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A065698
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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 = 1,2,61.
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4
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5580, 19488, 22050, 86466, 140268, 173208, 177966, 227010, 233598, 265806, 273126, 355110, 395736, 402690, 432336, 476988, 486138, 550188, 578370, 588618, 754416, 788088, 844086, 1044288, 1092600, 1204596, 1217406, 1386498, 1415778, 1446888, 1463358, 1563276, 1566936, 1599876
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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@ 1600000, PrimeQ[# +1] && PrimeQ[2# +1] && PrimeQ[61# +1] && CarmichaelNbrQ[(# +1) (2# +1) (61# +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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