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A065697
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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 = 1,2,57.
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4
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198, 996, 2706, 9090, 13536, 16728, 25620, 33486, 34056, 35310, 41010, 53550, 58566, 60960, 61986, 63240, 72816, 72930, 74526, 75780, 77490, 80340, 83760, 96756, 97326, 100746, 103140, 111918, 125028, 125370, 128676, 129360, 136656, 164700, 174048, 175758, 176898
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OFFSET
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1,1
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LINKS
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FORMULA
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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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MATHEMATICA
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CarmichaelNbrQ[n_] := ! PrimeQ@n && Mod[n, CarmichaelLambda@n] == 1; Select[ Range@140000, PrimeQ[# +1] && PrimeQ[2# +1] && PrimeQ[57# +1] && CarmichaelNbrQ[(# +1) (2# +1) (57# +1)] &] (* Robert G. Wilson v, Jul 31 2017 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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Harvey Dubner (harvey(AT)dubner.com), Nov 14 2001
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EXTENSIONS
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STATUS
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approved
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