is 2 12288427 - 1
has 3699186 decimal digits
takes 4.731 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LFC6657CB2CB9F577double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual27277.823966.6667 %1000000225026802068.96978.9192 %146.793769.6397 %
Target2684.850564.7059 %90000110000000.38213.0825 %5.232665.7938 %
Difference+4+72.9734+1.9608 %+910000+2239268020+68.5877+5.8366%+141.5611+3.8459 %

Known prime factors:
No known factors for M12288427

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-02-18timbitv4_computers1500002137500--0.1443.329%
2021-12-22LuminescenceW-229510000002250268020--85.7912.152%


Trial Factoring results:
57585960616263646566676869707172
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-05-10FreeTibetv4_computers212640.160
2013-08-03lycornManual testing2642650.304
2013-09-29NesowaManual testing2652660.608
2015-03-07ThaManual testing2662671.216
2015-07-25ThaManual testing2672682.432
2017-11-03ramgeisManual testing2682694.865
2021-08-01ZacHFXManual testing26927129.19
2021-10-29ANONYMOUSManual testing27127238.92


ECM factoring results:
Total ECM effort:1.171 GHz-days
Estimated T-Level:0.385
DigitsB1CompleteFacMiss
20110000.07792.596%
25500000.00799.291%


ECM Summary

B1B2factorcurvesGHz-days
50000500000021.171


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-04-21timbitv4_computersFC6657CB2CB9F5774.731
2004-07-02ANONYMOUSv4_computersFC6657CB2CB9F5774.731


PRP results:
No PRP results for M12288427


CERT results:
No CERT results for M12288427


P-1 factor-bounds graph:
B1 = 1000000, B2 = 2250268020 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 150000, B2 = 2137500 (P-1 stage 2)
B1 = 150000 (P-1 stage 1)
104
105
106
104
105
106
107
108
109
1010
TF factor-bounds graph:
272
271
269
268
267
266
265
264
this exponent TF target: 68
TF double-checked to: 67
ECM T-Level=0.38 ~= -15-bit
250
260
270
280
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Last modified: 2024-03-13T02:15:48+00:00