is 2 5470259 - 1
has 1646713 decimal digits
takes 0.864 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L0CA6FC93E67C26EDdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual272174.824268.0556 %80000004000000006.72228.1984 %181.546470.6745 %
Target2662.699865.1515 %3400032500000.04792.1112 %2.747765.8872 %
Difference+6+172.1244+2.9040 %+7966000+396750000+6.6743+6.0872%+178.7987+4.7873 %

Known prime factors (1 factor, 109.1 bits, 0.00199360% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
547025967419960260970910629362441271499133109.05561624102497679644263061805
5 × 72 × 12433 × 27941 × 2695751 × 268588163
2021-10-2526957512685881633.405e+103.93446.2583

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2000-07-03Stephen Woodv4_computers2000020000--0.0050.446%
2010-04-24Squeeky_SquirrelP4_26006000010350006--0.0292.684%
2019-09-19USAFSS6917th_Scty_Sq330000981750012--0.1945.612%
2021-10-25axnManual testing8000000400000000233109.0556.72212.600%


Trial Factoring results:
57585960616263646566676869707172
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-05-01ANONYMOUSv4_computers212620.056
2009-05-05GrunwalderGIMPManual testing2622630.179
2014-12-30snme2pm1Manual testing2632640.359
2014-12-30monstManual testing2642650.683
2015-08-24snme2pm1Manual testing2652661.366
2016-07-02Gordon SpenceManual testing2662672.732
2018-06-29ramgeisManual testing2672685.464
2020-09-07TJAOIManual testing26826910.93
2021-08-18SRBaseManual testing26927021.86
2021-08-23SRBaseManual testing27027143.71
2021-09-18SRBaseManual testing27127287.43


ECM factoring results:
Total ECM effort:2.139 GHz-days
Estimated T-Level:1.731
DigitsB1CompleteFacMiss
20110000.34670.740%
25500000.03296.848%
302500000.00299.798%


ECM Summary

B1B2factorcurvesGHz-days
50000500000092.139


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-12-21Gordon Bowerv4_computers0CA6FC93E67C26ED0.864
2000-08-10Stephen Woodv4_computers0CA6FC93E67C26ED0.864


PRP results:
dateuseridcompidcofactorsres64
2021-10-30LaurVZero818
674199602609709106293624412714991
186DC4C3974A7727


CERT results:
dateuseridcompid
2021-10-31ChuckMaingear_i7-7800


P-1 factor-bounds graph:
B1 = 8000000, B2 = 400000000 (P-1 stage 2)
B1 = 8000000 (P-1 stage 1)
B1 = 330000, B2 = 9817500 (P-1 stage 2)
B1 = 330000 (P-1 stage 1)
B1 = 60000, B2 = 1035000 (P-1 stage 2)
B1 = 60000 (P-1 stage 1)
B1 = 20000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
109
TF factor-bounds graph:
272
271
270
269
268
267
266
265
264
263
262
this exponent TF target: 66
TF double-checked to: 67
ECM T-Level=1.73 ~= -11-bit
250
260
270
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2100
2110
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Last modified: 2024-03-13T02:15:48+00:00