is 2 2142431 - 1
has 644936 decimal digits
takes 0.141 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
Actual26713.869367.1642%500000150000000.12305.1656%13.992268.8603%1.6962%
PrimeNet2580.017962.0690%90001700000.00172.7319%0.019663.1052%1.0362%
GPU722620.286864.5161%100001500000.00171.4879%0.288465.0441%0.5280%
Difference+5+13.5825+2.6481%+490000+14850000+0.1213+3.6777%+13.7038+3.8163%+3.8163%

Known prime factors (3 factors, 140.0 bits, 0.00653639% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
214243117139449824.0314
22
-441.044e-123.813e-77.761e-7
2142431537607076378685371755.57712546660228
22 × 3 × 43 × 24315233
2015-02-0143243152330.00300.12630.2359
214243115526936544276656011960.429362367248800
25 × 52 × 67 × 79 × 85577
2016-02-0579855770.10300.00050.0008

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
21424319214289067631582586161132479.608
2142431266123137026865987573938492684.460
21424318347390960685941282829853623509573735116.007
2142431143069681653737695634056851857607539442891343140.038
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-16T13:45:43alpertronManual testing5000001500000012-
skipped known factor: 17139449
skipped known factor: 1552693654427665601
--0.123--5.166%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2015-02-01T14:48:00TJAOIManual testing255256*55.577170.0010.3000.002
2022-03-09T10:02:01LordJuliusManual testing2126024.03181.04413e-120.3042.25505e-12
2022-03-09T10:02:01LordJuliusManual testing2126055.577170.0030.3000.006
2016-02-05T12:49:38TJAOIManual testing260261*60.429190.0310.2860.064


ECM factoring results:

Old Calculation Method

Total ECM effort:1.792 GHz-days
Estimated T-Level:1.000
DigitsB1CurvesCompleteFacMiss
201100020 / 1000.20081.791%
255000020 / 2800.07193.094%

New Calculation Method

Total ECM effort:1.792 GHz-days
Estimated T-Level:1.000
DigitsB1CompleteFacMiss
20110000.79245.309%
25500000.07392.943%
302500000.00599.538%


ECM Summary

B1B2factorcurvesGHz-days
500005000000131.109
50000675000070.683


Lucas-Lehmer results:
No L-L results for M2142431


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-08T18:19:05Oliver KruseGTX-0
17139449
53760707637868537
1552693654427665601
098F5B6EDD311EEAno
2017-10-17T23:31:20Oliver KruseGTX-1
17139449
53760707637868537
1552693654427665601
A44D72E50CB599__no
2017-11-18T09:25:05kkmrkkblmbrbkc4.xlarge
17139449
53760707637868537
1552693654427665601
A44D72E50CB599__no


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
TF factor-bounds graph:
267
261
260
256
220
230
240
250
260
270
280
290
2100
Last modified: 2022-05-30T23:51:43+00:00