is 2 6953893 - 1
has 2093331 decimal digits
takes 1.516 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
Actual2674.273065.6716 %56200096094635016.721610.7131 %20.994669.3493 %
Target2674.273065.6716 %4500045000000.09102.2381 %4.364066.4399 %
Difference---+517000+956446350+16.6307+8.4750%+16.6307+2.9093 %

Known prime factors (3 factors, 180.0 bits, 0.00258881% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
695389348816328871032.185351
33 × 13
-27278.853e-118.537e-61.737e-5
695389357533723009729383185912272.285413679956031315
32 × 5 × 223 × 3739 × 11025331
2023-12-30373911025331150.480.19100.3547
6953893554438360281300770525612375.5533986532150273960
23 × 3 × 5 × 7 × 23 × 31 × 241 × 1931 × 14303
2023-12-301931143031,700.60.00080.0012

4 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2023-12-30Stef42Manual testing57300057300012375.5530.1682.564%
2023-12-30Stef42128G56200096094635022272.28519.2010.713%


Trial Factoring results:
5758596061626364656667
No TF results for M6953893


ECM factoring results:
No ECM results for M6953893


Lucas-Lehmer results:
No L-L results for M6953893


PRP results:
dateuseridcompidcofactorsres64
2018-01-23treborDesktop
4881632887
AC0D9F20F3E11122
2019-02-09artorollofirst
4881632887
AC0D9F20F3E11122
2024-01-03Naegi Makoto5950X
4881632887
5753372300972938318591
55443836028130077052561
AC0D9F20F3E11122


CERT results:
dateuseridcompid
2024-01-03slandrumGG2


P-1 factor-bounds graph:
B1 = 562000, B2 = 960946350 (P-1 stage 2)
B1 = 573000 (P-1 stage 1)
B1 = 562000 (P-1 stage 1)
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TF factor-bounds graph:
this exponent TF target: 67
TF double-checked to: 67
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Last modified: 2024-03-13T02:15:48+00:00