is 2 3452689 - 1
has 1039363 decimal digits
takes 0.363 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
Actual26817.263367.6471 %34526893906630003.73869.9594 %21.001970.8692 %
Target2641.030965.6250 %1900017000000.01681.8550 %1.047766.2627 %
Difference+4+16.2324+2.0221 %+3433689+388963000+3.7217+8.1044%+19.9542+4.6066 %

Known prime factors (2 factors, 129.1 bits, 0.00374039% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
345268923202070091031.112336
24 × 3 × 7
-16168.888e-112.437e-64.959e-6
34526893241314262938369787827131926573098.03246938983831708702808552
23 × 3 × 19 × 29 × 31 × 41 × 167 × 691 × 2423 × 9987973
2021-04-24242399879732.733e+100.08320.1548

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2020-12-04JossManual testing345268345268
skipped known factor: 2320207009
---2.670%
2020-12-11JossManual testing34526834526896
skipped known factor: 2320207009
---5.261%
2021-04-24JossManual testing34526810703335623098.0320.1396.580%
2022-01-06JossManual testing1613170111642300
skipped known factor: 2320207009
skipped known factor: 324131426293836978782713192657
--1.21310.841%
2022-08-21JossManual testing3452689390663000
skipped known factor: 2320207009
skipped known factor: 324131426293836978782713192657
--3.91413.297%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2021-08-05JossManual testing267268


ECM factoring results:
Total ECM effort:0.441 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.441


Lucas-Lehmer results:
No L-L results for M3452689


PRP results:
dateuseridcompidcofactorsres64
2017-11-06Oliver KruseGTX-1
2320207009
88C8BB360D661FCB
2017-12-16kkmrkkblmbrbkc4.xlarge
2320207009
88C8BB360D661FCB
2021-04-25Chad SteenersonLulabelle14
2320207009
324131426293836978782713192657
88C8BB360D661FCB


CERT results:
dateuseridcompid
2021-04-25curtischum317--06l


P-1 factor-bounds graph:
B1 = 3452689, B2 = 390663000 (P-1 stage 2)
B1 = 1613170, B2 = 111642300 (P-1 stage 2)
B1 = 3452689 (P-1 stage 1)
B1 = 1613170 (P-1 stage 1)
B1 = 345268, B2 = 10703335 (P-1 stage 2)
B1 = 345268, B2 = 3452689 (P-1 stage 2)
B1 = 345268 (P-1 stage 1)
100
101
102
103
104
105
106
107
100
101
102
103
104
105
106
107
108
109
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
280
290
2100
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Last modified: 2024-03-13T02:15:48+00:00