A364321 Prime numbers that are the exact average of nine consecutive odd semiprimes.

97, 191, 293, 347, 401, 409, 479, 727, 1823, 1931, 2063, 2089, 2897, 2903, 2999, 3061, 3083, 3119, 3571, 3617, 3673, 3727, 3967, 4339, 4373, 4583, 4639, 4703, 4813, 5297, 5347, 5437, 5639, 5821, 6047, 6053, 6311, 6421, 6491, 6529, 6761, 6883, 7283, 7417, 7451, 7949, 8059, 8123, 8237

Offset

1,1

Links

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

Example

97 is a term because (77 + 85 + 87 + 91 + 93 + 95 + 111 + 115 + 119)/9 = 97 is prime.
401 is a term because (381 + 391 + 393 + 395 + 403 + 407 + 411 + 413 + 415)/9 = 401 is prime.

Mathematica

Select[Mean /@ Partition[Select[Range[1, 9000, 2], PrimeOmega[#] == 2 &], 9, 1], PrimeQ] (* Amiram Eldar, Sep 25 2023 *)

Crossrefs

Cf. A000040, A046315.

Cf. A363074, A363187, A363188, A364147, A364148, A364149, A364320, A364689.

Sequence in context: A108655 A107193 A256775 * A142398 A133870 A060329

Adjacent sequences: A364318 A364319 A364320 * A364322 A364323 A364324

Keyword

nonn

Author

Elmo R. Oliveira, Sep 25 2023

Status

approved