is 2 3186133 - 1
has 959122 decimal digits
takes 0.271 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
Actual26818.707667.6471 %12744532365135501.73908.4628 %20.446670.3850 %
Target2641.117165.6250 %1500013000000.01051.5835 %1.127666.1693 %
Difference+4+17.5905+2.0221 %+1259453+235213550+1.7285+6.8793%+19.3189+4.2157 %

Known prime factors (2 factors, 128.3 bits, 0.00402574% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3186133133817586011133.6402100
22 × 3 × 52 × 7
-25255.224e-103.085e-66.279e-6
3186133305683788304766673872317066872994.6264797097112781649006371
32 × 31 × 337 × 10037 × 266047 × 19106543
2022-02-27266047191065432.172e+90.15950.2399

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2021-01-07JossManual testing318613318613
skipped known factor: 13381758601
---2.554%
2021-01-07JossManual testing31861331861336
skipped known factor: 13381758601
---5.080%
2022-02-27JossManual testing100000013434330022994.6261.25910.623%
2022-09-03JossManual testing1274453236513550
skipped known factor: 13381758601
skipped known factor: 30568378830476667387231706687
--2.14611.630%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2021-05-10JossManual testing267268


ECM factoring results:
Total ECM effort:0.352 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.352


Lucas-Lehmer results:
No L-L results for M3186133


PRP results:
dateuseridcompidcofactorsres64
2017-11-01Oliver KruseGTX-3
13381758601
AA2020ED4687AF08
2017-12-13kkmrkkblmbrbkc4.xlarge
13381758601
AA2020ED4687AF08
2022-03-01LordJuliusWhitebox
13381758601
30568378830476667387231706687
AA2020ED4687AF08


CERT results:
dateuseridcompid
2022-03-01querwurzelduke


P-1 factor-bounds graph:
B1 = 1274453, B2 = 236513550 (P-1 stage 2)
B1 = 1000000, B2 = 134343300 (P-1 stage 2)
B1 = 1274453 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 318613, B2 = 3186133 (P-1 stage 2)
B1 = 318613 (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