is 2 725111 - 1
has 218281 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
Actual26740.978470.1493 %150000036134884505.742511.1038 %46.720973.4638 %
Target2440.000054.5455 %1200022500000.003916.5665 %0.003962.0757 %
Difference+23+40.9784+15.6038 %+1488000+3611238450+5.7386-5.4627 %+46.7170+11.3881 %

Known prime factors (3 factors, 184.0 bits, 0.02537087% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
725111935393191929.801645
3 × 5 × 43
-5431.124e-102.048e-72.947e-7
72511128345774160802461712732271.2641954581723405276
22 × 3 × 7 × 17 × 151 × 619 × 14643943
2014-10-08619146439431,127.00.02310.0432
72511190382508384454433114066572582.9026232322250279918048
25 × 3 × 4177 × 490499 × 31686631
2023-01-04490499316866311,785,8390.06340.0934

4 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2014-10-08alpertronManual testing500000150000001222271.2640.03729.491%
2023-01-04USAFSS6917th_Scty_Sq1500000361348845022582.9026.97245.120%


Trial Factoring results:
5758596061626364656667
No TF results for M725111


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 M725111


PRP results:
dateuseridcompidcofactorsres64
2017-09-27Oliver KruseGTX-3
935393191
2834577416080246171273
CD5F6C97CE2EDD48
2017-09-28Oliver KruseManual testing
935393191
2834577416080246171273
CD5F6C97CE2EDD48
2017-11-09kkmrkkblmbrbkc4.large
935393191
2834577416080246171273
CD5F6C97CE2EDD48
2020-04-20Oliver KruseAddPrpType5
935393191
2834577416080246171273
0BE75D11098327B2
2023-01-06LordJuliusWhitebox
935393191
2834577416080246171273
9038250838445443311406657
0BE75D11098327B2


CERT results:
dateuseridcompid
2023-01-06curtiscwcm229--23l


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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Last modified: 2024-03-13T02:15:48+00:00