is 2 2191619 - 1
has 659744 decimal digits
takes 0.144 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L30B98FC9AFDE35C0double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26827.196767.6471%25000001250000000.87467.9320%28.071470.2133%2.5663%
PrimeNet2580.017562.0690%100001800000.00182.8611%0.019463.1542%1.0852%
GPU722620.280364.5161%110001600000.00181.5704%0.282165.0734%0.5572%
Difference+6+26.9164+3.1309%+2489000+124840000+0.8728+6.3616%+27.7892+5.1399%+5.1399%

Known prime factors (1 factor, 93.7 bits, 0.00427614% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2191619162762520636312134965624486712993.7173713294159165259448965
32 × 5 × 82517647981450209977
2020-03-019825176479814502099771.257e+94.286e+118.005e+11

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-03-16T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.226%
2010-11-04T10:39:00Jocelyn LaroucheManual testing1500015000---0.001--0.199%
2010-11-09T10:50:00Jocelyn LaroucheManual testing3000030000---0.003--0.355%
2011-01-11T23:58:00markrtiny900001620000---0.017--2.206%
2014-06-26T21:22:00ANONYMOUSManual testing119286119286---0.011--0.890%
2014-10-12T23:56:00Jocelyn LaroucheManual testing148572148572---0.014--1.007%
2016-02-16T09:15:59Jocelyn LaroucheManual testing44202744202706---0.063--3.587%
2018-03-08T02:37:34mikrMSI250000012500000012---0.875--7.932%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-29T00:00:00Dry Creek Photov4_computers21258--0.018--
2016-02-23T16:29:08Mark RoseManual testing258260--0.053--
2009-01-02T23:53:00Sturle Sundegigi.ifi260261--0.070--
2009-01-09T09:28:00Sturle Sundegideon.ifi261262--0.140--
2013-01-23T08:20:00dbaughManual testing262263--0.448--
2015-03-28T18:03:00VictordeHollanderManual testing263264--0.896--
2015-03-28T18:03:00VictordeHollanderManual testing264265--1.705--
2016-01-04T09:40:05ramgeisManual testing265266--3.410--
2016-12-01T14:35:15Gordon SpenceManual testing266267--6.819--
2019-04-08T13:40:40TJAOIManual testing267268--13.64--


ECM factoring results:

Old Calculation Method

Total ECM effort:4.535 GHz-days
Estimated T-Level:2.650
DigitsB1CurvesCompleteFacMiss
201100053 / 1000.53058.704%
255000053 / 2800.18982.727%

New Calculation Method

Total ECM effort:4.535 GHz-days
Estimated T-Level:2.650
DigitsB1CompleteFacMiss
20110001.71018.092%
25500000.15585.683%
302500000.01099.053%


ECM Summary

B1B2factorcurvesGHz-days
500005000000514.364
50000500000020.171


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-07T00:00:00Dry Creek Photov4_computers30B98FC9AFDE35C00.144
2018-04-15T04:53:51kkmrkkblmbrbkold30B98FC9AFDE35C00.144


PRP results:
dateuseridcompidcofactorsres64PRP
2020-03-02T06:57:39Jinyuan WangManual testing
16276252063631213496562448671
230951D94F2BFA60no
2020-03-07T00:25:04roemer2201ws-rebentrost-o
16276252063631213496562448671
230951D94F2BFA60no


P-1 factor-bounds graph:
B1 = 2500000, B2 = 125000000 (P-1 stage 2)
B1 = 2500000 (P-1 stage 1)
B1 = 442027, B2 = 4420270 (P-1 stage 2)
B1 = 442027 (P-1 stage 1)
B1 = 90000, B2 = 1620000 (P-1 stage 2)
B1 = 148572 (P-1 stage 1)
B1 = 119286 (P-1 stage 1)
B1 = 90000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
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: 2020-03-07T00:25:04+00:00