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A364321 Prime numbers that are the exact average of nine consecutive odd semiprimes. 2
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 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
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
Sequence in context: A108655 A107193 A256775 * A142398 A133870 A060329
KEYWORD
nonn
AUTHOR
Elmo R. Oliveira, Sep 25 2023
STATUS
approved

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Last modified May 19 10:22 EDT 2024. Contains 372683 sequences. (Running on oeis4.)