is 2 2106617 - 1
has 634155 decimal digits
takes 0.139 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
1 primality tests remaining
ResidueStatus
L-L537E9D9E030EFD47double-checked
PRP744C9A70B73523__verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26956.672368.1159%25000001250000000.87467.2759%57.546970.4358%2.3198%
PrimeNet2580.018262.0690%90001600000.00162.6793%0.019963.0853%1.0163%
GPU722620.291664.5161%100001400000.00161.4522%0.293365.0314%0.5153%
Difference+7+56.3806+3.5998%+2490000+124860000+0.8730+5.8237%+57.2537+5.4044%+5.4044%

Known prime factors (1 factor, 86.8 bits, 0.00411946% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
21066171329678852628841699037165832786.78131559577574586213323
12109 × 27791 × 93781835417
2021-12-26277919378183541714,657,731487.13909.82

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-02-27T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.180%
2009-08-02T00:52:00harleeP4_260020000260000---0.003--0.753%
2010-12-29T20:12:00Jocelyn LaroucheManual testing3000030000---0.003--0.297%
2011-01-10T23:57:00Jocelyn LaroucheManual testing5000050000---0.005--0.437%
2011-01-24T23:16:00James HeinrichQ66001400003010000---0.028--2.466%
2016-07-17T03:53:37Jocelyn LaroucheManual testing186340602000012---0.048--3.031%
2016-11-08T17:01:21Jocelyn Larouchelow 4M223608223608---0.021--1.089%
2017-05-31T03:38:55Jocelyn Larouchelow 4M37268037268006---0.053--3.025%
2017-06-10T03:57:32Jocelyn Larouchelow 4M44721644721606---0.064--3.231%
2017-07-10T02:37:02mikrMSI250000012500000012---0.875--7.276%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-17T00:00:00S00030v4_computers21258--0.018--
2016-02-23T16:29:05Mark RoseManual testing258260--0.055--
2009-01-02T19:33:00Sturle Sundefungo.ifi260261--0.073--
2012-03-29T23:47:00Sebastian HornbostelManual testing261262--0.146--
2013-09-04T10:21:00ramgeisManual testing262263--0.466--
2015-03-15T12:13:00VictordeHollanderManual testing263264--0.932--
2015-03-15T12:13:00VictordeHollanderManual testing264265--1.774--
2015-12-27T16:49:17ramgeisManual testing265266--3.547--
2016-10-01T21:16:26Gordon SpenceManual testing266267--7.095--
2019-05-20T13:24:31TJAOIManual testing267268--14.19--
2021-09-02T11:43:56TJAOIManual testing268269--28.38--


ECM factoring results:

Old Calculation Method

Total ECM effort:16.938 GHz-days
Estimated T-Level:23.464
DigitsB1CurvesCompleteFacMiss
2011000194 / 1001.94014.231%
2550000194 / 2800.69349.953%

New Calculation Method

Total ECM effort:16.938 GHz-days
Estimated T-Level:23.464
DigitsB1CompleteFacMiss
20110007.5570.052%
25500000.70049.639%
302500000.04495.664%
3510000000.00299.792%


ECM Summary

B1B2factorcurvesGHz-days
50000500000016013.62
50000500000050.426
50000515000070.603
500006750000212.043
766202417689010.245


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-01-29T00:00:00S00030v4_computers537E9D9E030EFD470.139
2018-04-02T11:56:18kkmrkkblmbrbkold537E9D9E030EFD470.139


PRP results:
dateuseridcompidcofactorsres64PRP
2021-12-26T22:05:33SRJ2877LTOS
132967885262884169903716583
744C9A70B73523__no


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: 2021-12-26T22:05:33+00:00