is 2 249059 - 1
has 74975 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
Actual267119.304773.1343 %30000000101202470268904,486.311423.4123 %4,605.616179.4242 %
Target2440.000059.0909 %45005500000.000310.1543 %0.000363.2449 %
Difference+23+119.3047+14.0434 %+29995500+10120246476890+4,486.3111+13.2580%+4,605.6158+16.1793 %

Known prime factors (2 factors, 51.7 bits, 0.02075395% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
249059498119618.9261
1
-111.402e-138.136e-91.656e-8
24905972909531671032.76314637
3 × 7 × 17 × 41
2008-07-2117412.684e-91.490e-72.815e-7

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2021-08-09Oliver KruseOllaptop30000000300000000024
skipped known factor: 498119
skipped known factor: 7290953167
--1.56144.011%
2022-04-17Oliver KruseThreadripper-PC3000000010120247026890
skipped known factor: 498119
skipped known factor: 7290953167
--5,57563.123%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2008-07-21J FeitsmaManual testing??
32.763
10


ECM factoring results:
Total ECM effort:14.041 GHz-days
Estimated T-Level:28.343
DigitsB1CompleteFacMiss
201100046.2930.000%
25500006.4700.155%
302500000.66951.241%
3510000000.05494.707%
4030000000.00499.639%


ECM Summary

B1B2factorcurvesGHz-days
110001100000300.035
5000050000002741.638
250000250000003189.50
25000032250000501.638
2500003545919770.238
25000023541903070.987


Lucas-Lehmer results:
No L-L results for M249059


PRP results:
dateuseridcompidcofactorsres64
2017-09-22Oliver KruseOllaptop
498119
7290953167
AB162392E7088D52
2017-09-22Oliver KruseManual testing
498119
7290953167
AB162392E7088D52
2017-10-12kkmrkkblmbrbkc4.xlarge
498119
7290953167
AB162392E7088D52
2020-04-17Oliver KruseAddPrpType5
498119
7290953167
4161AC4CDC5D072D
2022-05-12Jorge CoveiroManual testing
498119
4161AC4CDC5D072D
2024-02-03Wentao HuangManual testing
498119
7290953167
4161AC4CDC5D072D


CERT results:
dateuseridcompid
2024-02-03Naegi Makoto1035G1


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)
100
101
102
103
104
105
106
107
108
100
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=28.34 ~= 78-bit
250
260
270
280
JSON version of this page
Last modified: 2024-03-13T02:15:48+00:00