is 2 1314161 - 1
has 395602 decimal digits
takes 0.042 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L910943B4F29F056Edouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26722.610668.6567 %40816791510221340.55558.7292 %23.166171.3927 %
Target2600.116965.0000 %55002000000.00070.9756 %0.117665.3415 %
Difference+7+22.4937+3.6567 %+4076179+150822134+0.5548+7.7536%+23.0484+6.0513 %

Known prime factors (1 factor, 67.4 bits, 0.00513180% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
13141612002099959395447337592167.44076174074538639
7 × 11 × 431 × 2295298597
2016-06-06431229529859722.6115.747110.734

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-11-16eteov4_computers20000020000006--0.0145.905%
2014-06-06mikrMSI408167915102213412--0.55614.576%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-11-03ANONYMOUSv4_computers212570.015
2003-06-17ANONYMOUSv4_computers212580.029
2016-02-23Mark RoseManual testing2582600.088
2009-02-15Sturle Sundeghirardelli.ifi2602610.117
2012-09-17AxelssonManual testing2612620.234
2013-01-07dbaughManual testing2622630.747
2015-04-10snme2pm1Manual testing2632641.494
2015-04-10snme2pm1Manual testing2642652.843
2015-10-01ramgeisManual testing2652665.686


ECM factoring results:
Total ECM effort:20.687 GHz-days
Estimated T-Level:25.704
DigitsB1CompleteFacMiss
201100014.6540.000%
25500001.65119.189%
302500000.14186.866%
3510000000.01099.021%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002509.53
50000500000010.039
250000350000005011.12


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2016-06-02MadPooManual testing910943B4F29F056E0.042


PRP results:
dateuseridcompidcofactorsres64
2017-09-30Oliver KruseGTX-0
200209995939544733759
D3A611F511AF67BE
2017-11-04kkmrkkblmbrbkc4.xlarge
200209995939544733759
D3A611F511AF67BE


CERT results:
No CERT results for M1314161


P-1 factor-bounds graph:
B1 = 4081679, B2 = 151022134 (P-1 stage 2)
B1 = 4081679 (P-1 stage 1)
B1 = 200000, B2 = 2000000 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
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105
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107
101
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109
1010
TF factor-bounds graph:
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265
264
263
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261
260
258
257
this exponent TF target: 60
TF double-checked to: 67
ECM T-Level=25.7 ~= 69-bit
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Last modified: 2024-03-03T02:29:32+00:00