is 2 3508079 - 1
has 1056038 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
Actual26816.990767.6471 %13508075294520004.58759.5231 %21.578270.7281 %
Target2641.014665.6250 %2000018000000.01781.9162 %1.032466.2837 %
Difference+4+15.9761+2.0221 %+1330807+527652000+4.5697+7.6069%+20.5458+4.4444 %

Known prime factors (4 factors, 169.4 bits, 0.00482845% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3508079175403951927.38625
52
-25255.124e-123.807e-67.748e-6
3508079222342047031134.3723169
3169
2008-09-07131691.100e-92.644e-54.904e-5
350807912644239301291340.202180216
23 × 32 × 2503
2008-09-30925034.208e-82.206e-53.877e-5
35080791982971987543176695992167.42628262932327681
6329 × 4465623689
2022-01-266329446562368915.66537.05369.203

11 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2020-06-15JossManual testing350807350807
skipped known factor: 175403951
skipped known factor: 22234204703
skipped known factor: 1264423930129
---2.694%
2020-06-17JossManual testing35080735080796
skipped known factor: 175403951
skipped known factor: 22234204703
skipped known factor: 1264423930129
---5.298%
2022-02-11JossManual testing1000000114656850
skipped known factor: 175403951
skipped known factor: 22234204703
skipped known factor: 1264423930129
--1.14710.503%
2022-09-03JossManual testing1350807208556502
skipped known factor: 175403951
skipped known factor: 22234204703
skipped known factor: 1264423930129
--2.01511.607%
2022-10-05JossManual testing1350807529452000
skipped known factor: 175403951
skipped known factor: 22234204703
skipped known factor: 1264423930129
--5.44812.923%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2008-09-07Will EdgingtonManual testing??
34.372
11
2008-09-30markrManual testing??
40.202
13
2022-01-26JossManual testing267268
67.426
21
8.521


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 M3508079


PRP results:
dateuseridcompidcofactorsres64
2017-11-07kkmrkkblmbrbkc4.xlarge
175403951
22234204703
1264423930129
EBDC75D8E79A7B31
2017-11-24Oliver KruseGTX-3
175403951
22234204703
1264423930129
EBDC75D8E79A7B31
2022-02-01Poaooffice-CN2
175403951
22234204703
1264423930129
198297198754317669599
EBDC75D8E79A7B31


CERT results:
dateuseridcompid
2022-02-02boincPlayer5


P-1 factor-bounds graph:
B1 = 1350807, B2 = 529452000 (P-1 stage 2)
B1 = 1350807, B2 = 208556502 (P-1 stage 2)
B1 = 1000000, B2 = 114656850 (P-1 stage 2)
B1 = 1350807 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 350807, B2 = 3508079 (P-1 stage 2)
B1 = 350807 (P-1 stage 1)
100
101
102
103
104
105
106
107
100
101
102
103
104
105
106
107
108
109
1010
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