is 2 1834757 - 1
has 552317 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
Actual26716.195068.6567 %500000150000000.10155.0702 %16.296570.2459 %
Target2610.167465.5738 %90007000000.00371.5954 %0.171166.1230 %
Difference+6+16.0276+3.0829 %+491000+14300000+0.0978+3.4747%+16.1254+4.1229 %

Known prime factors (1 factor, 23.8 bits, 0.00129756% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
183475714678057823.8074
22
-446.096e-133.146e-76.404e-7

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-03-16alpertronManual testing5000001500000012
skipped known factor: 14678057
---8.867%


Trial Factoring results:
5758596061626364656667
No TF results for M1834757


ECM factoring results:
Total ECM effort:38.975 GHz-days
Estimated T-Level:25.703
DigitsB1CompleteFacMiss
201100015.1120.000%
25500001.68018.639%
302500000.14186.891%
3510000000.01099.050%


ECM Summary

B1B2factorcurvesGHz-days
500005000000432.971
50000660000021516.75
250000400000004519.26


Lucas-Lehmer results:
No L-L results for M1834757


PRP results:
dateuseridcompidcofactorsres64
2017-10-04Oliver KruseGTX-1
14678057
87847612CF7FB295
2017-11-06kkmrkkblmbrbkold
14678057
87847612CF7FB295


CERT results:
No CERT results for M1834757


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
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106
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105
106
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108
TF factor-bounds graph:
this exponent TF target: 61
TF double-checked to: 67
ECM T-Level=25.7 ~= 69-bit
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Last modified: 2024-03-13T02:15:48+00:00