is 2 3852553 - 1
has 1159735 decimal digits
takes 0.405 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
Actual2677.712867.1642%3852553389175150032.845414.0232%40.558171.7688%4.6046%
PrimeNet2600.039963.3333%170003400000.00533.1954%0.045164.5050%1.1716%
GPU722640.923965.6250%240005000000.00762.2286%0.931566.3911%0.7661%
Difference+3+6.7889+1.5392%+3828553+3891251500+32.8378+11.7946%+39.6267+5.3777%+3.8386%

Known prime factors (2 factors, 172.1 bits, 0.00446802% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
385255313575395108231340.304176187
3 × 11 × 19 × 281
-192814.318e-85.067e-65.889e-6
3852553483489393189401709788186942747160674869740131.829627492202170095660965841278169516
22 × 13 × 269 × 563 × 6709 × 23117 × 56993 × 69431 × 129831511
2022-05-30694311298315114.153e+101.08722.0120

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
385255365635595431844950489389511320105641033479508726476
31
52172.133
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-04-17T12:03:27Jocelyn LaroucheManual testing200000200000-
skipped known factor: 1357539510823
--0.030--1.477%
2022-05-30T12:24:18Jocelyn LaroucheManual testing20000013036485040131.8291.1100.8092.2216.832%
2022-07-16T14:40:57Jocelyn LaroucheManual testing38525533891751500-
skipped known factor: 1357539510823
skipped known factor: 4834893931894017097881869427471606748697
--32.85--14.023%


Trial Factoring results:
No TF results for M3852553


ECM factoring results:
Total ECM effort:0.451 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.451


Lucas-Lehmer results:
No L-L results for M3852553


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-20T06:43:20kkmrkkblmbrbkManual testing
1357539510823
BEDF1A2F97B235__no
2017-12-21T08:47:37Chang Chia-Tcheexbpc13
1357539510823
BEDF1A2F97B235__no
2022-06-05T07:28:59y-omoriNEC_Express5800_03
1357539510823
4834893931894017097881869427471606748697
02434E196B71FD9Fno


P-1 factor-bounds graph:
B1 = 3852553, B2 = 3891751500 (P-1 stage 2)
B1 = 200000, B2 = 130364850 (P-1 stage 2)
B1 = 3852553 (P-1 stage 1)
B1 = 200000 (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:
267
240
250
260
270
280
290
2100
2110
2120
2130
2140
Last modified: 2022-07-16T14:40:57+00:00