A176620 Primes p for which the factorization of p! over distinct terms of A050376 does not contain 2.

7, 11, 13, 19, 31, 37, 41, 47, 59, 61, 67, 73, 79, 97, 103, 107, 109, 127, 131, 137, 151, 157, 167, 173, 179, 181, 191, 193, 199, 211, 223, 227, 229, 233, 239, 241, 251, 271, 283, 307, 313, 331, 367, 379, 397, 409, 419, 421, 431, 433, 439, 443, 457, 463, 487

Offset: 1

Author

Vladimir Shevelev, Apr 22 2010

Keywords

• nonn

Comments

Equivalent definition: primes p for which A007814(p!) is even. Apparently, the sequence is A027697 without the 2 (see A014499). [R. J. Mathar, Oct 26 2010]

Links

• Amiram Eldar, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A050376, A000040, A000142.

Programs

Mathematica

Select[Range[500], PrimeQ[#] && EvenQ @ IntegerExponent[#!, 2] &]  (* Amiram Eldar, Sep 13 2019 *)

Extensions

Corrected (37 added, 41 added, 43 removed...) and extended by R. J. Mathar, Oct 26 2010