A358322 Interlopers in sexy prime quadruples.

7, 13, 19, 43, 71, 617, 643, 1093, 1483, 1489, 1609, 1871, 1877, 2381, 2687, 3919, 4003, 5441, 5651, 5657, 9463, 11831, 12109, 14629, 20357, 21491, 24107, 26683, 26713, 32059, 37571, 41957, 42407, 44533, 50591, 55217, 65717, 68899, 70001, 79813, 87557, 88811, 88817, 103993, 110923, 112573, 122029

Offset

1,1

Comments

Primes q !== p (mod 6) such that p < q < p+18, where (p, p+6, p+12, p+18) is a "sexy" prime quadruple, i.e., p is in A023271.

Links

Robert Israel, Table of n, a(n) for n = 1..10000

Example

a(5) = 71 is a term because it is a prime !== 61 (mod 6) with 61 < 71 < 79, where (61, 67, 73, 79) is a sexy prime quadruple.

Maple

Res:= 7: count:= 1:
for p from 11 by 10 while count < 100 do
  if andmap(isprime, [p, p+6, p+12, p+18]) then
    R:= select(isprime, [p+2, p+8, p+10, p+16]);
    count:= count + nops(R);
    Res:= Res, op(R);
  fi
od:
Res;

Crossrefs

Cf. A023271.

Sequence in context: A005471 A249381 A040096 * A181938 A073648 A298737

Adjacent sequences: A358319 A358320 A358321 * A358323 A358324 A358325

Keyword

nonn

Author

J. M. Bergot and Robert Israel, Nov 09 2022

Status

approved