is 2 27311239 - 1
has 8221503 decimal digits
takes 25.282 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L7EB7E4E7A632243Fdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual274140.083966.2162 %32500080437501.00072.9381 %141.084667.2088 %
Target2708.749264.2857 %200000300000002.44773.9071 %11.196965.6811 %
Difference+4+131.3348+1.9305 %+125000-21956250-1.4470-0.9689 %+129.8877+1.5277 %

Known prime factors:
No known factors for M27311239

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2005-01-20ANONYMOUSv4_computers3250008043750--1.0014.431%


Trial Factoring results:
575859606162636465666768697071727374
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-11-05Jossv4_computers212548.79000e-5
2001-08-18Net_Forcev4_computers212560.000
2004-04-09ANONYMOUSv4_computers212610.006
2004-07-13ANONYMOUSv4_computers212620.011
2004-10-18ANONYMOUSv4_computers212670.547
2011-10-05Carsten KossendeyManual testing2672681.094
2011-12-13ANONYMOUSManual testing2682692.189
2017-04-04ramgeisManual testing2692704.378
2021-02-28mikrManual testing2702718.756
2021-08-22TheJudgerManual testing27127217.51
2021-08-25TheJudgerManual testing27227335.02
2021-09-12TheJudgerManual testing27327470.05


ECM factoring results:
No ECM results for M27311239


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2005-02-23ANONYMOUSv4_computers5B7FA95529938ECF25.28
2011-07-11youlii7-x9807EB7E4E7A632243F25.28
2012-01-03Emmanuel Royerebenier7EB7E4E7A632243F27.16


PRP results:
No PRP results for M27311239


CERT results:
No CERT results for M27311239


P-1 factor-bounds graph:
B1 = 325000, B2 = 8043750 (P-1 stage 2)
B1 = 325000 (P-1 stage 1)
104
105
106
104
105
106
107
TF factor-bounds graph:
274
273
272
271
270
269
268
267
262
261
256
254
this exponent TF target: 70
TF double-checked to: 67
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Last modified: 2024-02-09T03:30:02+00:00