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Search: id:A062311
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A062311 Number of ways writing n! as a sum of two primes. +0
2
0, 0, 0, 1, 3, 12, 39, 184, 951, 5531, 38713, 346207, 3130812, 34444964 (list; graph; listen)
OFFSET

0,5

COMMENT

Number of unordered pairs of primes (p,q) such that n! = p + q.

FORMULA

In other words, a(n) = A061358(n!) = number of prime+prime partitions of n!.

EXAMPLE

n = 4: 4! = 24 = 5+19 = 7+17 = 11+13 so a(4) = 3.

CROSSREFS

Cf. A061358, A000142. See A140088 for a variant.

Sequence in context: A123109 A110153 A122994 this_sequence A034956 A032093 A007993

Adjacent sequences: A062308 A062309 A062310 this_sequence A062312 A062313 A062314

KEYWORD

nonn,more

AUTHOR

Labos E. (labos(AT)ana.sote.hu), Jul 05 2001

EXTENSIONS

a(9)-a(12) from Hans Havermann (pxp(AT)rogers.com), Apr 29 2008

34444964 from Graeme McRae (g_m(AT)mcraefamily.com), May 02 2008

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Last modified July 4 18:25 EDT 2008. Contains 140886 sequences.


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