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

1,1

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

Mathematica

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

Crossrefs

Cf. A050376, A000040, A000142.

Sequence in context: A297177 A239710 A227921 * A059637 A059308 A075521

Adjacent sequences: A176617 A176618 A176619 * A176621 A176622 A176623

Keyword

nonn

Author

Vladimir Shevelev, Apr 22 2010

Extensions

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

Status

approved