is 2 238859 - 1
has 71904 decimal digits
takes 0.001 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
Actual267124.399473.1343 %30000000101202470268904,486.311423.3587 %4,610.710879.4098 %
Target2440.000059.0909 %45005500000.000310.0890 %0.000363.2182 %
Difference+23+124.3994+14.0434 %+29995500+10120246476890+4,486.3111+13.2697%+4,610.7105+16.1916 %

Known prime factors (2 factors, 150.7 bits, 0.06308896% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
23885935000448770571341.6717326592
27 × 7 × 13 × 17 × 37
-1281282.260e-61.041e-62.119e-6
23885965953978973610558685293386974759333109.0231380604854194536498212196044
22 × 32 × 13 × 1861 × 67213 × 962617 × 24500241343
2022-04-04962617245002413436.715e+1110.86820.284

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2021-07-16Oliver KruseOllaptop30000000300000000024
skipped known factor: 3500044877057
--1.56143.926%
2022-04-04Oliver KruseThreadripper-PC3000000010120247026890233109.0235,57563.028%


Trial Factoring results:
5758596061626364656667
No TF results for M238859


ECM factoring results:
Total ECM effort:100.189 GHz-days
Estimated T-Level:30.528
DigitsB1CompleteFacMiss
201100053.8010.000%
25500008.6150.018%
302500001.05034.986%
3510000000.10689.975%
4030000000.00999.089%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002811.677
250000250000002848.477
2500003300000070.231
2500003460553270.236
25000036250000210.720
25000038500000280.985
25000023541903070.985
125000041350859555086.88


Lucas-Lehmer results:
No L-L results for M238859


PRP results:
dateuseridcompidcofactorsres64
2017-09-22Oliver KruseDoppelherz
3500044877057
6D740DF2049C5A92
2017-09-22Oliver KruseManual testing
3500044877057
6D740DF2049C5A92
2017-09-22Oliver KruseManual testing
3500044877057
6D740DF2049C5A92
2017-11-06kkmrkkblmbrbkc4.xlarge
3500044877057
6D740DF2049C5A92
2020-04-17Oliver KruseAddPrpType5
3500044877057
96771DF131E8141A
2022-04-05Oliver KruseServer-Phi
3500044877057
659539789736105586852933869747593
96771DF131E8141A


CERT results:
dateuseridcompid
2022-04-05ANONYMOUShome1


P-1 factor-bounds graph:
B1 = 30000000, B2 = 10120247026890 (P-1 stage 2)
B1 = 30000000, B2 = 3000000000 (P-1 stage 2)
B1 = 30000000 (P-1 stage 1)
101
102
103
104
105
106
107
108
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=30.53 ~= 85-bit
250
260
270
280
290
2100
2110
JSON version of this page
Last modified: 2024-03-13T02:15:48+00:00