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A065695
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Numbers m such that N = (am+1)(bm+1)(cm+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,53.
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9
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6120, 11526, 104700, 108516, 115830, 122826, 297726, 298680, 320940, 338430, 339066, 367686, 374046, 387720, 448140, 531456, 534636, 538770, 587106, 618270, 709536, 746106, 762006, 857406, 863766, 897156, 963300, 1115940, 1150920
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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@ 1000000, PrimeQ[# + 1] && PrimeQ[2# + 1] && PrimeQ[53# + 1] && CarmichaelNbrQ[(# + 1)(2# + 1)(53# + 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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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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