is 2 1818527 - 1
has 547432 decimal digits
takes 0.099 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
Actual26716.339668.6567%500000150000000.10155.0647%16.441070.2442%1.5875%
PrimeNet2570.010663.1579%80001500000.00122.8757%0.011864.2174%1.0595%
GPU722610.168965.5738%90001300000.00121.5576%0.170166.1100%0.5362%
Difference+6+16.1706+3.0829%+491000+14870000+0.1002+3.5071%+16.2709+4.1342%+4.1342%

Known prime factors (2 factors, 107.9 bits, 0.00593537% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
181852787289297826.37924
23 × 3
-884.942e-126.293e-71.281e-6
181852735569541704931112447438892581.557977976728003794072
23 × 103 × 1186864961169653
2020-12-021031186864961169653454,2005,086,6079,500,364

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
181852731048402900356182389648901585603333107.936
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-16T12:37:45alpertronManual testing5000001500000012-
skipped known factor: 87289297
--0.101--5.065%


Trial Factoring results:
No TF results for M1818527


ECM factoring results:

Old Calculation Method

Total ECM effort:19.710 GHz-days
Estimated T-Level:24.607
DigitsB1CurvesCompleteFacMiss
2011000258 / 1002.5807.480%
2550000258 / 2800.92139.729%

New Calculation Method

Total ECM effort:19.710 GHz-days
Estimated T-Level:24.607
DigitsB1CompleteFacMiss
20110008.8080.015%
25500000.79745.052%
302500000.04995.188%
3510000000.00299.773%


ECM Summary

B1B2factorcurvesGHz-days
50000470000070.472
500005000000261.795
50000500000070.483
50000660000021816.96


Lucas-Lehmer results:
No L-L results for M1818527


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-03T22:47:27Oliver KruseGTX-0
87289297
77264DC460322E__no
2017-11-06T02:43:58Chang Chia-Tcheexbpc13
87289297
77264DC460322E__no
2020-12-02T15:15:33mrhx
87289297
3556954170493111244743889
11B72C4DCEBDE558no


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: 2021-03-19T18:34:42+00:00