is 2 6275327 - 1
has 1889062 decimal digits
takes 1.112 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LCE26E4E3B96D3C0Ddouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2674.735065.6716 %16000034800000.08763.8090 %4.822666.9792 %
Target2662.353465.1515 %4000045000000.07272.4351 %2.426166.0001 %
Difference+1+2.3816+0.5201 %+120000-1020000+0.0149+1.3739%+2.3965+0.9791 %

Known prime factors (1 factor, 74.4 bits, 0.00118516% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
6275327244593209257530044574012374.3731948848317048100
22 × 3 × 52 × 13 × 1993 × 250729903
2016-08-0119932507299031,037.23.51086.5564

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-03-05ANONYMOUSv4_computers2500025000--0.0060.543%
2011-05-30markrtiny16000034800006--0.0884.241%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-07-11ANONYMOUSv4_computers212610.024
1998-09-06ANONYMOUSv4_computers212620.049
2016-02-23Mark RoseManual testing2622630.156
2014-09-12NesowaManual testing2632640.313
2014-09-14monstManual testing2642650.595
2015-10-16snme2pm1Manual testing2652661.191
2016-03-25Gordon SpenceManual testing2662672.382


ECM factoring results:
Total ECM effort:1.347 GHz-days
Estimated T-Level:0.962
DigitsB1CompleteFacMiss
20110000.19282.505%
25500000.01898.236%
302500000.00199.888%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.808
50000500000020.539


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-01Phantomasv4_computersCE26E4E3B96D3C0D1.112
2001-04-21ANONYMOUSv4_computersCE26E4E3B96D3C0D1.112


PRP results:
dateuseridcompidcofactorsres64
2017-10-22kkmrkkblmbrbkc4.xlarge
24459320925753004457401
03FA5C3F242636BF
2018-09-26rucio
24459320925753004457401
03FA5C3F242636BF


CERT results:
No CERT results for M6275327


P-1 factor-bounds graph:
B1 = 160000, B2 = 3480000 (P-1 stage 2)
B1 = 160000 (P-1 stage 1)
B1 = 25000 (P-1 stage 1)
102
103
104
105
106
102
103
104
105
106
107
108
109
TF factor-bounds graph:
267
266
265
264
263
262
261
this exponent TF target: 66
TF double-checked to: 67
ECM T-Level=0.96 ~= -13-bit
250
260
270
280
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Last modified: 2024-03-13T02:15:48+00:00