is 2 49121 - 1
has 14787 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
Actual267604.912776.1194 %72000000052447960840275040,859.391830.3164 %41,464.304583.3591 %
Target2440.000063.6364 %500500000.00002.0296 %0.000164.3744 %
Difference+23+604.9127+12.4830 %+719999500+524479608352750+40,859.3918+28.2868%+41,464.3045+18.9848 %

Known prime factors (3 factors, 147.2 bits, 0.29961265% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
49121232494605111134.436236655
33 × 5 × 1753
-2717535.703e-81.731e-72.555e-7
4912111228591985671340.03011429523
32 × 7 × 181421
2008-08-2691814215.733e-61.415e-52.640e-5
4912177031412084294424588892272.70678409857376981764
22 × 32 × 67271 × 32377273919
2009-04-22672713237727391925,3872.52244.7109

4 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-10-02kkmrkkblmbrbkManual testing100000000200000000012
skipped known factor: 23249460511
skipped known factor: 1122859198567
---39.461%
2023-05-07JacobZMServer720000000524479608402750
skipped known factor: 23249460511
skipped known factor: 1122859198567
skipped known factor: 7703141208429442458889
--49,14670.087%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2008-08-26ANONYMOUSManual testing??
40.030
13


ECM factoring results:
Total ECM effort:131.489 GHz-days
Estimated T-Level:34.870
DigitsB1CompleteFacMiss
2011000259.5520.000%
255000051.3930.000%
302500007.6960.045%
3510000000.97437.761%
4030000000.10390.176%
45110000000.00999.056%


ECM Summary

B1B2factorcurvesGHz-days
10.008
5000050000002720.255
250000250000005843.004
100000010000000081618.82
2160810421243788715046.79
2160810578913835515062.62


Lucas-Lehmer results:
No L-L results for M49121


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KrusePRP
23249460511
1122859198567
7703141208429442458889
16C35D5CCC03F5AA
2017-09-21Oliver KruseManual testing
23249460511
1122859198567
7703141208429442458889
16C35D5CCC03F5AA
2017-11-06kkmrkkblmbrbkc4.xlarge
23249460511
1122859198567
7703141208429442458889
16C35D5CCC03F5AA
2020-04-17Oliver KruseManual testing
23249460511
1122859198567
7703141208429442458889
7CD10A9D979893FF


CERT results:
No CERT results for M49121


P-1 factor-bounds graph:
B1 = 720000000, B2 = 524479608402750 (P-1 stage 2)
B1 = 720000000 (P-1 stage 1)
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
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TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=34.87 ~= 99-bit
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Last modified: 2024-03-13T02:15:48+00:00