is 2 1816583 - 1
has 546846 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
Actual26716.357068.6567%500000150000000.10155.0641%16.458570.2440%1.5872%
PrimeNet2570.010663.1579%80001500000.00122.8751%0.011864.2171%1.0593%
GPU722610.169165.5738%90001300000.00121.5573%0.170366.1099%0.5361%
Difference+6+16.1879+3.0829%+491000+14870000+0.1002+3.5068%+16.2882+4.1341%+4.1341%

Known prime factors (2 factors, 103.4 bits, 0.00569402% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
18165833633167721.7931
1
-111.538e-137.866e-81.601e-7
181658337778501844625368274325272581.6441039823169231060961
19 × 107 × 511472291800817
2020-06-04107511472291800817322,1662,192,0424,094,125

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
18165831372556062113320153771255182300932103.437
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-16T12:37:33alpertronManual testing5000001500000012-
skipped known factor: 3633167
--0.101--5.064%


Trial Factoring results:
No TF results for M1816583


ECM factoring results:

Old Calculation Method

Total ECM effort:17.322 GHz-days
Estimated T-Level:24.482
DigitsB1CurvesCompleteFacMiss
2011000251 / 1002.5108.025%
2550000251 / 2800.89640.737%

New Calculation Method

Total ECM effort:17.322 GHz-days
Estimated T-Level:24.482
DigitsB1CompleteFacMiss
20110008.0970.030%
25500000.73248.105%
302500000.04595.594%
3510000000.00299.794%


ECM Summary

B1B2factorcurvesGHz-days
5000050000001389.52
5000050000001137.798


Lucas-Lehmer results:
No L-L results for M1816583


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-03T22:14:19Oliver KruseGTX-1
3633167
A9D4F8CA1BA56D__no
2017-11-05T21:47:16kkmrkkblmbrbkc4.xlarge
3633167
A9D4F8CA1BA56D__no
2020-06-05T00:57:21CrypticCluecruncher
3633167
3777850184462536827432527
93F1C8EC8263FEEFno
2020-06-05T21:59:35pew10980xe_1
3633167
3777850184462536827432527
93F1C8EC8263FEEFno


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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TF factor-bounds graph:
267
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2100
Last modified: 2021-03-05T18:09:52+00:00