is 2 1813121 - 1
has 545804 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
Actual26716.388368.6567%500000150000000.10155.0629%16.489770.2436%1.5869%
PrimeNet2570.010663.1579%80001500000.00122.8741%0.011864.2168%1.0589%
GPU722610.169465.5738%90001300000.00121.5567%0.170666.1097%0.5359%
Difference+6+16.2188+3.0829%+491000+14870000+0.1002+3.5062%+16.3191+4.1339%+4.1339%

Known prime factors (2 factors, 125.6 bits, 0.00692589% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1813121160134846731133.8994416
26 × 3 × 23
-64641.234e-95.034e-61.025e-5
181312139562039702338343822598946012891.6761090992815767352091300
22 × 3 × 52 × 7 × 17 × 19 × 2729 × 589381551959
2020-05-242729589381551959452,598,1542,525.94,717.8

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
18131216335261164060125510633924529570895047338125.575
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-16T12:37:15alpertronManual testing5000001500000012-
skipped known factor: 16013484673
--0.101--5.063%


Trial Factoring results:
No TF results for M1813121


ECM factoring results:

Old Calculation Method

Total ECM effort:17.318 GHz-days
Estimated T-Level:24.482
DigitsB1CurvesCompleteFacMiss
2011000251 / 1002.5108.025%
2550000251 / 2800.89640.737%

New Calculation Method

Total ECM effort:17.318 GHz-days
Estimated T-Level:24.482
DigitsB1CompleteFacMiss
20110008.0970.030%
25500000.73248.105%
302500000.04595.594%
3510000000.00299.794%


ECM Summary

B1B2factorcurvesGHz-days
50000500000020714.28
500005000000443.036


Lucas-Lehmer results:
No L-L results for M1813121


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-03T21:34:40Oliver KruseGTX-1
16013484673
F310FC0C9158AF__no
2017-11-05T19:32:24kkmrkkblmbrbkc4.xlarge
16013484673
F310FC0C9158AF__no
2020-05-24T12:35:06CrypticCluecruncher
16013484673
3956203970233834382259894601
9DFB720B84310584no
2020-05-25T10:58:10marssystemssystem03
16013484673
3956203970233834382259894601
9DFB720B84310584no


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
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109
1010
1011
1012
TF factor-bounds graph:
267
230
240
250
260
270
280
290
2100
Last modified: 2021-02-19T17:09:58+00:00