is 2 2316493 - 1
has 697334 decimal digits
takes 0.156 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L3915286BAF807FEDdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26825.730767.6471%60000001800000001.51648.9644%27.247070.5473%2.9002%
PrimeNet2580.016662.0690%100001900000.00192.9318%0.018563.1810%1.1121%
GPU722620.265264.5161%130002000000.00231.7815%0.267565.1483%0.6321%
Difference+6+25.4654+3.1309%+5987000+179800000+1.5141+7.1829%+26.9795+5.3990%+5.3990%

Known prime factors (1 factor, 84.9 bits, 0.00366493% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2316493360401015540898121478644872684.8987779022331189822751
3 × 16007 × 161992093692131
2020-08-01160071619920936921312,522,662864,5341,614,708

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-09-14T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.230%
2010-02-19T13:17:00Budannan50000010000000---0.100--4.373%
2018-01-01T01:59:39Sid & AndyHand_In_The_Box600000018000000012---1.516--8.964%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:11Mark RoseManual testing21260--0.066--
2009-01-13T01:56:00Sturle Sundeothello.ifi260261--0.066--
2012-05-24T12:42:00Sebastian HornbostelManual testing261262--0.133--
2013-01-23T08:26:00dbaughManual testing262263--0.424--
2015-03-03T21:35:00VictordeHollanderManual testing263264--0.848--
2015-03-03T21:35:00VictordeHollanderManual testing264265--1.613--
2015-10-23T09:34:55ramgeisManual testing265266--3.226--
2017-06-04T00:25:30Gordon SpenceManual testing266267--6.452--
2019-04-22T13:11:35TJAOIManual testing267268--12.90--


ECM factoring results:

Old Calculation Method

Total ECM effort:7.706 GHz-days
Estimated T-Level:4.350
DigitsB1CurvesCompleteFacMiss
201100087 / 1000.87041.712%
255000087 / 2800.31173.252%

New Calculation Method

Total ECM effort:7.706 GHz-days
Estimated T-Level:4.350
DigitsB1CompleteFacMiss
20110002.8066.042%
25500000.25477.597%
302500000.01698.450%


ECM Summary

B1B2factorcurvesGHz-days
500005000000847.440
50000500000030.266


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-04-23T00:00:00ANONYMOUSv4_computers3915286BAF807FED0.156
2018-05-04T10:23:04kkmrkkblmbrbkold3915286BAF807FED0.156


PRP results:
dateuseridcompidcofactorsres64PRP
2020-08-02T09:05:27ANONYMOUSdory
36040101554089812147864487
3EBEA8666B9E4CEFno
2020-08-02T16:15:18Yuji HASEGAWAvj20a
36040101554089812147864487
3EBEA8666B9E4CEFno


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: 2020-10-11T07:33:47+00:00