A364148 Prime numbers that are the exact average of six consecutive odd semiprimes.

23, 79, 109, 491, 599, 797, 809, 853, 953, 1021, 1171, 1289, 1361, 1531, 1543, 1559, 1811, 1951, 1987, 2143, 2179, 2239, 2273, 2309, 2381, 2399, 3169, 3271, 3343, 3371, 3433, 3613, 3701, 4051, 4157, 4297, 4327, 4357, 4457, 4603, 4789, 4871, 5227, 5233, 5443, 5479, 5623, 5711, 5737, 5927, 6073

Offset

1,1

Links

Table of n, a(n) for n=1..51.

Example

23 is a term because (9 + 15 + 21 + 25 + 33 + 35)/6 = 23 is prime.
109 is a term because (93 + 95 + 111 + 115 + 119 + 121)/6 = 109 is prime.

Mathematica

Select[Mean /@ Partition[Select[Range[1, 6000, 2], PrimeOmega[#] == 2 &], 6, 1], PrimeQ] (* Amiram Eldar, Jul 11 2023 *)

Crossrefs

Cf. A000040, A046315.

Cf. A363074, A363187, A363188, A364147, A364149.

Sequence in context: A238677 A302281 A141974 * A142650 A078597 A280576

Adjacent sequences: A364145 A364146 A364147 * A364149 A364150 A364151

Keyword

nonn

Author

Elmo R. Oliveira, Jul 10 2023

Status

approved