is 2 3190753 - 1
has 960513 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-LDF7BC101E8EA0573double-checked
PRPC3EE9EC5AA1CB7ECverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26937.416568.1159%40000001500000001.47538.0963%38.891870.6974%2.5814%
PrimeNet2600.048163.3333%130002400000.00312.6560%0.051364.3072%0.9739%
GPU722641.115565.6250%150002600000.00351.5839%1.119066.1695%0.5445%
Difference+5+36.3010+2.4909%+3985000+149740000+1.4718+6.5124%+37.7728+4.5279%+4.5279%

Known prime factors (1 factor, 74.0 bits, 0.00232017% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3190753192995258816063953397272374.0313024290172508871
7 × 77569 × 5569769537
2022-01-197756955697695372,167.437.45969.946

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2004-02-14T00:00:00ANONYMOUSv4_computers2048204800---0.002--0.203%
2014-08-21T21:46:00Jocelyn LaroucheManual testing8565285652---0.011--0.679%
2014-11-01T00:51:00Jocelyn LaroucheManual testing105768105768---0.013--0.772%
2015-12-06T19:59:42Squeeky_SquirrelP4_260015500039137506---0.044--2.835%
2016-05-17T04:17:55Jocelyn LaroucheManual testing34602962285226---0.082--3.560%
2019-10-29T11:45:18mikrMSI400000015000000012---1.475--8.096%
2022-02-27T01:57:39Jocelyn LaroucheManual testing1000000134343300---1.020--6.996%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-08-02T00:00:00ANONYMOUSv4_computers21260--0.048--
2009-04-08T17:57:00S485122USB-A260261--0.048--
2011-10-20T22:21:00markroldgamer261262--0.096--
2013-01-03T08:47:00dbaughManual testing262263--0.308--
2015-02-15T12:51:00VictordeHollanderManual testing263264--0.615--
2015-02-15T12:51:00VictordeHollanderManual testing264265--1.171--
2015-06-21T21:40:00ThaManual testing265266--2.342--
2017-05-01T03:37:57Gordon SpenceManual testing266267--4.684--
2018-12-24T09:14:06TJAOIManual testing267268--9.368--
2021-07-29T14:04:33MadPooManual testing268269--18.74--


ECM factoring results:

Old Calculation Method

Total ECM effort:9.032 GHz-days
Estimated T-Level:3.750
DigitsB1CurvesCompleteFacMiss
201100075 / 1000.75047.059%
255000075 / 2800.26876.465%

New Calculation Method

Total ECM effort:9.032 GHz-days
Estimated T-Level:3.750
DigitsB1CompleteFacMiss
20110002.4518.625%
25500000.22280.107%
302500000.01498.642%


ECM Summary

B1B2factorcurvesGHz-days
500005000000586.809
50000500000030.352
50000635000070.921
50000675000070.950


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-08-30T00:00:00ANONYMOUSv4_computersDF7BC101E8EA05730.272
1999-06-26T00:00:00ANONYMOUSv4_computersDF7BC101E8EA05730.272


PRP results:
dateuseridcompidcofactorsres64PRP
2022-01-25T05:51:32kutensterra
19299525881606395339727
C3EE9EC5AA1CB7ECno


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 = 346029, B2 = 6228522 (P-1 stage 2)
B1 = 155000, B2 = 3913750 (P-1 stage 2)
B1 = 346029 (P-1 stage 1)
B1 = 155000 (P-1 stage 1)
B1 = 105768 (P-1 stage 1)
B1 = 85652 (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: 2022-02-27T01:57:39+00:00