is 2 1610131 - 1
has 484698 decimal digits
takes 0.072 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L400EED1710F8FC9Fdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26718.454368.6567 %500000150000000.08354.9909 %18.537970.2210 %
Target2610.190865.5738 %65003000000.00151.0578 %0.192265.9379 %
Difference+6+18.2636+3.0829 %+493500+14700000+0.0821+3.9331%+18.3457+4.2831 %

Known prime factors (2 factors, 160.8 bits, 0.00998856% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
161013114623816651896230946184972580.275454118846599942208
26 × 991 × 1861 × 3847419347
2019-09-2318613847419347152,07913.57625.357
161013117751857103131351272526892580.554551255056362847224
23 × 33 × 171131 × 14913176119
2008-04-0517113114913176119152,07952.63498.286

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-03-17alpertronManual testing5000001500000012---8.743%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-01-10ANONYMOUSv4_computers212570.012
2003-07-30ANONYMOUSv4_computers212580.024


ECM factoring results:
Total ECM effort:31.344 GHz-days
Estimated T-Level:25.715
DigitsB1CompleteFacMiss
201100014.5380.000%
25500001.66418.942%
302500000.14386.682%
3510000000.01099.008%


ECM Summary

B1B2factorcurvesGHz-days
10.127
500005000000844.712
5000050000001649.201
250000400000005017.30


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-01-29ANONYMOUSv4_computers400EED1710F8FC9F0.072


PRP results:
dateuseridcompidcofactorsres64
2017-10-02Oliver KruseGTX-1
1775185710313135127252689
E9DD4F61D4D963A3
2017-11-01kkmrkkblmbrbkc4.xlarge
1775185710313135127252689
E9DD4F61D4D963A3
2019-09-24mnd975211backdoorb
1775185710313135127252689
1462381665189623094618497
9FB1D09EF80E3A7F
2019-09-24ATHec2-PRPCFDC
1775185710313135127252689
1462381665189623094618497
9FB1D09EF80E3A7F


CERT results:
No CERT results for M1610131


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
102
103
104
105
106
102
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
258
257
this exponent TF target: 61
TF double-checked to: 67
ECM T-Level=25.71 ~= 69-bit
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Last modified: 2024-03-03T02:29:32+00:00