A364320 Prime numbers that are the exact average of eight consecutive odd semiprimes.

43, 317, 607, 719, 853, 887, 919, 1231, 1237, 1283, 1303, 1951, 2179, 2609, 3001, 3271, 3389, 3491, 3547, 3643, 3889, 3931, 4241, 4297, 4447, 4517, 4567, 4621, 4817, 4831, 4871, 4909, 5479, 5623, 5647, 5653, 5953, 6211, 6301, 6869, 7019, 7559, 8011, 8191, 8297, 8311, 8317, 8369, 8447

Offset

1,1

Links

Table of n, a(n) for n=1..49.

Example

43 is a term because (25 + 33 + 35 + 39 + 49 + 51 + 55 + 57)/8 = 43 is prime.
719 is a term because (703 + 707 + 713 + 717 + 721 + 723 + 731 + 737)/8 = 719 is prime.

Mathematica

Select[Mean /@ Partition[Select[Range[1, 9000, 2], PrimeOmega[#] == 2 &], 8, 1], PrimeQ] (* Amiram Eldar, Sep 25 2023 *)

Crossrefs

Cf. A000040, A046315.

Cf. A363074, A363187, A363188, A364147, A364148, A364149, A364321, A364689.

Sequence in context: A268259 A140012 A123795 * A346575 A217621 A213554

Adjacent sequences: A364317 A364318 A364319 * A364321 A364322 A364323

Keyword

nonn

Author

Elmo R. Oliveira, Sep 25 2023

Status

approved