is 2 1744733 - 1
has 525217 decimal digits
takes 0.095 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L483A4A3DA24EA082double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26717.030668.6567 %500000150000000.10155.0395 %17.132170.2363 %
Target2610.176165.5738 %80005500000.00301.4118 %0.179066.0598 %
Difference+6+16.8546+3.0829 %+492000+14450000+0.0985+3.6277%+16.9531+4.1765 %

Known prime factors (1 factor, 67.3 bits, 0.00385543% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
17447331775812710136271480092167.26750890672387588
22 × 11 × 19 × 31 × 71 × 27657433
2008-07-20712765743317.0310.11850.2214

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-03-16alpertronManual testing5000001500000012---8.819%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-03-26ANONYMOUSv4_computers212570.011
2003-02-02ANONYMOUSv4_computers212580.022


ECM factoring results:
Total ECM effort:38.443 GHz-days
Estimated T-Level:25.714
DigitsB1CompleteFacMiss
201100014.7080.000%
25500001.67318.766%
302500000.14386.697%
3510000000.01099.015%


ECM Summary

B1B2factorcurvesGHz-days
10.103
50000500000025517.52
250000400000004920.82


Lucas-Lehmer results:
No L-L results for M1744733


PRP results:
dateuseridcompidcofactorsres64
2017-09-30alpertronManual testing
177581271013627148009
A6F57B1D8F8E2AE1
2017-10-19Oliver KruseThreadripper-PC
177581271013627148009
A6F57B1D8F8E2AE1


CERT results:
No CERT results for M1744733


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
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101
102
103
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105
106
100
101
102
103
104
105
106
107
108
TF factor-bounds graph:
258
257
this exponent TF target: 61
TF double-checked to: 67
ECM T-Level=25.71 ~= 69-bit
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Last modified: 2024-03-03T02:29:32+00:00