is 2 2431469 - 1
has 731946 decimal digits
takes 0.164 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
Actual26712.220667.1642%2000000600000000.50557.6254%12.726069.6681%2.5039%
PrimeNet2590.031662.7119%100001800000.00192.5247%0.033563.6533%0.9414%
GPU722630.656465.0794%100001500000.00171.3056%0.658165.5353%0.4559%
Difference+4+11.5642+2.0848%+1990000+59850000+0.5037+6.3199%+12.0679+4.1328%+4.1328%

Known prime factors (3 factors, 129.1 bits, 0.00530908% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2431469481430863928.84399
32 × 11
-9111.502e-118.923e-71.794e-6
2431469187903924331134.1293864
23 × 3 × 7 × 23
2008-07-148231.729e-98.637e-71.595e-6
2431469800019667826337690172066.11716451364747532
22 × 11 × 13 × 53 × 542662777
2018-02-22535426627779.17652.89615.4092

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
243146990462748451278596791962.972
2431469385154159098607088307969716712994.959
2431469150326835125751892914730664836131100.246
243146972371977966649447329822369384607376554339129.089
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2018-09-28T17:00:22alpertronManual testing20000006000000012-
skipped known factor: 481430863
skipped known factor: 18790392433
--0.505--7.625%


Trial Factoring results:
No TF results for M2431469


ECM factoring results:

Old Calculation Method

Total ECM effort:0.446 GHz-days
Estimated T-Level:0.250
DigitsB1CurvesCompleteFacMiss
20110005 / 1000.05095.099%
25500005 / 2800.01898.227%

New Calculation Method

Total ECM effort:0.446 GHz-days
Estimated T-Level:0.250
DigitsB1CompleteFacMiss
20110000.19282.505%
25500000.01898.236%
302500000.00199.888%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
50000500000030.268
50000500000020.178


Lucas-Lehmer results:
No L-L results for M2431469


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-13T09:58:20Oliver KruseGTX-303E751982939CD__no
2017-11-27T16:22:41kkmrkkblmbrbkc4.xlarge
481430863
18790392433
03E751982939CD__no
2018-02-25T10:28:25Oliver KruseGTX-2
481430863
18790392433
80001966782633769017
03E751982939CD__no
2018-03-07T13:54:30AdolfNorManual testing
481430863
18790392433
80001966782633769017
03E751982939CD__no


P-1 factor-bounds graph:
B1 = 2000000, B2 = 60000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
100
101
102
103
104
105
106
107
100
101
102
103
104
105
106
107
108
109
TF factor-bounds graph:
267
220
230
240
250
260
270
280
290
2100
Last modified: 2019-03-29T08:16:23+00:00