is 2 1749023 - 1
has 526509 decimal digits
takes 0.095 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
Actual26716.988968.6567 %500000150000000.10155.0410 %17.090370.2367 %
Target2610.175665.5738 %80005500000.00301.4125 %0.178666.0600 %
Difference+6+16.8132+3.0829 %+492000+14450000+0.0985+3.6285%+16.9118+4.1767 %

Known prime factors (4 factors, 239.3 bits, 0.01368308% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
17490236820909856331239.311194992
24 × 7 × 1741
-1617415.050e-88.652e-61.393e-5
17490237294895702177659211859.340208542017520
24 × 32 × 5 × 23 × 12593117
2015-07-0223125931170.08040.05400.1008
1749023278495583661775450872064.5947961461446241
95071 × 83742271
2017-11-1695071837422712.67360.36600.6703
1749023795953026922704456531612376.07522754218410012460
22 × 5 × 7 × 6299 × 112759 × 228829
2015-07-0211275922882914,8490.00940.0181

11 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2015-07-02alpertronManual testing5000001500000012241135.4150.1018.821%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2017-11-16TJAOIManual testing264265*
64.594
20
1.270


ECM factoring results:
Total ECM effort:38.490 GHz-days
Estimated T-Level:25.716
DigitsB1CompleteFacMiss
201100014.7850.000%
25500001.68018.633%
302500000.14386.658%
3510000000.01099.013%


ECM Summary

B1B2factorcurvesGHz-days
50000500000025717.66
250000400000004920.83


Lucas-Lehmer results:
No L-L results for M1749023


PRP results:
dateuseridcompidcofactorsres64
2017-10-03Oliver KruseGTX-3
682090985633
729489570217765921
79595302692270445653161
98C2A8C68BFF0792
2017-10-05Oliver KruseManual testing
682090985633
729489570217765921
79595302692270445653161
98C2A8C68BFF0792
2017-11-10kkmrkkblmbrbkc4.xlarge
682090985633
729489570217765921
79595302692270445653161
98C2A8C68BFF0792
2017-11-17Robin892DB2310AC51652__
2017-11-17Oliver KruseGTX-0
682090985633
729489570217765921
27849558366177545087
79595302692270445653161
CE33407FB7E523F5
2017-11-17kkmrkkblmbrbkc4.xlarge
682090985633
729489570217765921
27849558366177545087
79595302692270445653161
CE33407FB7E523F5


CERT results:
No CERT results for M1749023


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
TF factor-bounds graph:
this exponent TF target: 61
TF double-checked to: 67
ECM T-Level=25.72 ~= 69-bit
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Last modified: 2024-03-13T02:15:48+00:00