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A115653 Prime numbers which are the sum of distinct double factorials (A006882). 3
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified July 4 15:43 EDT 2020. Contains 335448 sequences. (Running on oeis4.)