is 2 1800167 - 1
has 541905 decimal digits
takes 0.098 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26716.506268.6567%500000150000000.10155.0585%16.607770.2422%1.5855%
PrimeNet2570.010763.1579%80001500000.00122.8702%0.011964.2153%1.0574%
GPU722610.170665.5738%90001300000.00121.5544%0.171966.1089%0.5351%
Difference+6+16.3356+3.0829%+491000+14870000+0.1002+3.5042%+16.4358+4.1333%+4.1333%

Known prime factors (2 factors, 112.9 bits, 0.00627399% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1800167248423047927.88869
3 × 23
-3231.008e-113.217e-74.803e-7
1800167401620951597040488381271992685.05411155102598732242297
7 × 139 × 11464648097360989
2020-10-06139114646480973609898,118,59949,134,61691,769,779

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
1800167997719005347763143060436854915535334112.942
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-16T12:35:38alpertronManual testing5000001500000012-
skipped known factor: 248423047
--0.101--5.059%


Trial Factoring results:
No TF results for M1800167


ECM factoring results:

Old Calculation Method

Total ECM effort:17.787 GHz-days
Estimated T-Level:24.607
DigitsB1CurvesCompleteFacMiss
2011000258 / 1002.5807.480%
2550000258 / 2800.92139.729%

New Calculation Method

Total ECM effort:17.787 GHz-days
Estimated T-Level:24.607
DigitsB1CompleteFacMiss
20110008.3230.024%
25500000.75247.133%
302500000.04695.474%
3510000000.00299.788%


ECM Summary

B1B2factorcurvesGHz-days
50000500000025217.37
50000500000060.414


Lucas-Lehmer results:
No L-L results for M1800167


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-03T18:35:19Oliver KruseGTX-1
248423047
C987D773876525__no
2017-11-05T11:00:02ATHec2-1xf
248423047
C987D773876525__no
2020-10-12T07:27:58roemer2201ws-rebentrost-o
248423047
40162095159704048838127199
6A185C39852021__no
2020-10-19T13:47:17NesowaLaptop
248423047
40162095159704048838127199
6A185C39852021BCno


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-01-29T12:54:26+00:00