is 2 3435869 - 1
has 1034300 decimal digits
takes 0.361 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
Actual26817.347867.6471%10000001266688501.19507.6235%18.542870.1135%2.4664%
PrimeNet2600.044763.3333%150002800000.00452.8993%0.049264.3964%1.0631%
GPU722641.035965.6250%190003400000.00561.8534%1.041566.2621%0.6371%
Difference+4+16.3119+2.0221%+981000+126328850+1.1894+5.7702%+17.5013+3.8514%+3.8514%

Known prime factors (1 factor, 47.5 bits, 0.00138301% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
34358692016110206600811547.51929339160
23 × 3 × 5 × 244493
-82444938.008e-60.00200.0038

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-01-21T00:59:32Jocelyn LaroucheManual testing90000900001547.5190.0140.7220.0270.820%
2022-04-10T23:56:38Jocelyn LaroucheManual testing1000000126668850-
skipped known factor: 201611020660081
--1.195--7.624%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2021-05-15T12:16:34Jocelyn LaroucheManual testing267268--8.700--


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
50000500000030.441


Lucas-Lehmer results:
No L-L results for M3435869


PRP results:
dateuseridcompidcofactorsres64PRP
2017-11-06T14:03:53Oliver KruseGTX-2
201611020660081
EF9EB3D9DD86B0__no
2017-12-16T10:01:53kkmrkkblmbrbkc4.xlarge
201611020660081
EF9EB3D9DD86B0__no


P-1 factor-bounds graph:
B1 = 1000000, B2 = 126668850 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 90000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
TF factor-bounds graph:
268
240
250
260
270
280
290
2100
Last modified: 2022-04-10T23:56:38+00:00