is 2 1841473 - 1
has 554339 decimal digits
takes 0.100 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LCFD051E8F79541D6double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26716.136068.6567 %10000001883290500.88158.2203 %17.017571.2332 %
Target2610.166865.5738 %90007000000.00371.5966 %0.170566.1234 %
Difference+6+15.9691+3.0829 %+991000+187629050+0.8778+6.6236%+16.8470+5.1098 %

Known prime factors (2 factors, 140.3 bits, 0.00762086% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
18414737594562595380636093292169.364206208904376568
23 × 3 × 8592037682357
2021-05-288859203768235764.83236,82368,776
184147323165438049195442785132270.972628992063668472
23 × 3 × 72 × 23 × 769 × 30240131
2008-10-1176930240131129.760.12970.2421

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2022-04-03JossManual testing1000000188329050
skipped known factor: 2316543804919544278513
--1.06813.264%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2003-01-16ANONYMOUSv4_computers212580.021


ECM factoring results:
Total ECM effort:39.271 GHz-days
Estimated T-Level:25.709
DigitsB1CompleteFacMiss
201100014.9440.000%
25500001.67718.689%
302500000.14286.775%
3510000000.01099.031%


ECM Summary

B1B2factorcurvesGHz-days
10.103
500005000000412.834
50000660000017313.48
500006600000352.727
250000400000004720.12


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-15ANONYMOUSv4_computersCFD051E8F79541D60.100


PRP results:
dateuseridcompidcofactorsres64
2017-10-04Oliver KruseGTX-0
2316543804919544278513
5F1974167FF6F5B1
2017-11-06kkmrkkblmbrbkc4.xlarge
2316543804919544278513
5F1974167FF6F5B1
2021-05-29Peter_JakubOptiPlex
2316543804919544278513
759456259538063609329
42C7CD7149CF5AC1


CERT results:
dateuseridcompid
2021-05-29curtiscjckl323001l


P-1 factor-bounds graph:
B1 = 1000000, B2 = 188329050 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
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104
105
106
107
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109
1010
1011
1012
1013
TF factor-bounds graph:
258
this exponent TF target: 61
TF double-checked to: 67
ECM T-Level=25.71 ~= 69-bit
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260
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280
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Last modified: 2024-03-03T02:29:32+00:00