is 2 8813053 - 1
has 2652994 decimal digits
takes 2.301 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L7955023711F90FE6double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual27154.246666.1972 %3000000436012500091.013611.2805 %145.260370.0103 %
Target2686.763264.7059 %5500060000000.14352.3018 %6.906765.5183 %
Difference+3+47.4834+1.4913 %+2945000+4354125000+90.8702+8.9788%+138.3536+4.4921 %

Known prime factors (1 factor, 76.1 bits, 0.00086301% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
8813053786176764609840053169692376.0574460297496281028
22 × 33 × 16229 × 2544768679
2022-05-071622925447686792,408.652.49998.042

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-12-25cmarblev4_computers50000887500--0.0362.090%
2012-10-23NesowaWork10500019162506--0.0772.923%
2022-05-07linamentU2K3000000436012500022376.057113.913.885%


Trial Factoring results:
575859606162636465666768697071
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-11-21ANONYMOUSv4_computers212620.035
1998-11-28ANONYMOUSv4_computers212630.111
2006-08-14David Campeauv4_computers212640.223
2014-01-15lycornManual testing2642650.424
2015-05-25VictordeHollanderManual testing2652660.848
2016-02-16snme2pm1Manual testing2662671.696
2018-04-13monstManual testing2672683.392
2019-11-19mnd9Manual testing2682696.783
2020-10-02ANONYMOUSManual testing26927140.70


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)
1999-12-30ANONYMOUSv4_computers7955023711F90FE62.301
2002-12-31cmarblev4_computers7955023711F90FE62.301


PRP results:
dateuseridcompidcofactorsres64
2022-05-13Oliver KruseServer-Phi
78617676460984005316969
325F48BD1D2E4F58


CERT results:
dateuseridcompid
2022-05-13wombatmanrents


P-1 factor-bounds graph:
B1 = 3000000, B2 = 4360125000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 105000, B2 = 1916250 (P-1 stage 2)
B1 = 105000 (P-1 stage 1)
B1 = 50000, B2 = 887500 (P-1 stage 2)
B1 = 50000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
271
269
268
267
266
265
264
263
262
this exponent TF target: 68
TF double-checked to: 67
ECM T-Level=0.58 ~= -15-bit
250
260
270
280
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Last modified: 2024-03-13T02:15:48+00:00