A118467 Primes p = prime(i) of level (1,3), i.e., such that A118534(i) = prime(i-3).

619, 1069, 1459, 1499, 1759, 1789, 2861, 3331, 3931, 4177, 4801, 4831, 5419, 6229, 6397, 8431, 8893, 9067, 9631, 11003, 11131, 11789, 12619, 14251, 15331, 15889, 16661, 17683, 17939, 18269, 18553, 19219, 19391, 19507, 20029, 20759, 22039, 22159, 22171, 22549

Offset

1,1

Comments

If prime(i) has level 1 in A117563 and 2*prime(i) - prime(i+1) = prime(i-k), then we say that prime(i) has level (1,k).

Links

Remi Eismann, Table of n, a(n) for n = 1..10000

Example

prime(115) - prime(114) = 631 - 619 = 619 - 607 = prime(114) - prime(114-3).

Mathematica

Select[Partition[Prime[Range[2600]], 5, 1], #[[5]]-#[[4]]==#[[4]]-#[[1]]&][[All, 4]] (* Harvey P. Dale, Aug 28 2021 *)

Crossrefs

Subsequence of A125830 and A162174.

Cf. A006562 (primes of level (1,1)), A117078, A117563, A117876, A118464.

Sequence in context: A251323 A020377 A210887 * A200812 A133207 A182351

Adjacent sequences: A118464 A118465 A118466 * A118468 A118469 A118470

Keyword

nonn

Author

Rémi Eismann, May 24 2006

Extensions

Definition and comment reworded, following author's suggestions, by M. F. Hasler, Nov 30 2009

Status

approved