is 2 721243 - 1
has 217116 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
Actual26741.198270.1493 %165000036182315405.754011.2136 %46.952373.4966 %
Target2440.000054.5455 %1200022500000.003916.5564 %0.003962.0711 %
Difference+23+41.1982+15.6038 %+1638000+3615981540+5.7502-5.3428 %+46.9484+11.4255 %

Known prime factors (4 factors, 208.9 bits, 0.02897002% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
72124324522263824.54817
17
-1173.110e-125.420e-85.894e-8
721243155788489927.215108
22 × 33
2008-07-1627272.537e-117.819e-71.591e-6
7212431883599851302837066519112477.318130580113172872185
33 × 5 × 181 × 1217 × 3967 × 1106909
2014-10-063967110690982,5340.00190.0033
72124311000259287966273049851292579.864762590367460500348
22 × 3 × 7 × 11 × 44027 × 18745639051
2016-06-234402718745639051237,65429.57855.242

11 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2014-10-06alpertronManual testing500000150000001222477.3180.03729.480%
2023-01-02USAFSS6917th_Scty_Sq16500003618231540
skipped known factor: 24522263
skipped known factor: 155788489
skipped known factor: 188359985130283706651911
--5.75445.214%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2008-07-16J FeitsmaManual testing??
27.215
9


ECM factoring results:
Total ECM effort:11.331 GHz-days
Estimated T-Level:25.658
DigitsB1CompleteFacMiss
201100014.8080.000%
25500001.62019.795%
302500000.13287.678%
3510000000.00999.129%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002245.066
500005000000571.289
25000025000000444.976


Lucas-Lehmer results:
No L-L results for M721243


PRP results:
dateuseridcompidcofactorsres64
2017-09-27Oliver KruseGTX-3
24522263
155788489
188359985130283706651911
1100025928796627304985129
165A135CAC49D42D
2017-09-28Oliver KruseManual testing
24522263
155788489
188359985130283706651911
1100025928796627304985129
165A135CAC49D42D
2017-10-13Oliver KruseThreadripper-PC
24522263
155788489
188359985130283706651911
1100025928796627304985129
165A135CAC49D42D
2017-12-16ATHec2-1xh
24522263
155788489
188359985130283706651911
1100025928796627304985129
165A135CAC49D42D
2020-04-20Oliver KruseAddPrpType5
24522263
155788489
188359985130283706651911
1100025928796627304985129
EFD94080934E7123


CERT results:
No CERT results for M721243


P-1 factor-bounds graph:
B1 = 1650000, B2 = 3618231540 (P-1 stage 2)
B1 = 1650000 (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
1011
TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=25.66 ~= 69-bit
250
260
270
280
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Last modified: 2024-03-13T02:15:48+00:00