is 2 7167619 - 1
has 2157669 decimal digits
takes 1.563 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LCFCE490FA2ABAB60double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2674.145665.6716 %13500029362500.09093.6445 %4.236566.9228 %
Target2674.145665.6716 %4500050000000.09962.3088 %4.245266.4642 %
Difference---+90000-2063750-0.0086+1.3358%-0.0086+0.4586 %

Known prime factors (1 factor, 68.5 bits, 0.00095565% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
71676194165840789498291573272168.49729060143888077
32 × 83 × 151 × 257632241
2017-10-251512576322418.31594.43818.2891

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-02-17ANONYMOUSv4_computers35000481250--0.0191.799%
2011-12-23James Heinrich3930K13500029362506--0.0913.645%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-06-14ANONYMOUSv4_computers212620.043
2005-08-16David Campeauv4_computers212630.137
2014-02-02NesowaManual testing2632640.274
2014-02-05lycornManual testing2642650.521
2015-06-21VictordeHollanderManual testing2652661.043
2016-10-25Gordon SpenceManual testing2662672.085


ECM factoring results:
Total ECM effort:1.989 GHz-days
Estimated T-Level:1.154
DigitsB1CompleteFacMiss
20110000.23179.392%
25500000.02197.887%
302500000.00199.865%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.995
50000500000030.995


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-11-24ANONYMOUSv4_computersCFCE490FA2ABAB601.563
2002-04-20ANONYMOUSv4_computersCFCE490FA2ABAB601.563


PRP results:
dateuseridcompidcofactorsres64
2018-02-16Oliver KruseGTX-5
416584078949829157327
E370566AAA10E913
2019-04-02Luigi MorelliCS50X-C9
416584078949829157327
E370566AAA10E913


CERT results:
No CERT results for M7167619


P-1 factor-bounds graph:
B1 = 135000, B2 = 2936250 (P-1 stage 2)
B1 = 135000 (P-1 stage 1)
B1 = 35000, B2 = 481250 (P-1 stage 2)
B1 = 35000 (P-1 stage 1)
101
102
103
104
105
106
101
102
103
104
105
106
107
108
109
TF factor-bounds graph:
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
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Last modified: 2024-02-09T03:30:02+00:00