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.

46657, 25505418241, 42780070657, 73543985857, 116355401857, 262757672641, 347138711137, 524866954177, 687990546721, 4170876528961, 5535042490657, 9461608786657, 10620849817441, 13685652197857, 23802444500257, 27407538845857, 31566404586817, 39638503707841

Offset

1,1

Links

Amiram Eldar, Table of n, a(n) for n = 1..10000

Umberto Cerruti, Pseudoprimi di Fermat e numeri di Carmichael (in Italian), p. 12.

Index entries for sequences related to Carmichael numbers.

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

Adjacent sequences: A255511 A255512 A255513 * A255515 A255516 A255517

Keyword

nonn

Author

Vincenzo Librandi, Feb 25 2015

Extensions

Corrected and extended by Bruno Berselli, Feb 25 2015

Status

approved