is 2 7875467 - 1
has 2370752 decimal digits
takes 1.802 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L06EE1E1E73E7FCCFdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2687.568466.1765 %10000019000000.06572.8441 %7.634167.1384 %
Target2673.773065.6716 %5500060000000.12572.5604 %3.898766.5506 %
Difference+1+3.7955+0.5048 %+45000-4100000-0.0600+0.2837%+3.7355+0.5879 %

Known prime factors (1 factor, 74.0 bits, 0.00093987% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
7875467191408554818083944783272374.0191215220347047889
32 × 7 × 13 × 561961 × 2640371
2018-09-095619612640371485.800.22400.3795

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-06-23lettpv4_computers45000686250--0.0272.131%
2012-10-08NesowaWork10000019000006--0.0663.192%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-08-30Tom 7v4_computers212630.125
2013-10-05NesowaManual testing2632640.249
2013-12-18David CampeauManual testing2642650.474
2015-06-09VictordeHollanderManual testing2652660.949
2016-08-31Gordon SpenceManual testing2662671.898
2018-08-05ramgeisManual testing2672683.795


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)
1999-08-31netconxv4_computers06EE1E1E73E7FCCF1.802
2002-06-29lettpv4_computers06EE1E1E73E7FCCF1.802


PRP results:
dateuseridcompidcofactorsres64
2018-09-15Oliver KruseGTX-3
19140855481808394478327
3F92D2DAB0C36BD5
2019-11-01marssystemssystem11
19140855481808394478327
3F92D2DAB0C36BD5


CERT results:
No CERT results for M7875467


P-1 factor-bounds graph:
B1 = 100000, B2 = 1900000 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 45000, B2 = 686250 (P-1 stage 2)
B1 = 45000 (P-1 stage 1)
103
104
105
106
103
104
105
106
107
TF factor-bounds graph:
268
267
266
265
264
263
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