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A064240
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Values of m such that N=(am+1)(bm+1)(cm+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,7.
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1
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30, 156, 618, 660, 1626, 2550, 4230, 4356, 4566, 5658, 6120, 6708, 7506, 11496, 15318, 16746, 18048, 19140, 19476, 19686, 20610, 21030, 22920, 23130, 24096, 25188, 26406, 27918, 29346, 29598, 29640, 32748, 33966, 35058, 39678, 41610
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OFFSET
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1,1
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COMMENTS
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am+1, bm+1, cm+1 are primes and am | (N-1), bm | (N-1), cm |(N-1).
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REFERENCES
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Harvey Dubner (harvey(AT)dubner.com), personal communication, Jun 27 2001.
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LINKS
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MATHEMATICA
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CarmichaelNbrQ[n_] := ! PrimeQ@ n && Mod[n, CarmichaelLambda@ n] == 1; Select[ Range@ 42000, PrimeQ[# + 1] && PrimeQ[2# + 1] && PrimeQ[7# + 1] && CarmichaelNbrQ[(# + 1)(2# + 1)(7# + 1)] &] (* Robert G. Wilson v, Aug 23 2012 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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