is 2 3450197 - 1
has 1038613 decimal digits
takes 0.362 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L6579AF5A98215462double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26817.275867.6471%10000001146568501.09537.5181%18.371170.0794%2.4323%
PrimeNet2600.044563.3333%150002800000.00452.9014%0.049064.3972%1.0639%
GPU722641.031665.6250%190003400000.00561.8548%1.037266.2626%0.6376%
Difference+4+16.2442+2.0221%+981000+114316850+1.0898+5.6633%+17.3339+3.8168%+3.8168%

Known prime factors (1 factor, 61.8 bits, 0.00179059% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
345019739567087933296485371961.779573403314844
22 × 31 × 173 × 3943 × 6779
2009-07-01394367790.14350.00060.0012

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-03-17T19:52:21Jocelyn LaroucheManual testing34501934501976-
skipped known factor: 3956708793329648537
--0.078--3.492%
2022-01-22T17:08:22Jocelyn LaroucheManual testing1000000114656850-
skipped known factor: 3956708793329648537
--1.095--7.518%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-09-10T00:00:00ANONYMOUSv4_computers21260--0.045--
2009-03-22T09:54:00S485122USB-A260261--0.045--
2022-05-12T06:44:58LordJuliusManual testing2126261.779190.1430.7360.291
2022-05-12T06:44:58LordJuliusManual testing262263--0.285--
2022-05-12T06:44:58LordJuliusManual testing263264--0.569--
2022-05-12T06:44:58LordJuliusManual testing264265--1.083--
2021-02-27T11:32:39Jocelyn LaroucheManual testing265266--2.166--
2021-03-17T19:52:25Jocelyn LaroucheManual testing266267--4.332--
2021-06-11T11:25:47Jocelyn LaroucheManual testing267268--8.664--


ECM factoring results:

Old Calculation Method

Total ECM effort:0.441 GHz-days
Estimated T-Level:0.150
DigitsB1CurvesCompleteFacMiss
20110003 / 1000.03097.030%
25500003 / 2800.01198.932%

New Calculation Method

Total ECM effort:0.441 GHz-days
Estimated T-Level:0.150
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
50000500000030.441


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-07-12T00:00:00ANONYMOUSv4_computers6579AF5A982154620.362


PRP results:
dateuseridcompidcofactorsres64PRP
2017-11-06T13:59:13kkmrkkblmbrbkc4.xlarge
3956708793329648537
339AD7994193E6__no
2017-11-22T11:32:06Oliver KruseThreadripper
3956708793329648537
339AD7994193E6__no


P-1 factor-bounds graph:
B1 = 1000000, B2 = 114656850 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 345019, B2 = 3450197 (P-1 stage 2)
B1 = 345019 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-05-12T06:44:58+00:00