is 2 538538081 - 1
has 162116117 decimal digits
takes 14,218.901 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual27628.417760.5263 %4156000138562000439.45517.5811 %467.872763.5188 %
Target2833,637.502763.8554 %30000006500000001,464.37734.0953 %5,101.880065.3356 %
Difference-7-3,609.0850-3.3291 %+1156000-511438000-1,024.9222+3.4858%-4,634.0072-1.8168 %

Known prime factors (1 factor, 78.0 bits, 0.00001448% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
5385380813002487990462611493290572477.991278762830001488
24 × 7 × 279557 × 8903207
2020-09-15279557890320756.83628.69034.684

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2018-06-23tinnderboxkipketer3000030000--1.1490.096%
2020-09-15firejugglerMaison415600013856200022477.991439.54.288%


Trial Factoring results:
575859606162636465666768697071727374757677787980818283
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2014-11-07sasakiManual testing2652660.014
2016-02-21tinnderboxkipketer2662670.028
2016-02-24tinnderboxiridium2672680.056
2016-02-24tinnderboxiridium2682690.111
2016-02-24tinnderboxiridium2692700.222
2017-03-23tinnderboxtest1202702710.444
2017-03-23tinnderboxtest1202712720.888
2017-06-28tinnderboxtest1522722731.776
2017-10-11tinnderboxtest1692732743.552
2018-06-11tinnderboxtest2302742757.105
2018-12-31Niels_Mache_NextcloudManual testing27527614.21


ECM factoring results:
No ECM results for M538538081


Lucas-Lehmer results:
No L-L results for M538538081


PRP results:
No PRP results for M538538081


CERT results:
No CERT results for M538538081


P-1 factor-bounds graph:
B1 = 4156000, B2 = 138562000 (P-1 stage 2)
B1 = 4156000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
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109
TF factor-bounds graph:
276
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273
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271
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266
this exponent TF target: 83
TF double-checked to: 67
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Last modified: 2024-03-13T02:15:48+00:00