is 2 1828531 - 1
has 550443 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
Actual26716.250268.6567%500000150000000.10155.0681%16.351670.2452%1.5885%
PrimeNet2570.010563.1579%80001500000.00122.8787%0.011764.2185%1.0606%
GPU722610.168065.5738%90001400000.00131.5943%0.169366.1226%0.5489%
Difference+6+16.0822+3.0829%+491000+14860000+0.1002+3.4737%+16.1824+4.1226%+4.1226%

Known prime factors (2 factors, 118.9 bits, 0.00650337% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1828531687527657929.357188
22 × 47
-4474.071e-114.989e-76.404e-7
18285319120637907894271097585350732789.559249397956826935695856
24 × 35 × 72 × 11 × 56659 × 2100433637
2020-06-20566592100433637123,415,5649.006116.813

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
182853162706908111599300114456745449201396136118.916
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-16T12:39:10alpertronManual testing5000001500000012-
skipped known factor: 687527657
--0.101--5.068%


Trial Factoring results:
No TF results for M1828531


ECM factoring results:

Old Calculation Method

Total ECM effort:19.820 GHz-days
Estimated T-Level:24.607
DigitsB1CurvesCompleteFacMiss
2011000258 / 1002.5807.480%
2550000258 / 2800.92139.729%

New Calculation Method

Total ECM effort:19.820 GHz-days
Estimated T-Level:24.607
DigitsB1CompleteFacMiss
20110008.8280.015%
25500000.80044.932%
302500000.04995.171%
3510000000.00299.773%


ECM Summary

B1B2factorcurvesGHz-days
500005000000302.072
50000500000010.069
50000660000022017.13
50000675000070.551


Lucas-Lehmer results:
No L-L results for M1828531


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-04T01:14:09Oliver KruseGTX-0
687527657
35E2447724B291__no
2017-11-06T06:01:24kkmrkkblmbrbkc4.xlarge
687527657
35E2447724B291__no
2020-06-20T07:14:00CrypticCluecruncher
687527657
912063790789427109758535073
7FDEF38E74ABD59Fno
2020-06-21T05:50:56marssystemssystem03
687527657
912063790789427109758535073
7FDEF38E74ABD59Fno


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:
267
220
230
240
250
260
270
280
290
2100
Last modified: 2021-04-16T16:25:15+00:00