is 2 1837741 - 1
has 553216 decimal digits
takes 0.100 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
Actual26716.168768.6567 %500000150000000.10155.0712 %16.270270.2462 %
Target2610.167265.5738 %90007000000.00371.5960 %0.170866.1232 %
Difference+6+16.0016+3.0829 %+491000+14300000+0.0978+3.4752%+16.0994+4.1230 %

Known prime factors (2 factors, 95.8 bits, 0.00521181% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1837741452084287928.752123
3 × 41
-3411.998e-113.988e-74.803e-7
18377411504110261974140123212167.02740922803103760
24 × 32 × 5 × 97 × 585950789
2017-12-159758595078925.2522.51124.6903

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-03-16alpertronManual testing5000001500000012
skipped known factor: 452084287
---8.869%


Trial Factoring results:
5758596061626364656667
No TF results for M1837741


ECM factoring results:
Total ECM effort:79.991 GHz-days
Estimated T-Level:25.877
DigitsB1CompleteFacMiss
201100016.2530.000%
25500001.95614.137%
302500000.17583.910%
3510000000.01398.717%


ECM Summary

B1B2factorcurvesGHz-days
500005000000372.557
50000500000010.069
50000660000022017.14
2500002054016574560.23


Lucas-Lehmer results:
No L-L results for M1837741


PRP results:
dateuseridcompidcofactorsres64
2017-10-04Oliver KruseGTX-2
452084287
C841765DEE1986FE
2017-11-06kkmrkkblmbrbkc4.xlarge
452084287
C841765DEE1986FE
2017-12-20noknopcr2-srv
452084287
150411026197414012321
C9E0FCDB53BC784B
2017-12-21kkmrkkblmbrbkc4.xlarge
452084287
150411026197414012321
C9E0FCDB53BC784B


CERT results:
No CERT results for M1837741


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
TF factor-bounds graph:
this exponent TF target: 61
TF double-checked to: 67
ECM T-Level=25.88 ~= 69-bit
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270
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Last modified: 2024-03-13T02:15:48+00:00