is 2 1627793 - 1
has 490015 decimal digits
takes 0.073 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26718.254168.6567 %500000150000000.08354.9975 %18.337770.2231 %
Target2610.188765.5738 %65003250000.00151.0902 %0.190365.9491 %
Difference+6+18.0654+3.0829 %+493500+14675000+0.0820+3.9073%+18.1474+4.2740 %

Known prime factors (4 factors, 180.2 bits, 0.01107186% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
16277939766759723.2193
3
-136.870e-137.182e-81.318e-7
1627793236746213931134.4637272
23 × 32 × 101
2008-07-1591012.213e-99.075e-71.186e-6
162779357910767721110891652.3631778812408
23 × 17 × 2753 × 4751
2014-08-05275347510.00050.00020.0004
162779313394558533057621322872270.182411433103995951
56359 × 7300220089
2018-11-19563597300220089250.8025.76348.113

11 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-03-17alpertronManual testing5000001500000012
skipped known factor: 9766759
skipped known factor: 23674621393
skipped known factor: 5791076772111089
---8.753%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2008-07-15J FeitsmaManual testing??
34.463
11
2014-08-05TJAOIManual testing??
52.363
16
0.000


ECM factoring results:
Total ECM effort:80.450 GHz-days
Estimated T-Level:25.911
DigitsB1CompleteFacMiss
201100015.9040.000%
25500001.98013.804%
302500000.18283.336%
3510000000.01498.635%


ECM Summary

B1B2factorcurvesGHz-days
50000500000024813.93
50000500000030.168
2500002102041095066.35


Lucas-Lehmer results:
No L-L results for M1627793


PRP results:
dateuseridcompidcofactorsres64
2017-10-02Oliver KruseGTX-0
9766759
23674621393
5791076772111089
EBC310191167DDB7
2017-11-01kkmrkkblmbrbkold
9766759
23674621393
5791076772111089
EBC310191167DDB7
2018-11-22Ducho_YYZPantalaimon
9766759
23674621393
5791076772111089
1339455853305762132287
635899CF07F1BADF
2018-11-30irowikimydesk
9766759
23674621393
5791076772111089
1339455853305762132287
635899CF07F1BADF


CERT results:
No CERT results for M1627793


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
this exponent TF target: 61
TF double-checked to: 67
ECM T-Level=25.91 ~= 69-bit
250
260
270
280
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Last modified: 2024-03-13T02:15:48+00:00