is 2 131602819 - 1
has 39616397 decimal digits
takes 698.226 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
Actual27314.535063.0137 %13300003657500025.00436.1876 %39.539365.3023 %
Target277232.579964.9351 %80000015000000068.69003.9306 %301.269866.3133 %
Difference-4-218.0449-1.9214 %+530000-113425000-43.6857+2.2570%-261.7305-1.0111 %

Known prime factors (1 factor, 89.6 bits, 0.00006806% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1316028199163210623795997288009573192789.5663481388428235719361
47 × 4441 × 614981 × 27121403
2020-11-1361498127121403952,65315.84121.232

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2020-11-13yphysicsManual testing133000036575000622789.56625.004.335%


Trial Factoring results:
575859606162636465666768697071727374757677
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2010-06-07Richard2632640.015
2010-11-15sasaki3mate_ma22642650.028
2012-09-30VictordeHollanderManual testing2652680.397
2012-09-30VictordeHollanderManual testing2682690.454
2013-01-19VictordeHollanderManual testing2692700.909
2015-12-17SummyManual testing2702711.817
2015-12-20ANONYMOUSManual testing2712723.634
2015-12-20ANONYMOUSManual testing2722737.268


ECM factoring results:
No ECM results for M131602819


Lucas-Lehmer results:
No L-L results for M131602819


PRP results:
No PRP results for M131602819


CERT results:
No CERT results for M131602819


P-1 factor-bounds graph:
B1 = 1330000, B2 = 36575000 (P-1 stage 2)
B1 = 1330000 (P-1 stage 1)
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106
107
108
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