047555717956937
FDFF1B2E31767B1Dno


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 = 430000, B2 = 4300000 (P-1 stage 2)
B1 = 215000, B2 = 6235000 (P-1 stage 2)
B1 = 430000 (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: 2022-03-10T20:59:54+00:00