is 2 2592913 - 1
has 780545 decimal digits
takes 0.180 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LDD97F224C67C474Cdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26711.459767.1642 %3600003222172801.79988.0390 %13.259569.8038 %
Target2630.615565.0794 %1200010000000.00661.5295 %0.622265.6135 %
Difference+4+10.8441+2.0848 %+348000+321217280+1.7932+6.5095%+12.6373+4.1904 %

Known prime factors (1 factor, 66.9 bits, 0.00257961% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
25929131364692209782883656172166.88726315811787416
23 × 3 × 1096492157809
2012-11-13810964921578095.69576,008.311,222

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-10-31ANONYMOUSv4_computers2048204800--0.0010.668%
2003-11-08Team Prime Ribv4_computers15000206250--0.0031.650%
2010-11-15JossManual testing2000020000--0.0020.627%
2011-01-15JossManual testing5000050000--0.0051.137%
2011-02-23James Heinrichi7-920300000800000012--0.0726.543%
2023-01-28USAFSS6917th_Scty_Sq360000322217280--2.20911.333%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1997-11-29ANONYMOUSv4_computers212580.015
1999-03-26ANONYMOUSv4_computers212590.015
2022-03-11LordJuliusManual testing21260
2009-01-29Sturle Sundegigi.ifi2602610.059
2012-06-23Sebastian HornbostelManual testing2612620.118


ECM factoring results:
Total ECM effort:0.673 GHz-days
Estimated T-Level:1.154
DigitsB1CompleteFacMiss
20110000.23179.392%
25500000.02197.887%
302500000.00199.865%


ECM Summary

B1B2factorcurvesGHz-days
10.277
50000500000060.395


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1997-11-29ANONYMOUSv4_computersDD97F224C67C474C0.180
1999-04-02ANONYMOUSv4_computersDD97F224C67C474C0.180


PRP results:
dateuseridcompidcofactorsres64
2017-10-15Oliver KruseGTX-3
136469220978288365617
27D0D1CFA32AFCAA
2017-12-02kkmrkkblmbrbkc4.xlarge
136469220978288365617
27D0D1CFA32AFCAA


CERT results:
No CERT results for M2592913


P-1 factor-bounds graph:
B1 = 360000, B2 = 322217280 (P-1 stage 2)
B1 = 300000, B2 = 8000000 (P-1 stage 2)
B1 = 360000 (P-1 stage 1)
B1 = 300000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 15000, B2 = 206250 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
B1 = 15000 (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
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
TF factor-bounds graph:
262
261
260
259
258
this exponent TF target: 63
TF double-checked to: 67
ECM T-Level=1.15 ~= -13-bit
250
260
270
JSON version of this page
Last modified: 2024-02-29T14:28:04+00:00