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A103765 Number of times n can be written as sum of a minimal set of primes. +0
2
1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 3, 1, 3, 1, 3, 6, 2, 1, 3, 1, 2, 1, 4, 7, 4, 1, 2, 1, 3, 1, 4, 1, 3, 1, 4, 1, 5, 1, 4, 14, 3, 1, 5, 1, 3, 16, 4, 1, 6, 1, 3, 1, 5, 20, 6, 1, 2, 1, 5, 1, 6, 1, 5, 1, 5, 27, 7, 1, 4, 1, 5, 1, 8, 1, 5, 28, 4, 1, 9, 1, 4, 32, 5, 35, 7, 1, 3, 1, 6, 1, 8, 1 (list; graph; listen)
OFFSET

2,9

COMMENT

A051034 gives the minimal number of primes needed to sum to n;

a(A000040(n)) = 1; a(2*k) = A002375(k) for k>2.

EXAMPLE

A051034(25) = 2: a(25) = #{2+23}=1;

A051034(26) = 2: a(26) = #{3+23, 7+19, 13+13} = 3;

A051034(27) = 3: a(27) = #{3+5+19, 3+7+17, 3+11+13, 5+5+17,

5+11+11, 7+7+13} = 6;

A051034(28) = 2: a(28) = #{5+23, 11+17} = 2;

A051034(29) = 1: a(29) = #{29} = 1.

CROSSREFS

Sequence in context: A105931 A126864 A124766 this_sequence A125029 A062893 A158210

Adjacent sequences: A103762 A103763 A103764 this_sequence A103766 A103767 A103768

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Mar 29 2005

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Last modified December 8 08:31 EST 2009. Contains 170430 sequences.


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