is 2 72181471 - 1
has 21728788 decimal digits
takes 192.985 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
Actual27453.003463.5135 %665000136325005.31704.0889 %58.320465.0054 %
Target27453.003463.5135 %5000008500000019.78614.1188 %72.789565.0163 %
Difference---+165000-71367500-14.4691-0.0299 %-14.4691-0.0109 %

Known prime factors (1 factor, 83.5 bits, 0.00011565% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
72181471134853170339970387461499132683.48093412594999602036
22 × 32 × 149 × 223 × 106681 × 732023
2014-09-0510668173202334,4000.54570.8417

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2014-09-05Todd WalkeBigBlackIvy66500013632500622683.4805.3174.089%


Trial Factoring results:
575859606162636465666768697071727374
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2008-09-19Wojciech FlorekManual testing212640.026
2010-05-10symalladSchool_Laptop2642650.052
2010-05-11Kevin BrushMac_Pro2652660.104
2010-05-13ANONYMOUS2662670.207
2010-09-14eon_blue_apocalypse4core_7years2672680.414
2010-09-16HighPriceRanchud3rcd2682690.828
2012-10-03SWL551Manual testing26927211.60
2014-08-26NickOfTimeManual testing27227439.75


ECM factoring results:
No ECM results for M72181471


Lucas-Lehmer results:
No L-L results for M72181471


PRP results:
No PRP results for M72181471


CERT results:
No CERT results for M72181471


P-1 factor-bounds graph:
B1 = 665000, B2 = 13632500 (P-1 stage 2)
B1 = 665000 (P-1 stage 1)
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108
TF factor-bounds graph:
274
272
269
268
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265
264
this exponent TF target: 74
TF double-checked to: 67
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Last modified: 2024-03-13T02:15:48+00:00