is 2 3500779 - 1
has 1053840 decimal digits
takes 0.368 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26817.026267.6471 %30000002730000002.69719.4110 %19.723370.6918 %
Target2641.016765.6250 %2000018000000.01781.9155 %1.034566.2834 %
Difference+4+16.0095+2.0221 %+2980000+271200000+2.6793+7.4955%+18.6887+4.4084 %

Known prime factors (3 factors, 134.9 bits, 0.00385207% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3500779287063879928.09741
41
-1411.031e-114.842e-76.282e-7
35007795602086586971239.02780012
22 × 83 × 241
2008-09-07832412.759e-81.395e-52.572e-5
35007792445356138724915598312167.72934925885620385
5 × 37 × 188788570921
2022-01-133718878857092110.6041,566.42,925.6

4 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2021-03-24ViliamF33000000273000000
skipped known factor: 287063879
skipped known factor: 560208658697
---12.656%
2022-03-25JossManual testing1000000123342450
skipped known factor: 287063879
skipped known factor: 560208658697
--1.22210.602%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2008-09-07Will EdgingtonManual testing??
39.027
12
2022-01-13JossManual testing267268
67.729
21
8.538


ECM factoring results:
Total ECM effort:0.442 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.442


Lucas-Lehmer results:
No L-L results for M3500779


PRP results:
dateuseridcompidcofactorsres64
2017-11-07Oliver KruseGTX-0
287063879
560208658697
FE3802074D4B8258
2017-12-17kkmrkkblmbrbkc4.xlarge
287063879
560208658697
FE3802074D4B8258
2022-02-03RichD0Linux-5b
287063879
560208658697
244535613872491559831
FE3802074D4B8258


CERT results:
dateuseridcompid
2022-02-03Khurshid SuyunovWS0


P-1 factor-bounds graph:
B1 = 3000000, B2 = 273000000 (P-1 stage 2)
B1 = 1000000, B2 = 123342450 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
100
101
102
103
104
105
106
107
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
TF factor-bounds graph:
268
this exponent TF target: 64
TF double-checked to: 67
ECM T-Level=0.58 ~= -15-bit
250
260
270
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Last modified: 2024-03-13T02:15:48+00:00