is 2 8286433 - 1
has 2494465 decimal digits
takes 2.164 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L604FE96CF3719A41double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual272115.409668.0556 %3000000445187925092.906310.4608 %208.315971.3972 %
Target2687.193166.1765 %5000055000000.13142.1832 %7.324466.9149 %
Difference+4+108.2165+1.8791 %+2950000+4446379250+92.7750+8.2776%+200.9915+4.4823 %

Known prime factors (1 factor, 74.5 bits, 0.00089850% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
8286433258685652902144733474812374.4541560898717832780
22 × 5 × 47981 × 1626580019
2022-11-22479811626580019817.4933.57062.667

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-09-14ANONYMOUSv4_computers3500035000--0.0130.530%
2011-01-28Carsten Kossendeymother5100001568250012--0.5065.574%
2022-11-22linamentU2K3000000445187925022374.454103.813.844%


Trial Factoring results:
57585960616263646566676869707172
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-09-06ANONYMOUSv4_computers212610.019
1998-09-20ANONYMOUSv4_computers212620.037
1998-10-04ANONYMOUSv4_computers212630.118
2002-09-14ANONYMOUSv4_computers212640.237
2014-01-05David CampeauManual testing2642650.451
2015-06-03VictordeHollanderManual testing2652660.902
2015-12-19snme2pm1Manual testing2662671.804
2018-01-02monstManual testing2672683.607
2020-01-10TJAOIManual testing2682697.214
2021-08-19SRBaseManual testing26927014.43
2021-08-31SRBaseManual testing27027128.86
2021-10-05SRBaseManual testing27127257.72


ECM factoring results:
Total ECM effort:1.191 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000031.191


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-10-29ANONYMOUSv4_computers604FE96CF3719A412.164
2003-02-16ANONYMOUSv4_computers604FE96CF3719A412.164


PRP results:
dateuseridcompidcofactorsres64
2022-11-28Funky Waddlemain
25868565290214473347481
8DBE25DFEF2C16E9


CERT results:
dateuseridcompid
2022-11-28Randall W. AndersonRandy_MSI


P-1 factor-bounds graph:
B1 = 3000000, B2 = 4451879250 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 510000, B2 = 15682500 (P-1 stage 2)
B1 = 510000 (P-1 stage 1)
B1 = 35000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
272
271
270
269
268
267
266
265
264
263
262
261
this exponent TF target: 68
TF double-checked to: 67
ECM T-Level=0.58 ~= -15-bit
250
260
270
280
JSON version of this page
Last modified: 2024-03-13T02:15:48+00:00