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

1,1

Links

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

Example

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.

Mathematica

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

Crossrefs

Cf. A000040, A046315.

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

Sequence in context: A040180 A158754 A140458 * A101520 A225862 A089713

Adjacent sequences: A364146 A364147 A364148 * A364150 A364151 A364152

Keyword

nonn

Author

Elmo R. Oliveira, Jul 10 2023

Status

approved