is 2 2346677 - 1
has 706421 decimal digits
takes 0.159 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L6D8A749AA72B3F26double-checked
PRP448EFD5F6BBE08CEverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26825.399767.6471%60000001800000001.51648.9751%26.916070.5508%2.9037%
PrimeNet2580.016462.0690%110002000000.00213.0479%0.018463.2251%1.1561%
GPU722620.261864.5161%130002200000.00241.8350%0.264265.1673%0.6511%
Difference+6+25.1379+3.1309%+5987000+179780000+1.5140+7.1400%+26.6519+5.3835%+5.3835%

Known prime factors (1 factor, 75.8 bits, 0.00322925% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2346677648709375502881759606392375.78013821871853324547
33 × 511921179752761
2021-03-04275119211797527614,084.42,732,0665,102,739

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-09-21T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.231%
2010-03-02T08:50:00Budannan50000010000000---0.100--4.380%
2018-01-27T21:29:26Sid & AndyHand_In_The_Box600000018000000012---1.516--8.975%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:12Mark RoseManual testing21260--0.065--
2009-01-14T22:25:00Sturle Sundecelair.ifi260261--0.065--
2012-05-29T09:43:00Sebastian HornbostelManual testing261262--0.131--
2013-12-04T08:58:00Luigi MorelliManual testing262263--0.418--
2015-03-06T11:15:00VictordeHollanderManual testing263264--0.837--
2015-03-06T11:15:00VictordeHollanderManual testing264265--1.592--
2015-10-26T11:50:56ramgeisManual testing265266--3.184--
2017-06-11T03:38:00Gordon SpenceManual testing266267--6.369--
2019-03-04T13:44:34TJAOIManual testing267268--12.74--


ECM factoring results:

Old Calculation Method

Total ECM effort:11.269 GHz-days
Estimated T-Level:22.268
DigitsB1CurvesCompleteFacMiss
2011000127 / 1001.27027.904%
2550000127 / 2800.45463.484%

New Calculation Method

Total ECM effort:11.269 GHz-days
Estimated T-Level:22.268
DigitsB1CompleteFacMiss
20110004.0971.663%
25500000.37069.055%
302500000.02397.746%
3510000000.00199.896%


ECM Summary

B1B2factorcurvesGHz-days
50000500000012611.18
50000500000010.089


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-26T00:00:00ANONYMOUSv4_computers6D8A749AA72B3F260.159
2018-05-09T00:42:55kkmrkkblmbrbkold6D8A749AA72B3F260.159


PRP results:
dateuseridcompidcofactorsres64PRP
2021-03-04T21:26:35SRJ2877LTOS
64870937550288175960639
448EFD5F6BBE08CEno


P-1 factor-bounds graph:
B1 = 6000000, B2 = 180000000 (P-1 stage 2)
B1 = 6000000 (P-1 stage 1)
B1 = 500000, B2 = 10000000 (P-1 stage 2)
B1 = 500000 (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: 2021-03-04T21:26:35+00:00