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A255514
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Carmichael numbers of the form (24*k+13)*(72*k+37)*(192*k+97), where 24*k+13, 72*k+37 and 192*k+97 are all primes.
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2
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46657, 25505418241, 42780070657, 73543985857, 116355401857, 262757672641, 347138711137, 524866954177, 687990546721, 4170876528961, 5535042490657, 9461608786657, 10620849817441, 13685652197857, 23802444500257, 27407538845857, 31566404586817, 39638503707841
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OFFSET
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1,1
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LINKS
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MATHEMATICA
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f[k_] := {24*k + 13, 72*k + 37, 192*k + 97}; Times @@ f[#]& /@ Select[Range[0, 500], And @@ PrimeQ[f[#]] &] (* Amiram Eldar, Apr 24 2024 *)
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PROG
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(Magma) [(24*n+13)*(72*n+37)*(192*n+97): n in [0..500] | IsPrime(24*n+13) and IsPrime(72*n+37) and IsPrime(192*n+97)];
(PARI) lista(kmax) = for(k = 0, kmax, if(isprime(24*k + 13) && isprime(72*k + 37) && isprime(192*k + 97), print1((24*k+13)*(72*k+37)*(192*k+97), ", "))); \\ Amiram Eldar, Apr 24 2024
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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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