is 2 3494417 - 1
has 1051925 decimal digits
takes 0.367 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26934.165068.1159%10000001146568501.09536.9023%35.260370.3167%2.2007%
PrimeNet2600.044063.3333%150003000000.00462.9596%0.048664.4185%1.0852%
GPU722641.018665.6250%190003600000.00571.8882%1.024366.2741%0.6491%
Difference+5+33.1464+2.4909%+981000+114296850+1.0896+5.0141%+34.2360+4.0426%+4.0426%

Known prime factors (1 factor, 27.3 bits, 0.00078186% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3494417167732017927.32224
23 × 3
-885.143e-121.218e-62.479e-6

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2020-11-24T09:30:53Jocelyn LaroucheManual testing34944134944176-
skipped known factor: 167732017
--0.079--3.162%
2021-12-23T11:28:04Jocelyn LaroucheManual testing749441129752700-
skipped known factor: 167732017
--1.184--6.789%
2022-01-22T13:05:01Jocelyn LaroucheManual testing1000000114656850-
skipped known factor: 167732017
--1.095--6.902%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2021-02-21T11:36:47Jocelyn LaroucheManual testing265266--2.138--
2021-02-23T01:24:33Jocelyn LaroucheManual testing266267--4.277--
2021-04-04T08:03:16Jocelyn LaroucheManual testing267268--8.554--
2021-12-18T19:15:40Jocelyn LaroucheManual testing268269--17.11--


ECM factoring results:

Old Calculation Method

Total ECM effort:0.442 GHz-days
Estimated T-Level:0.150
DigitsB1CurvesCompleteFacMiss
20110003 / 1000.03097.030%
25500003 / 2800.01198.932%

New Calculation Method

Total ECM effort:0.442 GHz-days
Estimated T-Level:0.150
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.442


Lucas-Lehmer results:
No L-L results for M3494417


PRP results:
dateuseridcompidcofactorsres64PRP
2017-11-07T14:46:11Oliver KruseGTX-2
167732017
5884CC829CF20A__no
2017-12-17T00:36:49kkmrkkblmbrbkc4.xlarge
167732017
5884CC829CF20A__no


P-1 factor-bounds graph:
B1 = 749441, B2 = 129752700 (P-1 stage 2)
B1 = 1000000, B2 = 114656850 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 749441 (P-1 stage 1)
B1 = 349441, B2 = 3494417 (P-1 stage 2)
B1 = 349441 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-01-22T13:05:01+00:00