is 2 2316863 - 1
has 697446 decimal digits
takes 0.157 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L6C9A72BFA6113405double-checked
PRP798BCC3EE5B02673verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26951.529568.1159%60000001800000001.51648.3020%53.045970.7630%2.6470%
PrimeNet2580.016662.0690%100001900000.00192.9319%0.018563.1811%1.1121%
GPU722620.265264.5161%130002000000.00231.7815%0.267465.1483%0.6322%
Difference+7+51.2643+3.5998%+5987000+179800000+1.5141+6.5204%+52.7784+5.6147%+5.6147%

Known prime factors (1 factor, 81.1 bits, 0.00349924% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
231686325427339040260939601760812581.073548744984927053080
23 × 3 × 5 × 1367 × 3345190105627
2021-08-2013673345190105627296,47817,85333,344

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-09-14T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.185%
2010-02-19T13:18:00Budannan50000010000000---0.100--3.960%
2018-01-05T10:37:54Sid & AndyHand_In_The_Box600000018000000012---1.516--8.302%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:11Mark RoseManual testing21260--0.066--
2009-01-13T06:40:00Sturle Sundeothello.ifi260261--0.066--
2012-05-24T12:43:00Sebastian HornbostelManual testing261262--0.133--
2013-01-23T08:26:00dbaughManual testing262263--0.424--
2015-03-03T21:35:00VictordeHollanderManual testing263264--0.847--
2015-03-03T21:35:00VictordeHollanderManual testing264265--1.613--
2015-10-23T09:34:55ramgeisManual testing265266--3.225--
2017-06-04T00:25:30Gordon SpenceManual testing266267--6.451--
2019-04-15T13:43:05TJAOIManual testing267268--12.90--
2021-07-05T07:40:12TJAOIManual testing268269--25.80--


ECM factoring results:

Old Calculation Method

Total ECM effort:14.360 GHz-days
Estimated T-Level:22.893
DigitsB1CurvesCompleteFacMiss
2011000162 / 1001.62019.629%
2550000162 / 2800.57956.012%

New Calculation Method

Total ECM effort:14.360 GHz-days
Estimated T-Level:22.893
DigitsB1CompleteFacMiss
20110005.2330.534%
25500000.47262.349%
302500000.02997.133%
3510000000.00199.867%


ECM Summary

B1B2factorcurvesGHz-days
50000500000015013.29
50000500000050.443
50000520000070.630


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-15T00:00:00ANONYMOUSv4_computers6C9A72BFA61134050.157
2018-05-04T11:39:29kkmrkkblmbrbkold6C9A72BFA61134050.157


PRP results:
dateuseridcompidcofactorsres64PRP
2021-08-22T17:32:04SRJ2877LTOS
2542733904026093960176081
798BCC3EE5B02673no


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: 2021-08-22T17:32:04+00:00