is 2 3410881 - 1
has 1026778 decimal digits
takes 0.358 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
Actual26817.474967.6471%10000001146568501.09537.5089%18.570270.0764%2.4294%
PrimeNet2600.045063.3333%140002800000.00432.8488%0.049464.3779%1.0446%
GPU722641.043565.6250%190003200000.00541.8203%1.048966.2507%0.6257%
Difference+4+16.4314+2.0221%+981000+114336850+1.0899+5.6887%+17.5213+3.8257%+3.8257%

Known prime factors (2 factors, 100.5 bits, 0.00294734% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3410881327444577928.28748
24 × 3
-16161.059e-112.437e-64.959e-6
341088155908579913182279484792272.244819562158767519
79 × 874711 × 11860151
2018-10-3187471111860151458.770.22440.2711

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
3410881183069613003426682297928394838331100.530
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-02-18T21:10:22Jocelyn LaroucheManual testing34108837519696-
skipped known factor: 327444577
--0.080--3.551%
2021-03-16T01:10:03Jocelyn LaroucheManual testing34108871628506-
skipped known factor: 327444577
--0.109--4.090%
2022-01-24T14:48:14Jocelyn LaroucheManual testing1000000114656850-
skipped known factor: 327444577
skipped known factor: 5590857991318227948479
--1.095--7.509%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2021-10-10T20:46:08Jocelyn LaroucheManual testing267268--8.763--


ECM factoring results:

Old Calculation Method

Total ECM effort:0.440 GHz-days
Estimated T-Level:0.150
DigitsB1CurvesCompleteFacMiss
20110003 / 1000.03097.030%
25500003 / 2800.01198.932%

New Calculation Method

Total ECM effort:0.440 GHz-days
Estimated T-Level:0.150
DigitsB1CompleteFacMiss
20110000.09790.776%
25500000.00999.129%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.440


Lucas-Lehmer results:
No L-L results for M3410881


PRP results:
dateuseridcompidcofactorsres64PRP
2017-11-05T19:53:21kkmrkkblmbrbkc4.xlarge
327444577
92B2242A258336__no
2017-11-21T10:18:07Oliver KruseGTX-3
327444577
92B2242A258336__no
2018-10-31T06:22:41rucio
327444577
5590857991318227948479
92B2242A258336__no


P-1 factor-bounds graph:
B1 = 1000000, B2 = 114656850 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 341088, B2 = 7162850 (P-1 stage 2)
B1 = 341088, B2 = 3751969 (P-1 stage 2)
B1 = 341088 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-01-24T14:48:14+00:00