A115653 Prime numbers which are the sum of distinct double factorials (A006882).

2, 3, 5, 11, 13, 17, 19, 23, 29, 53, 59, 61, 67, 71, 73, 107, 109, 113, 131, 157, 163, 167, 173, 179, 181, 389, 397, 401, 409, 433, 443, 449, 457, 461, 491, 499, 503, 509, 541, 547, 557, 563, 947, 953, 971, 997, 1009, 1013, 1019, 1021, 1051, 1061, 1063

Offset

1,1

Comments

Double factorials 0!! and 1!! are not considered distinct. Note that double factorial (n!!) is different from (n!)!.

Links

Table of n, a(n) for n=1..53.

Example

947 is prime and 947 = 9!! + 2!!.

Crossrefs

Cf. A006882, A115651, A115652, A115654.

Sequence in context: A216509 A075237 A040062 * A042997 A220815 A171600

Adjacent sequences: A115650 A115651 A115652 * A115654 A115655 A115656

Keyword

nonn

Author

Giovanni Resta, Jan 28 2006

Status

approved