is 2 31747241 - 1
has 9556872 decimal digits
takes 34.944 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L89AD7B7EFD4E9661double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual27360.252365.7534 %39500074062501.24013.3625 %61.492466.9050 %
Target27115.058964.7887 %220000325000003.15803.7004 %18.216966.0917 %
Difference+2+45.1934+0.9647 %+175000-25093750-1.9179-0.3379 %+43.2755+0.8133 %

Known prime factors (1 factor, 75.0 bits, 0.00023616% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
31747241371139325972238650014412374.974584522173079920
24 × 5 × 31 × 83 × 3347 × 848429
2019-12-223347848429132.510.07880.1378

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2006-06-13ANONYMOUSv4_computers475000475000--0.7581.876%
2019-12-22Architects Cubedrdt139500074062501222374.9741.2404.117%


Trial Factoring results:
5758596061626364656667686970717273
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-08-31Net_Forcev4_computers212560.000
2003-08-25ANONYMOUSv4_computers212590.001
2005-11-27marnesv4_computers212680.942
2012-05-29XyzzyManual testing2682691.883
2013-04-08bcp19Manual testing2692703.766
2018-10-28ramgeisManual testing2702717.532
2019-11-29ANONYMOUSManual testing27127345.19


ECM factoring results:
No ECM results for M31747241


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2007-07-24curtiscv4_computers89AD7B7EFD4E966134.94
2014-02-12andrea.biancalanainfo789AD7B7EFD4E966137.57


PRP results:
No PRP results for M31747241


CERT results:
No CERT results for M31747241


P-1 factor-bounds graph:
B1 = 395000, B2 = 7406250 (P-1 stage 2)
B1 = 475000 (P-1 stage 1)
B1 = 395000 (P-1 stage 1)
102
103
104
105
106
102
103
104
105
106
107
TF factor-bounds graph:
273
271
270
269
268
259
256
this exponent TF target: 71
TF double-checked to: 67
250
260
270
280
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Last modified: 2024-03-13T02:15:48+00:00