is 2 245257 - 1
has 73830 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
Actual267121.154273.1343 %30000000101202470268904,486.311423.3926 %4,607.465679.4189 %
Target2440.000059.0909 %45005500000.000310.1302 %0.000363.2351 %
Difference+23+121.1542+14.0434 %+29995500+10120246476890+4,486.3111+13.2624%+4,607.4653+16.1838 %

Known prime factors (1 factor, 28.8 bits, 0.01173168% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
245257458630591928.773935
5 × 11 × 17
-11171.753e-109.216e-81.821e-7

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2021-07-28Oliver KruseOllaptop30000000300000000024
skipped known factor: 458630591
--1.56143.980%
2022-04-12Oliver KruseThreadripper-PC3000000010120247026890
skipped known factor: 458630591
--5,57563.088%


Trial Factoring results:
5758596061626364656667
No TF results for M245257


ECM factoring results:
Total ECM effort:15.486 GHz-days
Estimated T-Level:28.414
DigitsB1CompleteFacMiss
201100047.1020.000%
25500006.5800.139%
302500000.68350.519%
3510000000.05694.599%
4030000000.00499.631%


ECM Summary

B1B2factorcurvesGHz-days
110001100000300.035
5000050000002741.637
250000250000002627.827
25000033000000672.214
2500003475000070.236
2500003599521170.240
25000036250000140.481
25000038500000210.740
25000055133578572.076


Lucas-Lehmer results:
No L-L results for M245257


PRP results:
dateuseridcompidcofactorsres64
2017-09-22Oliver KruseOllaptop
458630591
D325ADDD2C201A3C
2017-09-22Oliver KruseManual testing
458630591
D325ADDD2C201A3C
2017-10-12Oliver KruseGTX-0
458630591
D325ADDD2C201A3C
2017-11-06kkmrkkblmbrbkc4.xlarge
458630591
D325ADDD2C201A3C
2020-04-17Oliver KruseAddPrpType5
458630591
1794AC1E414E4D7A
2024-02-03Wentao HuangManual testing
458630591
1794AC1E414E4D7A


CERT results:
dateuseridcompid
2024-02-03slaurnocebo


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)
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108
100
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109
1010
1011
1012
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1014
TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=28.41 ~= 78-bit
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Last modified: 2024-03-13T02:15:48+00:00