is 2 1723751 - 1
has 518901 decimal digits
takes 0.081 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
Actual26717.237968.6567 %500000150000000.08805.0322 %17.326070.2340 %
Target2610.178265.5738 %70005500000.00251.3443 %0.180766.0366 %
Difference+6+17.0597+3.0829 %+493000+14450000+0.0855+3.6879%+17.1453+4.1974 %

Known prime factors (4 factors, 238.1 bits, 0.01381436% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
17237513447503721.7171
1
-111.621e-136.824e-81.389e-7
172375172397542011032.7532100
22 × 3 × 52 × 7
2008-07-1525254.828e-101.706e-63.472e-6
172375121360873463758520788412270.855619604382064420
22 × 5 × 30980219103221
2020-04-20530980219103221186.67115,183215,129
1723751903589956205015274931606457311818334112.7992620999077607540981648760341
181 × 1039 × 1999 × 729756239 × 9553931759
2020-04-2072975623995539317599.770e+1082.607101.35

11 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-03-16alpertronManual testing5000001500000012
skipped known factor: 3447503
skipped known factor: 7239754201
---8.808%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2008-07-15J FeitsmaManual testing??
32.753
10


ECM factoring results:
Total ECM effort:35.637 GHz-days
Estimated T-Level:25.721
DigitsB1CompleteFacMiss
201100014.7690.000%
25500001.68518.541%
302500000.14486.565%
3510000000.01099.002%


ECM Summary

B1B2factorcurvesGHz-days
50000500000018412.43
500005000000412.813
500005000000291.990
250000400000005018.40


Lucas-Lehmer results:
No L-L results for M1723751


PRP results:
dateuseridcompidcofactorsres64
2017-09-30alpertronManual testing
3447503
7239754201
3DDB9DBAD704220D
2017-10-19Oliver KruseThreadripper-PC
3447503
7239754201
3DDB9DBAD704220D
2020-04-20M Millercruncher
3447503
7239754201
9035899562050152749316064573118183
2136087346375852078841
0F8C8F39DABDF3B1
2020-04-21marssystemsSystem01
3447503
7239754201
9035899562050152749316064573118183
2136087346375852078841
0F8C8F39DABDF3B1


CERT results:
No CERT results for M1723751


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
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109
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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