is 2 1859531 - 1
has 559775 decimal digits
takes 0.101 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
Actual26715.979368.6567%500000150000000.10155.0784%16.080770.2484%1.5917%
PrimeNet2570.010363.1579%90001600000.00143.0260%0.011764.2727%1.1148%
GPU722610.165265.5738%90001500000.00131.6327%0.166566.1358%0.5621%
Difference+6+15.8141+3.0829%+491000+14850000+0.1002+3.4457%+15.9142+4.1126%+4.1126%

Known prime factors (3 factors, 176.8 bits, 0.00950643% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1859531371906201928.470100
22 × 52
-25251.965e-111.967e-64.002e-6
185953111844790579516867462092270.005318488655997584
24 × 32 × 587 × 3767848003
2020-09-305873767848003207.6616.14830.160
18595313720685588012767684449832478.300100043655846898161
3 × 283 × 1787 × 65941270547
2021-07-2317876594127054735,208282.61527.83

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
18595314405151066068706593246403420093098.475
185953113837460421532795690193030503958333106.770
185953144070741602237807317597989741729919590031944745148.305
185953116390182084540916018057868810083745562764258022019
0847
54176.775
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-16T12:36:49alpertronManual testing5000001500000012-
skipped known factor: 371906201
--0.101--5.078%


Trial Factoring results:
No TF results for M1859531


ECM factoring results:

Old Calculation Method

Total ECM effort:19.769 GHz-days
Estimated T-Level:24.607
DigitsB1CurvesCompleteFacMiss
2011000258 / 1002.5807.480%
2550000258 / 2800.92139.729%

New Calculation Method

Total ECM effort:19.769 GHz-days
Estimated T-Level:24.607
DigitsB1CompleteFacMiss
20110008.8050.015%
25500000.79845.038%
302500000.04995.186%
3510000000.00299.773%


ECM Summary

B1B2factorcurvesGHz-days
500005000000402.768
50000500000010.069
50000660000020015.61
500006600000171.326


Lucas-Lehmer results:
No L-L results for M1859531


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-04T08:19:37Oliver KruseGTX-2
371906201
DDF23713F811CC__no
2017-11-07T07:02:29kkmrkkblmbrbkc4.xlarge
371906201
DDF23713F811CC__no
2020-09-30T05:48:46SRJ2877
371906201
1184479057951686746209
F5DEAADC93C2039Eno
2021-07-23T18:42:32GURA LOVE
371906201
1184479057951686746209
372068558801276768444983
F5DEAADC93C2039Eno


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
1011
TF factor-bounds graph:
267
220
230
240
250
260
270
280
290
2100
Last modified: 2021-07-23T18:42:32+00:00