is 2 9301693 - 1
has 2800089 decimal digits
takes 2.571 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
Actual2673.194564.1791 %1000000760000002.03848.5521 %5.232867.2426 %
Target2686.408064.7059 %6000070000000.17562.4557 %6.583565.5726 %
Difference-1-3.2135-0.5268 %+940000+69000000+1.8628+6.0964%-1.3507+1.6699 %

Known prime factors (2 factors, 138.9 bits, 0.00149299% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
93016933493715890811238.34618780
22 × 3 × 5 × 313
-53134.192e-98.729e-61.290e-5
9301693182749840180456570430338453831131100.52898234719303494842514335
5 × 29 × 109 × 265921 × 672473 × 34757059
2021-04-04672473347570592.031e+101.01371.4174

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2021-04-04ViliamF3100000076000000231100.5282.0387.858%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2019-09-18mnd9Manual testing266267


ECM factoring results:
No ECM results for M9301693


Lucas-Lehmer results:
No L-L results for M9301693


PRP results:
dateuseridcompidcofactorsres64
2019-08-24mnd9eileen
349371589081
CD0C944AAFE6EDA2
2020-11-12marssystemsSystem01
349371589081
CD0C944AAFE6EDA2
2021-04-06Joe S.11600k
349371589081
1827498401804565704303384538311
CD0C944AAFE6EDA2


CERT results:
dateuseridcompid
2020-11-12nichkopen
2021-04-06Ben Deloi-0d4155a96940bef7a


P-1 factor-bounds graph:
B1 = 1000000, B2 = 76000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
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TF factor-bounds graph:
267
this exponent TF target: 68
TF double-checked to: 67
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Last modified: 2024-03-13T02:15:48+00:00