is 2 8294821 - 1
has 2496990 decimal digits
takes 2.166 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L79DC5D0649DF5030double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual272115.292968.0556 %3000000445187925092.906310.4617 %208.199271.3975 %
Target2687.185866.1765 %5000055000000.13142.1835 %7.317166.9150 %
Difference+4+108.1071+1.8791 %+2950000+4446379250+92.7750+8.2782%+200.8820+4.4825 %

Known prime factors (1 factor, 81.8 bits, 0.00098620% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
829482142200019125779260716846872581.804254375706997048283
197 × 1367 × 19433 × 48607249
2022-11-081943348607249114,5421.00961.8727

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-08-31Team Prime Ribv4_computers45000663750--0.0301.871%
2012-12-01NesowaEPC9500016625006--0.0682.752%
2020-02-05Aaron HavilandManual testing300000607500012--0.2234.359%
2022-11-07linamentcolab29999002999900--1.1364.182%
2022-11-08linamentU2K3000000445187925022581.804103.813.845%


Trial Factoring results:
57585960616263646566676869707172
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-10-11Ethan O'Connorv4_computers212610.019
1998-10-18ANONYMOUSv4_computers212630.155
2002-08-31Team Prime Ribv4_computers212640.237
2014-01-06David CampeauManual testing2642650.450
2015-06-03VictordeHollanderManual testing2652660.901
2015-12-20snme2pm1Manual testing2662671.802
2018-01-03monstManual testing2672683.604
2020-01-10TJAOIManual testing2682697.207
2021-08-20SRBaseManual testing26927014.41
2021-08-31SRBaseManual testing27027128.83
2021-10-05SRBaseManual testing27127257.66


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)
1999-11-17ANONYMOUSv4_computers79DC5D0649DF50302.166
2000-08-31ANONYMOUSv4_computers79DC5D0649DF50302.166
2002-09-07Team Prime Ribv4_computers79DC5D0649DF50302.166


PRP results:
dateuseridcompidcofactorsres64
2022-11-13Funky Waddlemain
4220001912577926071684687
2F26AC69B95E78F4


CERT results:
dateuseridcompid
2022-11-14Ben Deloi-0e202525c5a517cad


P-1 factor-bounds graph:
B1 = 3000000, B2 = 4451879250 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 2999900 (P-1 stage 1)
B1 = 300000, B2 = 6075000 (P-1 stage 2)
B1 = 300000 (P-1 stage 1)
B1 = 95000, B2 = 1662500 (P-1 stage 2)
B1 = 95000 (P-1 stage 1)
B1 = 45000, B2 = 663750 (P-1 stage 2)
B1 = 45000 (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
261
this exponent TF target: 68
TF double-checked to: 67
ECM T-Level=0.58 ~= -15-bit
250
260
270
280
290
JSON version of this page
Last modified: 2024-03-13T02:15:48+00:00