is 2 13278247 - 1
has 3997151 decimal digits
takes 5.891 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LF0F3E469866DA0B5double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual273144.058567.1233 %1600000162678516057.99338.4715 %202.051869.9084 %
Target2684.488964.7059 %90000120000000.47543.1787 %4.964365.8278 %
Difference+5+139.5696+2.4174 %+1510000+1614785160+57.5180+5.2927%+197.0876+4.0806 %

Known prime factors:
No known factors for M13278247

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-09-22ANONYMOUSv4_computers1550001782500--0.1573.239%
2022-01-12Zhang Ruichongv308468000191576910--7.5558.521%
2023-10-18nordisweet16_30.8b1416000001600000--0.9483.634%
2023-11-10nordisweet16_30.8b1416000001626785160--65.5512.382%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-08-17ATHec2-P_1200000780000027--0.420


Trial Factoring results:
5758596061626364656667686970717273
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-05-24ANONYMOUSv4_computers212640.148
2013-05-16lycornManual testing2642650.281
2014-06-01NesowaManual testing2652660.563
2015-07-20NesowaManual testing2662671.126
2017-12-23ANONYMOUSManual testing2672682.251
2018-01-14ramgeisManual testing2682694.502
2021-08-16SRBaseManual testing2692709.004
2021-09-03SRBaseManual testing27027118.01
2021-10-22ANONYMOUSManual testing27127236.02
2022-01-01ANONYMOUSManual testing27227372.04


ECM factoring results:
Total ECM effort:0.621 GHz-days
Estimated T-Level:0.192
DigitsB1CompleteFacMiss
20110000.03896.227%
25500000.00499.645%


ECM Summary

B1B2factorcurvesGHz-days
50000500000010.621


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-12-09ANONYMOUSv4_computersF0F3E469866DA0B55.891


PRP results:
No PRP results for M13278247


CERT results:
No CERT results for M13278247


P-1 factor-bounds graph:
B1 = 1600000, B2 = 1626785160 (P-1 stage 2)
B1 = 468000, B2 = 191576910 (P-1 stage 2)
B1 = 1600000 (P-1 stage 1)
B1 = 468000 (P-1 stage 1)
B1 = 155000, B2 = 1782500 (P-1 stage 2)
B1 = 155000 (P-1 stage 1)
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107
104
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109
1010
TF factor-bounds graph:
273
272
271
270
269
268
267
266
265
264
this exponent TF target: 68
TF double-checked to: 67
ECM T-Level=0.19 ~= -16-bit
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Last modified: 2024-03-13T02:15:48+00:00