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A255514
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.
2
46657, 25505418241, 42780070657, 73543985857, 116355401857, 262757672641, 347138711137, 524866954177, 687990546721, 4170876528961, 5535042490657, 9461608786657, 10620849817441, 13685652197857, 23802444500257, 27407538845857, 31566404586817, 39638503707841
OFFSET
1,1
MATHEMATICA
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 *)
PROG
(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
CROSSREFS
Cf. A002997, A255513 (associated k).
Sequence in context: A132642 A355307 A265285 * A251502 A052359 A205752
KEYWORD
nonn
AUTHOR
Vincenzo Librandi, Feb 25 2015
EXTENSIONS
Corrected and extended by Bruno Berselli, Feb 25 2015
STATUS
approved