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 A364320 Prime numbers that are the exact average of eight consecutive odd semiprimes. 2
 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 (list; graph; refs; listen; history; text; internal format)
 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

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Last modified May 26 23:01 EDT 2024. Contains 372847 sequences. (Running on oeis4.)