is 2 2110351 - 1
has 635279 decimal digits
takes 0.139 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L292F2F2F1DBC0D79double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26828.244167.6471%25000001250000000.87467.9022%29.118770.2037%2.5566%
PrimeNet2580.018262.0690%90001600000.00162.6802%0.019863.0856%1.0166%
GPU722620.291164.5161%100001400000.00161.4528%0.292765.0316%0.5155%
Difference+6+27.9529+3.1309%+2490000+124860000+0.8730+6.4494%+28.8260+5.1720%+5.1720%

Known prime factors (1 factor, 85.9 bits, 0.00407126% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2110351730931771380841540917174972685.91817317777265034146948
22 × 4329444316258536737
2020-07-10443294443162585367375,792,9252.249e+104.200e+10

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-02-27T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.224%
2009-08-02T06:49:00harleeP4_260020000260000---0.003--0.878%
2010-12-30T22:20:00Jocelyn LaroucheManual testing3000030000---0.003--0.352%
2011-01-10T23:57:00Jocelyn LaroucheManual testing5000050000---0.005--0.511%
2011-01-25T16:15:00James HeinrichQ66001400003010000---0.028--2.768%
2016-07-19T03:39:19Jocelyn LaroucheManual testing186340602000012---0.048--3.383%
2016-11-08T17:01:23Jocelyn Larouchelow 4M223608223608---0.021--1.241%
2017-05-31T03:38:56Jocelyn Larouchelow 4M37268037268006---0.053--3.362%
2017-06-10T03:57:34Jocelyn Larouchelow 4M44721644721606---0.064--3.584%
2017-07-21T10:39:10mikrMSI250000012500000012---0.875--7.902%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-17T00:00:00ANONYMOUSv4_computers21258--0.018--
2016-02-23T16:29:05Mark RoseManual testing258260--0.055--
2009-01-03T15:11:00Sturle Sundeghia.ifi260261--0.073--
2012-03-30T08:48:00Sebastian HornbostelManual testing261262--0.146--
2013-08-03T21:10:00blahpyManual testing262263--0.465--
2015-03-15T12:13:00VictordeHollanderManual testing263264--0.930--
2015-03-15T12:13:00VictordeHollanderManual testing264265--1.770--
2015-12-27T16:49:18ramgeisManual testing265266--3.541--
2016-10-05T13:07:55Gordon SpenceManual testing266267--7.082--
2019-05-20T13:24:31TJAOIManual testing267268--14.16--


ECM factoring results:

Old Calculation Method

Total ECM effort:8.600 GHz-days
Estimated T-Level:21.804
DigitsB1CurvesCompleteFacMiss
2011000101 / 1001.01036.237%
2550000101 / 2800.36169.673%

New Calculation Method

Total ECM effort:8.600 GHz-days
Estimated T-Level:21.804
DigitsB1CompleteFacMiss
20110003.2583.846%
25500000.29474.493%
302500000.01898.203%


ECM Summary

B1B2factorcurvesGHz-days
500005000000998.430
50000500000020.170


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-21T00:00:00ANONYMOUSv4_computers292F2F2F1DBC0D790.139
2018-04-02T23:38:25kkmrkkblmbrbkold292F2F2F1DBC0D790.139


PRP results:
dateuseridcompidcofactorsres64PRP
2020-07-11T03:34:53CrypticCluecruncher
73093177138084154091717497
418E8C90EEA98E4Cno
2020-07-11T03:55:05ATHec2-PRPCFDC
73093177138084154091717497
418E8C90EEA98E4Cno


P-1 factor-bounds graph:
B1 = 2500000, B2 = 125000000 (P-1 stage 2)
B1 = 2500000 (P-1 stage 1)
B1 = 447216, B2 = 4472160 (P-1 stage 2)
B1 = 372680, B2 = 3726800 (P-1 stage 2)
B1 = 186340, B2 = 6020000 (P-1 stage 2)
B1 = 447216 (P-1 stage 1)
B1 = 372680 (P-1 stage 1)
B1 = 140000, B2 = 3010000 (P-1 stage 2)
B1 = 223608 (P-1 stage 1)
B1 = 186340 (P-1 stage 1)
B1 = 140000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 20000, B2 = 260000 (P-1 stage 2)
B1 = 30000 (P-1 stage 1)
B1 = 20000 (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: 2020-07-11T03:55:05+00:00