is 2 57839 - 1
has 17412 decimal digits
takes 0.000 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
Actual267513.735076.1194 %60000000030160348665447028,262.060229.5996 %28,775.795283.1880 %
Target2440.000063.6364 %500500000.00002.1267 %0.000064.4097 %
Difference+23+513.7349+12.4830 %+599999500+301603486604470+28,262.0602+27.4729%+28,775.7951+18.7783 %

Known prime factors (2 factors, 52.2 bits, 0.09018506% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
57839115679616.8201
1
-111.509e-131.720e-93.500e-9
57839435624839531135.342376584
23 × 3 × 13 × 17 × 71
2008-08-2617717.914e-83.430e-85.950e-8

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-10-05kkmrkkblmbrbkManual testing100000000200000000012
skipped known factor: 115679
skipped known factor: 43562483953
---39.762%
2023-05-01JacobZPM1Server600000000301603486654470
skipped known factor: 115679
skipped known factor: 43562483953
--35,74169.250%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-05-05ATHcolab-Pp215000000150000000027--0.275


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2008-08-26ANONYMOUSManual testing??35.34211


ECM factoring results:
Total ECM effort:68.275 GHz-days
Estimated T-Level:32.829
DigitsB1CompleteFacMiss
2011000171.5230.000%
255000032.7560.000%
302500004.7440.870%
3510000000.56656.785%
4030000000.05794.493%
45110000000.00599.516%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002810.325
250000250000005853.619
100000010000000040411.31
1000000100000000010.097
1000000100000000010.097
100000033080597555014.15
17592671737500310508.462
198023729388044455013.48
225009637146875825016.83


Lucas-Lehmer results:
No L-L results for M57839


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KruseOllaptop
115679
43562483953
771ED81C4600ED5F
2017-09-21Oliver KruseManual testing
115679
43562483953
771ED81C4600ED5F
2017-10-13kkmrkkblmbrbkManual testing
115679
43562483953
771ED81C4600ED5F
2020-04-17Oliver KruseAddPrpType5
115679
43562483953
52C0820C5687FE62
2022-05-12Jorge CoveiroManual testing
115679
52C0820C5687FE62


CERT results:
No CERT results for M57839


P-1 factor-bounds graph:
B1 = 600000000, B2 = 301603486654470 (P-1 stage 2)
B1 = 600000000 (P-1 stage 1)
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
100
101
102
103
104
105
106
107
108
109
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=32.83 ~= 92-bit
250
260
270
280
290
2100
JSON version of this page
Last modified: 2024-02-10T14:35:10+00:00