is 2 2745121 - 1
has 826364 decimal digits
takes 0.212 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L66386933092496CCdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26710.824367.1642%150002250000.00300.9332%10.827267.4706%0.3064%
PrimeNet2590.028062.7119%120002200000.00262.8516%0.030663.7752%1.0633%
GPU722630.581465.0794%140002400000.00291.7085%0.584365.6760%0.5966%
Difference+4+10.2429+2.0848%+1000-15000+0.0000-0.7753%+10.2429+1.7946%+1.7946%

Known prime factors (1 factor, 69.3 bits, 0.00252307% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
27451217074727079508490812732169.261128860022554716
22 × 3 × 17 × 23 × 27463772923
2009-04-03232746377292376.072167.57312.98

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-11-16T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.299%
2003-11-28T00:00:00Team Prime Ribv4_computers15000225000---0.003--0.933%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-02-19T00:00:00ANONYMOUSv4_computers21259--0.028--
2022-03-11T04:28:58LordJuliusManual testing21260--0.056--
2009-01-31T16:49:00Sturle Sundegiacco.ifi260261--0.056--


ECM factoring results:

Old Calculation Method

Total ECM effort:0.312 GHz-days
Estimated T-Level:0.150
DigitsB1CurvesCompleteFacMiss
20110003 / 1000.03097.030%
25500003 / 2800.01198.932%

New Calculation Method

Total ECM effort:0.312 GHz-days
Estimated T-Level:0.150
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
50000500000030.312


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-03-17T00:00:00ANONYMOUSv4_computers66386933092496CC0.212
1999-05-09T00:00:00ANONYMOUSv4_computers66386933092496CC0.212


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-20T10:47:22Oliver KruseGTX-1
707472707950849081273
E3E2E01956DC64__no
2017-12-05T15:33:55kkmrkkblmbrbkc4.xlarge
707472707950849081273
E3E2E01956DC64__no


P-1 factor-bounds graph:
B1 = 15000, B2 = 225000 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
100
101
102
103
104
105
100
101
102
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
267
261
260
259
250
260
270
280
290
2100
Last modified: 2022-03-11T04:28:58+00:00