is 2 2315263 - 1
has 696964 decimal digits
takes 0.156 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L739C153323A33A8Cdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26712.833967.1642 %50000005050000003.158210.9766 %15.992170.7685 %
Target2620.265464.5161 %1300010000000.00651.7813 %0.271965.1482 %
Difference+5+12.5686+2.6481 %+4987000+504000000+3.1517+9.1953%+15.7203+5.6202 %

Known prime factors (1 factor, 67.0 bits, 0.00289271% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
23152631449166116851169816492166.97431295928731448
23 × 3 × 1303997030477
2013-10-06813039970304776.37876,959.312,998

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-09-14ANONYMOUSv4_computers2048204800--0.0010.790%
2010-02-16Budannan5000001000000012--0.1027.754%
2018-02-26alpertronManual testing5000001500000012---8.318%
2021-05-07ViliamF35000000505000000--3.15815.467%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2009-01-17Sturle Sundenouchcraft.ifi2602610.066
2012-05-24Sebastian HornbostelManual testing2612620.133
2013-01-23dbaughManual testing2622630.424


ECM factoring results:
Total ECM effort:7.861 GHz-days
Estimated T-Level:21.302
DigitsB1CompleteFacMiss
20110002.7796.207%
25500000.26077.075%
302500000.01798.355%


ECM Summary

B1B2factorcurvesGHz-days
10.089
50000500000090.668
500007000000505.303
500002702353571.802


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-15ANONYMOUSv4_computers739C153323A33A8C0.156


PRP results:
dateuseridcompidcofactorsres64
2017-10-11Oliver KruseGTX-1
144916611685116981649
648E53F5519DA1D9
2017-11-23storm55103570_Ivy_Bridge
144916611685116981649
648E53F5519DA1D9


CERT results:
No CERT results for M2315263


P-1 factor-bounds graph:
B1 = 5000000, B2 = 505000000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000, B2 = 10000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
100
101
102
103
104
105
106
107
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
TF factor-bounds graph:
263
262
261
this exponent TF target: 62
TF double-checked to: 67
ECM T-Level=21.3 ~= 54-bit
250
260
270
JSON version of this page
Last modified: 2024-02-09T03:30:02+00:00