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

Author

Elmo R. Oliveira, Jul 10 2023

Keywords

• nonn

Examples

			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.
		

Crossrefs

Cf. A000040, A046315.

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

Programs

Mathematica

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