is 2 2316553 - 1
has 697352 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-L92B3EE93FFC139E9double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26951.536468.1159%60000001800000001.51648.3019%53.052770.7629%2.6470%
PrimeNet2580.016662.0690%100001900000.00192.9318%0.018563.1810%1.1121%
GPU722620.265264.5161%130002000000.00231.7815%0.267565.1483%0.6321%
Difference+7+51.2712+3.5998%+5987000+179800000+1.5141+6.5204%+52.7853+5.6146%+5.6146%

Known prime factors:
No known factors for M2316553

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-09-14T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.185%
2010-02-19T13:17:00Budannan50000010000000---0.100--3.960%
2018-01-02T19:50:46Sid & AndyHand_In_The_Box600000018000000012---1.516--8.302%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-10T00:00:00ANONYMOUSv4_computers21258--0.017--
2016-02-23T16:29:11Mark RoseManual testing258260--0.050--
2009-01-13T03:32:00Sturle Sundeothello.ifi260261--0.066--
2012-05-24T12:42:00Sebastian HornbostelManual testing261262--0.133--
2013-12-06T02:47:00Jerry HallettManual 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--
2019-04-15T13:43:05TJAOIManual testing267268--12.90--
2021-07-05T07:40:12TJAOIManual testing268269--25.81--


ECM factoring results:

Old Calculation Method

Total ECM effort:16.225 GHz-days
Estimated T-Level:23.232
DigitsB1CurvesCompleteFacMiss
2011000181 / 1001.81016.217%
2550000181 / 2800.64652.331%

New Calculation Method

Total ECM effort:16.225 GHz-days
Estimated T-Level:23.232
DigitsB1CompleteFacMiss
20110007.0060.091%
25500000.64852.285%
302500000.04195.989%
3510000000.00299.809%


ECM Summary

B1B2factorcurvesGHz-days
50000500000016714.79
50000675000070.710
50000700000070.723


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-06-15T00:00:00ANONYMOUSv4_computers92B3EE93FFC139E90.156
2018-05-04T10:44:33kkmrkkblmbrbkold92B3EE93FFC139E90.156


PRP results:
No PRP results for M2316553


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: 2022-06-27T09:56:56+00:00