is 2 724721 - 1
has 218163 decimal digits
takes 0.014 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
Actual26741.000570.1493 %150000036134884505.742511.1033 %46.742973.4637 %
Target2440.000054.5455 %1200022500000.003916.5655 %0.003962.0752 %
Difference+23+41.0005+15.6038 %+1488000+3611238450+5.7386-5.4622 %+46.7391+11.3884 %

Known prime factors (2 factors, 109.4 bits, 0.01509273% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
724721319210611671134.89422023
32 × 2447
-924475.580e-94.107e-67.201e-6
724721264631238611075174781592374.48618257456221847799
3 × 11 × 12143 × 26417 × 1724713
2014-10-072641717247136,900.60.00340.0051

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2014-10-07alpertronManual testing500000150000001222374.4860.03729.490%
2023-01-04USAFSS6917th_Scty_Sq15000003613488450
skipped known factor: 31921061167
skipped known factor: 26463123861107517478159
--6.97245.119%


Trial Factoring results:
5758596061626364656667
No TF results for M724721


ECM factoring results:
Total ECM effort:11.336 GHz-days
Estimated T-Level:25.658
DigitsB1CompleteFacMiss
201100014.8080.000%
25500001.62019.795%
302500000.13287.678%
3510000000.00999.129%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002816.358
25000025000000444.978


Lucas-Lehmer results:
No L-L results for M724721


PRP results:
dateuseridcompidcofactorsres64
2017-09-27Oliver KruseGTX-2
31921061167
26463123861107517478159
E3E7A30B51A77D5F
2017-09-28Oliver KruseManual testing
31921061167
26463123861107517478159
E3E7A30B51A77D5F
2017-11-09kkmrkkblmbrbkc4.large
31921061167
26463123861107517478159
E3E7A30B51A77D5F
2020-04-20Oliver KruseAddPrpType5
31921061167
26463123861107517478159
9FC9D56FAA8649C2


CERT results:
No CERT results for M724721


P-1 factor-bounds graph:
B1 = 1500000, B2 = 3613488450 (P-1 stage 2)
B1 = 1500000 (P-1 stage 1)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
100
101
102
103
104
105
106
107
100
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=25.66 ~= 69-bit
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280
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Last modified: 2024-03-13T02:15:48+00:00