is 2 2915431 - 1
has 877633 decimal digits
takes 0.225 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L279E1B33D9DEB2BDdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26940.950068.1159%50000002000000001.74988.5132%42.699770.8303%2.7144%
PrimeNet2590.026362.7119%130002600000.00303.0672%0.029363.8556%1.1437%
GPU722630.547465.0794%160003000000.00351.9109%0.551065.7467%0.6673%
Difference+6+40.4025+3.0366%+4984000+199700000+1.7463+6.6023%+42.1488+5.0836%+5.0836%

Known prime factors:
No known factors for M2915431

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-12-02T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.198%
2009-07-03T00:46:00Carsten Kossendeyleela15000168750---0.003--0.628%
2010-12-24T02:50:00Jocelyn LaroucheManual testing2000020000---0.002--0.229%
2011-01-25T20:10:00markrtiny1050002283750---0.025--2.293%
2015-04-25T17:20:00VictordeHollanderManual testing100000020000000---0.228--5.049%
2020-03-30T16:31:03masserManual testing500000020000000012---1.750--8.513%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-05-23T00:00:00BJBv4_computers21259--0.026--
2016-02-23T16:29:24Mark RoseManual testing259260--0.026--
2009-02-12T22:15:00Sturle Sundekrebs.ifi260261--0.053--
2011-12-20T15:57:00Grant McCrackenthumper261262--0.105--
2013-01-07T13:47:00dbaughManual testing262263--0.337--
2015-04-25T17:15:00VictordeHollanderManual testing263264--0.673--
2015-04-25T17:15:00VictordeHollanderManual testing264265--1.282--
2016-02-22T09:35:53ramgeisManual testing265266--2.563--
2017-11-19T23:57:51Gordon SpenceManual testing266267--5.126--
2018-12-18T01:52:41chuenkitManual testing267268--10.25--
2021-05-31T09:33:25TJAOIManual testing268269--20.51--


ECM factoring results:

Old Calculation Method

Total ECM effort:12.278 GHz-days
Estimated T-Level:22.071
DigitsB1CurvesCompleteFacMiss
2011000116 / 1001.16031.166%
2550000116 / 2800.41466.032%

New Calculation Method

Total ECM effort:12.278 GHz-days
Estimated T-Level:22.071
DigitsB1CompleteFacMiss
20110004.4841.129%
25500000.41566.046%
302500000.02697.416%
3510000000.00199.878%


ECM Summary

B1B2factorcurvesGHz-days
50000500000010911.43
50000675000070.846


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-08-16T00:00:00vidmarv4_computers279E1B33D9DEB2BD0.225
1999-05-16T00:00:00ANONYMOUSv4_computers279E1B33D9DEB2BD0.225


PRP results:
No PRP results for M2915431


P-1 factor-bounds graph:
B1 = 5000000, B2 = 200000000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 1000000, B2 = 20000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 105000, B2 = 2283750 (P-1 stage 2)
B1 = 105000 (P-1 stage 1)
B1 = 15000, B2 = 168750 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
B1 = 15000 (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: 2022-05-28T03:14:30+00:00