A364689 Prime numbers that are the exact average of ten consecutive odd semiprimes.

43, 53, 73, 83, 113, 373, 449, 577, 971, 1259, 1327, 1381, 1499, 1543, 1847, 2239, 2311, 2339, 2351, 2383, 2953, 3109, 3257, 3389, 4021, 4297, 4919, 5101, 5227, 5591, 5701, 5737, 5927, 6733, 6907, 7109, 7253, 7823, 8011, 9137, 9403, 9613, 10177, 11471, 11621, 11677, 12251, 12479, 12671, 12781

Offset

1,1

Links

Table of n, a(n) for n=1..50.

Example

43 is a term because (21 + 25 + 33 + 35 + 39 + 49 + 51 + 55 + 57 + 65)/10 = 43 is prime.
449 is a term because (417 + 427 + 437 + 445 + 447 + 451 + 453 + 469 + 471 + 473)/10 = 449 is prime.

Mathematica

Select[Mean /@ Partition[Select[Range[1, 13000, 2], PrimeOmega[#] == 2 &], 10, 1], PrimeQ] (* Amiram Eldar, Sep 25 2023 *)

Crossrefs

Cf. A000040, A046315.

Cf. A363074, A363187, A363188, A364147, A364148, A364149, A364320, A364321.

Sequence in context: A080104 A095744 A156252 * A306627 A342771 A174818

Adjacent sequences: A364686 A364687 A364688 * A364690 A364691 A364692

Keyword

nonn

Author

Elmo R. Oliveira, Sep 25 2023

Status

approved