is 2 1822529 - 1
has 548636 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
Actual26716.303768.6567%500000150000000.10155.0661%16.405170.2446%1.5879%
PrimeNet2570.010563.1579%80001500000.00122.8769%0.011864.2178%1.0599%
GPU722610.168565.5738%90001300000.00121.5583%0.169866.1102%0.5365%
Difference+6+16.1351+3.0829%+491000+14870000+0.1002+3.5078%+16.2354+4.1343%+4.1343%

Known prime factors (2 factors, 114.6 bits, 0.00628612% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1822529337472409595911444.9409258355
5 × 1851671
-518516712.537e-60.00790.0148
18225299113666914398975247612169.627250028035614220
22 × 5 × 23 × 372 × 397033753
2020-07-04136939703375386.5221.70173.1781

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
18225293075611133856744214901811532293275135114.566
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-16T12:38:20alpertronManual testing5000001500000012-
skipped known factor: 33747240959591
--0.101--5.066%


Trial Factoring results:
No TF results for M1822529


ECM factoring results:

Old Calculation Method

Total ECM effort:19.744 GHz-days
Estimated T-Level:24.607
DigitsB1CurvesCompleteFacMiss
2011000258 / 1002.5807.480%
2550000258 / 2800.92139.729%

New Calculation Method

Total ECM effort:19.744 GHz-days
Estimated T-Level:24.607
DigitsB1CompleteFacMiss
20110008.8120.015%
25500000.79845.010%
302500000.04995.182%
3510000000.00299.773%


ECM Summary

B1B2factorcurvesGHz-days
500005000000372.554
50000500000010.069
50000660000022017.12


Lucas-Lehmer results:
No L-L results for M1822529


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-03T23:43:34Oliver KruseGTX-0
33747240959591
E3E9A1185366AF__no
2017-11-06T01:35:41kkmrkkblmbrbkc4.xlarge
33747240959591
E3E9A1185366AF__no
2020-07-04T05:43:18CrypticClueManual testing
33747240959591
911366691439897524761
5189CE9B7EB82BA8no
2020-07-04T18:14:34pew10980xe_1
33747240959591
911366691439897524761
5189CE9B7EB82BA8no


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:
267
240
250
260
270
280
290
2100
Last modified: 2021-03-26T16:50:38+00:00