is 2 3973253 - 1
has 1196069 decimal digits
takes 0.496 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LAFDBB31214441069double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2677.478567.1642 %10000001130976001.28548.2941 %8.763869.8876 %
Target2651.836266.1538 %2000018000000.02121.7013 %1.857466.7297 %
Difference+2+5.6423+1.0103 %+980000+111297600+1.2642+6.5928%+6.9065+3.1579 %

Known prime factors (2 factors, 132.4 bits, 0.00333276% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3973253303189865746974006472064.7173815385853191
3 × 11 × 3221 × 35894987
2009-12-243221358949871.61450.35420.6606
39732532401199227015154077672167.70230217044157711
2267 × 8563 × 1556591
2022-05-268563155659110.6550.01680.0286

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2009-07-27Carsten Kossendeymother20000285000--0.0061.593%
2022-03-04JossManual testing9000090000--0.0141.286%
2022-03-22JossManual testing100000100000--0.0161.361%
2022-05-26JossManual testing10000011309760022167.7021.1947.273%
2022-09-27JossManual testing1000000113097600
skipped known factor: 30318986574697400647
skipped known factor: 240119922701515407767
--1.3579.791%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-08-24ANONYMOUSv4_computers212610.039


ECM factoring results:
Total ECM effort:0.118 GHz-days
DigitsB1CompleteFacMiss


ECM Summary

B1B2factorcurvesGHz-days
10.118


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-10-15ANONYMOUSv4_computersAFDBB312144410690.496


PRP results:
dateuseridcompidcofactorsres64
2017-09-20kkmrkkblmbrbkManual testing
30318986574697400647
5A3640EFAE22E9D8
2018-01-02Oliver KruseGTX-1
30318986574697400647
5A3640EFAE22E9D8
2022-06-01XZT600G2Mini5
30318986574697400647
240119922701515407767
0FA0358E05D0536E


CERT results:
dateuseridcompid
2022-06-01sloopsFal


P-1 factor-bounds graph:
B1 = 1000000, B2 = 113097600 (P-1 stage 2)
B1 = 100000, B2 = 113097600 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 90000 (P-1 stage 1)
B1 = 20000, B2 = 285000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
102
103
104
105
106
102
103
104
105
106
107
108
109
TF factor-bounds graph:
261
this exponent TF target: 65
TF double-checked to: 67
250
260
270
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Last modified: 2024-03-13T02:15:48+00:00