is 2 131843213 - 1
has 39688762 decimal digits
takes 699.501 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
Actual27314.508563.0137 %1335000133500010.27022.7551 %24.778764.0327 %
Target277232.155864.9351 %80000015000000068.69003.9315 %300.845866.3136 %
Difference-4-217.6473-1.9214 %+535000-148665000-58.4197-1.1764 %-276.0670-2.2809 %

Known prime factors (1 factor, 74.2 bits, 0.00005631% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
131843213223266812740841518094872374.24184671333343811
17 × 103 × 139 × 443 × 785293
2020-11-1344378529329.0180.33240.6148

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2020-11-13yphysicsManual testing1335000133500012374.24110.271.799%


Trial Factoring results:
575859606162636465666768697071727374757677
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2010-06-03Torchwood InstituteATH2-630-temp2632640.015
2010-11-15Mr-PlonkLinux-i72642650.028
2012-12-05VictordeHollanderManual testing2652680.397
2012-12-05VictordeHollanderManual testing2682690.453
2013-01-23VictordeHollanderManual testing2692700.907
2015-12-06ANONYMOUSManual testing2702711.814
2015-12-06ANONYMOUSManual testing2712723.627
2015-12-06ANONYMOUSManual testing2722737.255


ECM factoring results:
No ECM results for M131843213


Lucas-Lehmer results:
No L-L results for M131843213


PRP results:
No PRP results for M131843213


CERT results:
No CERT results for M131843213


P-1 factor-bounds graph:
B1 = 1335000 (P-1 stage 1)
101
102
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105
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107
101
102
103
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105
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107
TF factor-bounds graph:
273
272
271
270
269
268
265
264
this exponent TF target: 77
TF double-checked to: 67
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Last modified: 2024-03-13T02:15:48+00:00