is 2 3435379 - 1
has 1034153 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
Actual26817.350367.6471%10000001266688501.19507.6234%18.545370.1135%2.4664%
PrimeNet2600.044763.3333%150002800000.00452.8992%0.049264.3964%1.0630%
GPU722641.036165.6250%190003400000.00561.8533%1.041666.2621%0.6371%
Difference+4+16.3142+2.0221%+981000+126328850+1.1894+5.7701%+17.5037+3.8514%+3.8514%

Known prime factors (2 factors, 131.4 bits, 0.00382470% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
343537945802209824329991652.024666625281
3 × 7 × 193 × 164477
-1931644770.00020.00140.0025
34353797803700566781545305897112479.369113578451850313245
3 × 5 × 653 × 578701 × 20037211
2022-04-105787012003721163,7570.24960.3105

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
3435379357426730765971205621693938910701627328940131.393
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-01-21T00:59:31Jocelyn LaroucheManual testing90000900001652.0240.0140.7220.0270.820%
2022-04-10T23:56:37Jocelyn LaroucheManual testing10000001266688502479.3691.1950.7222.3907.623%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2021-06-10T14:05:05Jocelyn LaroucheManual testing267268--8.701--


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 M3435379


PRP results:
dateuseridcompidcofactorsres64PRP
2017-11-06T13:52:56Oliver KruseGTX-3
4580220982432999
06C07C5291AA27__no
2017-12-17T10:56:18noknopcr2-srv
4580220982432999
no
2017-12-17T17:41:12kkmrkkblmbrbkc4.xlarge
4580220982432999
06C07C5291AA27__no
2017-12-18T15:26:13kkmrkkblmbrbkc4.xlarge
4580220982432999
FBE70B3655ADBF__no
2022-04-17T03:50:08XZT7040Micro3
4580220982432999
780370056678154530589711
06C07C5291AA27F8no


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)
101
102
103
104
105
106
101
102
103
104
105
106
107
108
109
TF factor-bounds graph:
268
250
260
270
280
290
2100
Last modified: 2022-04-17T03:50:08+00:00