is 2 3435577 - 1
has 1034212 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
Actual26817.349367.6471%10000001266688501.19507.6235%18.544370.1135%2.4664%
PrimeNet2600.044763.3333%150002800000.00452.8992%0.049264.3964%1.0631%
GPU722641.036065.6250%190003400000.00561.8533%1.041666.2621%0.6371%
Difference+4+16.3133+2.0221%+981000+126328850+1.1894+5.7701%+17.5027+3.8514%+3.8514%

Known prime factors (1 factor, 42.4 bits, 0.00123495% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
343557759150947612871342.428860859
32 × 95651
-9956512.273e-70.00080.0015

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-01-21T00:59:31Jocelyn LaroucheManual testing90000900001342.4280.0140.7220.0270.820%
2022-04-10T23:56:38Jocelyn LaroucheManual testing1000000126668850-
skipped known factor: 5915094761287
--1.195--7.623%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2021-06-06T02:12:26Jocelyn 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 M3435577


PRP results:
dateuseridcompidcofactorsres64PRP
2017-11-06T15:01:27Oliver KruseGTX-3
5915094761287
EAF854880AA494__no
2017-12-16T09:44:36kkmrkkblmbrbkc4.xlarge
5915094761287
EAF854880AA494__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
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104
105
106
100
101
102
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105
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109
TF factor-bounds graph:
268
240
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260
270
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290
2100
Last modified: 2022-04-10T23:56:38+00:00