is 2 2114977 - 1
has 636672 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-L6C6C716CA59DD062double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26828.182367.6471%25000001250000000.87467.9039%29.056970.2042%2.5572%
PrimeNet2580.018262.0690%90001600000.00162.6813%0.019863.0860%1.0171%
GPU722620.290564.5161%100001400000.00161.4534%0.292165.0319%0.5157%
Difference+6+27.8918+3.1309%+2490000+124860000+0.8730+6.4505%+28.7648+5.1724%+5.1724%

Known prime factors (1 factor, 97.0 bits, 0.00458427% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
21149771537147658880801268138115475833096.95636339583335440557229183
7 × 5191369047920079604169
2020-07-06751913690479200796041697.921e+92.697e+135.036e+13

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-02-27T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.224%
2009-08-02T13:04:00harleeP4_260020000260000---0.003--0.878%
2010-12-30T22:20:00Jocelyn LaroucheManual testing3000030000---0.003--0.352%
2011-01-10T23:58:00Jocelyn LaroucheManual testing5000050000---0.005--0.511%
2011-01-28T08:57:00James Heinrichi7-9201400003010000---0.028--2.769%
2016-07-23T03:38:16Jocelyn LaroucheManual testing186340602000012---0.048--3.384%
2016-11-10T03:36:30Jocelyn Larouchelow 4M223608223608---0.021--1.242%
2017-06-10T03:57:36Jocelyn Larouchelow 4M37268037268006---0.053--3.363%
2017-06-28T04:14:46Jocelyn Larouchelow 4M44721644721606---0.064--3.585%
2017-08-03T23:30:20mikrMSI250000012500000012---0.875--7.904%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1997-11-29T00:00:00ANONYMOUSv4_computers21257--0.009--
1999-01-17T00:00:00ANONYMOUSv4_computers21258--0.018--
2016-02-23T16:29:05Mark RoseManual testing258260--0.054--
2009-01-04T01:48:00Sturle Sundegiacco.ifi260261--0.073--
2012-04-01T20:48:00Sebastian HornbostelManual testing261262--0.145--
2013-09-05T08:28:00ramgeisManual testing262263--0.464--
2015-03-15T12:13:00VictordeHollanderManual testing263264--0.928--
2015-03-15T12:13:00VictordeHollanderManual testing264265--1.767--
2015-12-27T16:49:20ramgeisManual testing265266--3.533--
2016-10-15T17:13:23Gordon SpenceManual testing266267--7.066--
2019-05-13T13:38:20TJAOIManual testing267268--14.13--


ECM factoring results:

Old Calculation Method

Total ECM effort:8.262 GHz-days
Estimated T-Level:4.850
DigitsB1CurvesCompleteFacMiss
201100097 / 1000.97037.724%
255000097 / 2800.34670.677%

New Calculation Method

Total ECM effort:8.262 GHz-days
Estimated T-Level:4.850
DigitsB1CompleteFacMiss
20110003.1294.376%
25500000.28375.367%
302500000.01798.274%


ECM Summary

B1B2factorcurvesGHz-days
500005000000968.177
50000500000010.085


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1997-11-29T00:00:00ANONYMOUSv4_computers6C6C716CA59DD0620.139
1999-07-30T00:00:00ANONYMOUSv4_computersCEBC9AF174778F__0.139
1999-09-07T00:00:00ANONYMOUSv4_computers6C6C716CA59DD0620.139


PRP results:
dateuseridcompidcofactorsres64PRP
2020-07-07T00:12:03pew10980xe_1
153714765888080126813811547583
37BA7E5B2039861Ano
2020-07-07T22:01:55Alexander Pavlicinoldlaptop
153714765888080126813811547583
37BA7E5B2039861Ano
2020-07-07T22:41:57marssystemsSYSTEM01
153714765888080126813811547583
37BA7E5B2039861Ano


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: 2020-07-07T22:41:57+00:00