is 2 2637667 - 1
has 794017 decimal digits
takes 0.204 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L402937335482F2E1double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26711.265267.1642 %2000000600000000.57797.6893 %11.843169.6890 %
Target2630.605165.0794 %1300010000000.00751.5733 %0.612665.6288 %
Difference+4+10.6601+2.0848 %+1987000+59000000+0.5704+6.1160%+11.2305+4.0602 %

Known prime factors (1 factor, 67.5 bits, 0.00255980% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
26376672114650192665546271372167.51940085617188704
25 × 23 × 233 × 233751733
2015-12-3023323375173311.2651.42632.6639

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-10-31ANONYMOUSv4_computers2048204800--0.0010.671%
2009-06-21USAFSSP4_260030000420000--0.0062.402%
2011-01-20James Heinrichi7-92018000042750006--0.0455.489%
2019-07-04alpertronManual testing20000006000000012---10.617%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-03-26TDv4_computers212590.015
2016-02-23Mark RoseManual testing2592600.029
2009-01-31Sturle Sundefigaro.ifi2602610.058
2012-06-12Grant McCrackenthumper2612620.116
2013-01-14dbaughManual testing2622630.372
2015-02-23VictordeHollanderManual testing2632640.744
2015-02-23VictordeHollanderManual testing2642651.417


ECM factoring results:
Total ECM effort:1.406 GHz-days
Estimated T-Level:2.885
DigitsB1CompleteFacMiss
20110000.57756.162%
25500000.05394.802%
302500000.00399.664%


ECM Summary

B1B2factorcurvesGHz-days
500005000000121.096
50000500000030.310


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-04-02TDv4_computers402937335482F2E10.204


PRP results:
dateuseridcompidcofactorsres64
2017-09-30alpertronManual testing
211465019266554627137
E92CB02BC2F7D55B
2017-11-13Oliver KruseThreadripper-PC
211465019266554627137
E92CB02BC2F7D55B


CERT results:
No CERT results for M2637667


P-1 factor-bounds graph:
B1 = 2000000, B2 = 60000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 180000, B2 = 4275000 (P-1 stage 2)
B1 = 180000 (P-1 stage 1)
B1 = 30000, B2 = 420000 (P-1 stage 2)
B1 = 30000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
101
102
103
104
105
106
107
101
102
103
104
105
106
107
108
109
TF factor-bounds graph:
265
264
263
262
261
260
259
this exponent TF target: 63
TF double-checked to: 67
ECM T-Level=2.88 ~= -7-bit
250
260
270
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Last modified: 2024-02-29T14:28:04+00:00