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This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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

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%I A364689 #32 Oct 09 2023 18:38:06
%S A364689 43,53,73,83,113,373,449,577,971,1259,1327,1381,1499,1543,1847,2239,
%T A364689 2311,2339,2351,2383,2953,3109,3257,3389,4021,4297,4919,5101,5227,
%U A364689 5591,5701,5737,5927,6733,6907,7109,7253,7823,8011,9137,9403,9613,10177,11471,11621,11677,12251,12479,12671,12781
%N A364689 Prime numbers that are the exact average of ten consecutive odd semiprimes.
%e A364689 43 is a term because (21 + 25 + 33 + 35 + 39 + 49 + 51 + 55 + 57 + 65)/10 = 43 is prime.
%e A364689 449 is a term because (417 + 427 + 437 + 445 + 447 + 451 + 453 + 469 + 471 + 473)/10 = 449 is prime.
%t A364689 Select[Mean /@ Partition[Select[Range[1, 13000, 2], PrimeOmega[#] == 2 &], 10, 1], PrimeQ] (* _Amiram Eldar_, Sep 25 2023 *)
%Y A364689 Cf. A000040, A046315.
%Y A364689 Cf. A363074, A363187, A363188, A364147, A364148, A364149, A364320, A364321.
%K A364689 nonn
%O A364689 1,1
%A A364689 _Elmo R. Oliveira_, Sep 25 2023