A255513 Numbers k such that 24*k+13, 72*k+37 and 192*k+97 are all prime.

0, 42, 50, 60, 70, 92, 101, 116, 127, 232, 255, 305, 317, 345, 415, 435, 456, 492, 501, 521, 570, 605, 616, 710, 752, 757, 801, 827, 891, 906, 932, 1051, 1080, 1127, 1141, 1190, 1232, 1281, 1285, 1331, 1347, 1366, 1376, 1387, 1540, 1585, 1647, 1662, 1676

Offset

1,2

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

Select[Range[0, 1700], PrimeQ[24 # + 13] && PrimeQ[72 # + 37] && PrimeQ[192 # + 97] &]

Prog

(Magma) [n: n in [0..1700] | IsPrime(24*n+13) and IsPrime(72*n+37) and IsPrime(192*n+97)];
(PARI) is(k) = isprime(24*k + 13) && isprime(72*k + 37) && isprime(192*k + 97); \\ Amiram Eldar, Apr 24 2024

Crossrefs

Cf. A255514 (Carmichael numbers of the form (24*k+13)*(72*k+37)*(192*k+97)).

Sequence in context: A124189 A249043 A063998 * A186456 A181647 A105346

Adjacent sequences: A255510 A255511 A255512 * A255514 A255515 A255516

Keyword

nonn,changed

Author

Vincenzo Librandi, Feb 25 2015

Extensions

Corrected and extended by Bruno Berselli, Feb 25 2015

Status

approved