

A176620


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


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
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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



