is 2 31667 - 1
has 9533 decimal digits
takes 0.000 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
Actual267938.324477.6119%20000000050000000000.368612.3710%938.693080.3816%2.7696%
PrimeNet2400.000062.5000%500100000.00004.1604%0.000064.0601%1.5601%
GPU722440.000165.9091%500100000.00001.7867%0.000166.5182%0.6091%
Difference+23+938.3243+11.7028%+199999500+4999990000+0.3686+10.5843%+938.6929+13.8634%+13.8634%

Known prime factors (2 factors, 68.8 bits, 0.21723429% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3166730383219831031.50147973
3 × 15991
-3159911.250e-86.981e-71.300e-6
316671681497433131237.2912654968
23 × 331871
2008-08-2683318719.646e-71.445e-52.697e-5

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
316675108930615436951496792168.792
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-10-09T01:59:41kkmrkkblmbrbkManual testing200000000500000000012-
skipped known factor: 3038321983
skipped known factor: 168149743313
--0.369--12.371%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-08-26T19:59:00ANONYMOUSManual testing??37.291123.86458e-73.91683e-58.67781e-7


ECM factoring results:

Old Calculation Method

Total ECM effort:18.172 GHz-days
Estimated T-Level:34.537
DigitsB1CurvesCompleteFacMiss
20110002288 / 10022.8800.000%
25500002288 / 2808.1710.028%
302500002005 / 6403.1334.349%
3510000001421 / 15660.90740.345%

New Calculation Method

Total ECM effort:18.172 GHz-days
Estimated T-Level:34.537
DigitsB1CompleteFacMiss
2011000300.8090.000%
255000056.5990.000%
302500008.2970.025%
3510000000.99237.085%
4030000000.09890.629%
45110000000.00899.181%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002830.163
250000250000005841.678
10000001000000001,42116.33


Lucas-Lehmer results:
No L-L results for M31667


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T19:42:08Oliver KruseOliver-PC
3038321983
168149743313
C974206CD199FB__no
2017-09-21T20:27:24Oliver KruseManual testing
3038321983
168149743313
C974206CD199FB__no
2017-10-12T22:20:53kkmrkkblmbrbkManual testing
3038321983
168149743313
C974206CD199FB__no
2020-04-17T13:47:49Oliver KruseManual testing
3038321983
168149743313
DD7FCA2D7D0EB8__no


P-1 factor-bounds graph:
B1 = 200000000, B2 = 5000000000 (P-1 stage 2)
B1 = 200000000 (P-1 stage 1)
100
101
102
103
104
105
106
107
108
109
100
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
267
2
230
240
250
260
270
280
290
2100
Last modified: 2020-04-17T13:47:49+00:00