is 2 7836079 - 1
has 2358895 decimal digits
takes 1.793 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LE237756D15B6343Bdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2687.606566.1765 %10000019000000.06572.8420 %7.672267.1377 %
Target2673.791965.6716 %5500060000000.12572.5584 %3.917766.5499 %
Difference+1+3.8145+0.5048 %+45000-4100000-0.0600+0.2836%+3.7545+0.5878 %

Known prime factors (1 factor, 78.1 bits, 0.00099609% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
78360793138159220999141063596732478.05420023784988634884
22 × 3 × 4567831 × 365304397
2018-08-1745678313653043977,812.18.036512.334

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-05-18tofercv4_computers40000420000--0.0201.813%
2012-09-05NesowaWork10000019000006--0.0663.190%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-08-09ANONYMOUSv4_computers212620.039
1998-08-16ANONYMOUSv4_computers212630.125
2013-10-04NesowaManual testing2632640.251
2013-12-15David CampeauManual testing2642650.477
2015-06-09VictordeHollanderManual testing2652660.954
2016-08-26Gordon SpenceManual testing2662671.907
2018-08-05ramgeisManual testing2672683.815


ECM factoring results:
Total ECM effort:2.088 GHz-days
Estimated T-Level:1.154
DigitsB1CompleteFacMiss
20110000.23179.392%
25500000.02197.887%
302500000.00199.865%


ECM Summary

B1B2factorcurvesGHz-days
50000500000031.044
50000500000031.044


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-09-30ANONYMOUSv4_computersE237756D15B6343B1.793
2002-05-25tofercv4_computersE237756D15B6343B1.793


PRP results:
dateuseridcompidcofactorsres64
2018-08-19Oliver KruseGTX-6
313815922099914106359673
F46B3671D93F2A42
2019-10-19Bommer3900X
313815922099914106359673
F46B3671D93F2A42


CERT results:
No CERT results for M7836079


P-1 factor-bounds graph:
B1 = 100000, B2 = 1900000 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 40000, B2 = 420000 (P-1 stage 2)
B1 = 40000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
109
TF factor-bounds graph:
268
267
266
265
264
263
262
this exponent TF target: 67
TF double-checked to: 67
ECM T-Level=1.15 ~= -13-bit
250
260
270
280
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Last modified: 2024-02-09T03:30:02+00:00