A364149 Prime numbers that are the exact average of seven consecutive odd semiprimes.

31, 41, 617, 677, 937, 947, 1637, 1931, 1979, 2221, 2341, 2447, 2647, 2857, 3373, 3583, 3673, 3823, 3967, 4027, 4049, 4229, 4259, 4339, 4421, 4649, 4861, 4931, 5051, 5179, 5399, 5407, 5507, 5521, 5573, 5987, 6047, 6131, 6143, 6311, 6337, 6703, 6737, 7417, 7717, 7723, 7901, 8059, 8069, 8231, 8647

Offset: 1

Author

Elmo R. Oliveira, Jul 10 2023

Keywords

• nonn

Examples

			31 is a term because (15 + 21 + 25 + 33 + 35 + 39 + 49)/7 = 31 is prime.
617 is a term because (591 + 597 + 611 + 623 + 629 + 633 + 635)/7 = 617 is prime.
		

Crossrefs

Cf. A000040, A046315.

Cf. A363074, A363187, A363188, A364147, A364148.

Programs

Mathematica

Select[Mean /@ Partition[Select[Range[1, 9000, 2], PrimeOmega[#] == 2 &], 7, 1], PrimeQ] (* Amiram Eldar, Jul 11 2023 *)