is 2 9697297 - 1
has 2919178 decimal digits
takes 2.828 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L08BC63B75A68B213double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual273197.255467.1233 %2000000429855855099.84579.3958 %297.101170.2123 %
Target2686.146564.7059 %6500075000000.19882.5555 %6.345365.6078 %
Difference+5+191.1089+2.4174 %+1935000+4291058550+99.6469+6.8403%+290.7558+4.6045 %

Known prime factors (1 factor, 78.1 bits, 0.00080558% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
96972973282974945013667116380892478.11916927268212026852
22 × 3 × 67 × 828361 × 25416233
2022-10-01828361254162336,821.00.91691.0938

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2000-07-03ANONYMOUSv4_computers1150002070000--0.0943.065%
2020-09-04storm55107700_Kaby_Lake34500099720006--0.3684.988%
2022-10-01ThaZ-1702000000429855855022478.119115.813.517%


Trial Factoring results:
5758596061626364656667686970717273
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-06-06ANONYMOUSv4_computers212640.202
2013-08-28NesowaManual testing2642650.385
2015-05-02VictordeHollanderManual testing2652660.771
2016-10-13snme2pm1Manual testing2662684.624
2019-09-13TJAOIManual testing2682696.165
2021-05-24ANONYMOUSManual testing26927136.99
2021-05-26ANONYMOUSManual testing27127249.32
2021-05-28ANONYMOUSManual testing27227398.64


ECM factoring results:
Total ECM effort:1.331 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000031.331


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2000-07-25Stephan Gruppv4_computers08BC63B75A68B2132.828
2000-08-10ANONYMOUSv4_computers08BC63B75A68B2132.828


PRP results:
dateuseridcompidcofactorsres64
2022-10-07Oliver KruseServer-Phi
328297494501366711638089
FFAF2F273497CEDA


CERT results:
dateuseridcompid
2022-10-07Delling


P-1 factor-bounds graph:
B1 = 2000000, B2 = 4298558550 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 345000, B2 = 9972000 (P-1 stage 2)
B1 = 345000 (P-1 stage 1)
B1 = 115000, B2 = 2070000 (P-1 stage 2)
B1 = 115000 (P-1 stage 1)
104
105
106
107
104
105
106
107
108
109
1010
TF factor-bounds graph:
273
272
271
269
268
266
265
264
this exponent TF target: 68
TF double-checked to: 67
ECM T-Level=0.58 ~= -15-bit
250
260
270
280
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Last modified: 2024-03-13T02:15:48+00:00