is 2 3429301 - 1
has 1032323 decimal digits
takes 0.360 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
Actual26934.813768.1159%34293013503771703.40099.0873%38.214771.0133%2.8974%
PrimeNet2600.044863.3333%150002800000.00452.8983%0.049364.3960%1.0627%
GPU722641.037965.6250%190003200000.00541.8221%1.043366.2513%0.6263%
Difference+5+33.7758+2.4909%+3410301+350057170+3.3956+7.2652%+37.1714+4.7620%+4.7620%

Known prime factors (3 factors, 183.3 bits, 0.00534624% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3429301301778489928.16944
22 × 11
-4111.053e-116.672e-71.240e-6
3429301143994922519026298492063.6432099479201724
22 × 172 × 967 × 1051 × 1787
2017-04-03105117870.83520.00020.0003
342930135678480193193121129576731432891.527520200475157956696271
7 × 23 × 312 × 17299 × 89561 × 2170109
2018-10-31895612170109197,861,6670.03090.0336

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
342930143454570141463830109575181612891.812
3429301107669978425182481796776392205042092737119.696
34293015137519991015457918411759088892217034545744540747155.170
342930115503930200959384662613859376779099405452755888724
450023
56183.339
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2020-09-15T20:23:57Jocelyn LaroucheManual testing34500068586026-
skipped known factor: 301778489
skipped known factor: 14399492251902629849
skipped known factor: 3567848019319312112957673143
--0.107--3.667%
2022-01-04T08:23:57Jocelyn LaroucheManual testing3429301111907950-
skipped known factor: 301778489
skipped known factor: 14399492251902629849
skipped known factor: 3567848019319312112957673143
--1.422--7.706%
2022-08-16T01:28:00Jocelyn LaroucheManual testing3429301350377170-
skipped known factor: 301778489
skipped known factor: 14399492251902629849
skipped known factor: 3567848019319312112957673143
--3.401--9.087%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2022-05-01T06:50:31LordJuliusManual testing2126228.16991.05272e-110.7762.26922e-11
2022-05-01T06:50:31LordJuliusManual testing262263--0.286--
2017-04-03T15:15:04TJAOIManual testing263264*63.643200.3700.7320.751
2022-05-01T06:50:31LordJuliusManual testing26326463.643200.3700.7320.751
2022-05-01T06:50:31LordJuliusManual testing264265--1.090--
2022-05-01T06:50:31LordJuliusManual testing265266--2.179--
2022-05-01T06:50:31LordJuliusManual testing266267--4.358--
2021-04-10T02:19:14Jocelyn LaroucheManual testing267268--8.716--
2021-11-18T11:48:49Jocelyn LaroucheManual testing268269--17.43--


ECM factoring results:

Old Calculation Method

Total ECM effort:0.294 GHz-days
Estimated T-Level:0.100
DigitsB1CurvesCompleteFacMiss
20110002 / 1000.02098.010%
25500002 / 2800.00799.287%

New Calculation Method

Total ECM effort:0.294 GHz-days
Estimated T-Level:0.100
DigitsB1CompleteFacMiss
20110000.07792.596%
25500000.00799.291%


ECM Summary

B1B2factorcurvesGHz-days
50000500000020.294


Lucas-Lehmer results:
No L-L results for M3429301


PRP results:
dateuseridcompidcofactorsres64PRP
2017-11-06T11:18:44Oliver KruseGTX-2
301778489
14399492251902629849
2DCB44E4B692C3__no
2017-12-16T07:57:18kkmrkkblmbrbkc4.xlarge
301778489
14399492251902629849
2DCB44E4B692C3__no
2018-11-04T16:52:04Oliver KruseGTX-0
301778489
14399492251902629849
3567848019319312112957673143
2DCB44E4B692C3__no


P-1 factor-bounds graph:
B1 = 3429301, B2 = 350377170 (P-1 stage 2)
B1 = 3429301, B2 = 111907950 (P-1 stage 2)
B1 = 3429301 (P-1 stage 1)
B1 = 345000, B2 = 6858602 (P-1 stage 2)
B1 = 345000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-08-16T01:28:00+00:00