is 2 248021 - 1
has 74662 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
Actual267119.804073.1343 %30000000101202470268904,486.311423.4070 %4,606.115479.4228 %
Target2440.000059.0909 %45005500000.000310.1478 %0.000363.2423 %
Difference+23+119.8040+14.0434 %+29995500+10120246476890+4,486.3111+13.2592%+4,606.1151+16.1805 %

Known prime factors (1 factor, 25.5 bits, 0.01030133% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
24802149108159825.54999
32 × 11
-9111.841e-117.411e-81.490e-7

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2021-08-05Oliver KruseOllaptop30000000300000000024
skipped known factor: 49108159
--1.56144.003%
2022-04-16Oliver KruseThreadripper-PC3000000010120247026890
skipped known factor: 49108159
--5,57563.113%


Trial Factoring results:
5758596061626364656667
No TF results for M248021


ECM factoring results:
Total ECM effort:25.107 GHz-days
Estimated T-Level:28.509
DigitsB1CompleteFacMiss
201100046.6200.000%
25500006.6930.124%
302500000.70249.572%
3510000000.05894.390%
4030000000.00499.613%


ECM Summary

B1B2factorcurvesGHz-days
110001100000300.035
5000050000002741.638
250000250000002276.784
2500003300000070.231
25000036250000210.721
25000038500000351.234
25000023541903070.987
25000025426810571.052
2500003675371705010.31
25000055133578572.119


Lucas-Lehmer results:
No L-L results for M248021


PRP results:
dateuseridcompidcofactorsres64
2017-09-22Oliver KruseOllaptop
49108159
626F7106373B67AB
2017-09-22Oliver KruseManual testing
49108159
626F7106373B67AB
2017-10-12Oliver KruseGTX-2
49108159
626F7106373B67AB
2017-11-06kkmrkkblmbrbkc4.xlarge
49108159
626F7106373B67AB
2020-04-17Oliver KruseAddPrpType5
49108159
0C47CF1AF5EDA96B
2024-02-03Wentao HuangManual testing
49108159
0C47CF1AF5EDA96B


CERT results:
dateuseridcompid
2024-02-03curtiscwcm202--46l


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=28.51 ~= 78-bit
250
260
270
280
JSON version of this page
Last modified: 2024-03-13T02:15:48+00:00