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A071330 Number of decompositions of n into sum of two prime powers. +0
5
0, 1, 1, 2, 2, 3, 2, 3, 3, 4, 3, 4, 3, 4, 3, 4, 3, 5, 3, 5, 4, 4, 2, 5, 3, 5, 4, 5, 3, 6, 3, 7, 5, 7, 4, 7, 2, 6, 4, 6, 3, 6, 3, 6, 5, 6, 2, 8, 3, 8, 4, 6, 2, 9, 3, 7, 4, 6, 2, 8, 3, 7, 4, 7, 3, 9, 2, 8, 5, 7, 2, 10, 3, 8, 6, 7, 3, 9, 2, 9, 4, 7, 4, 11, 3, 9, 4, 7, 3, 12, 4, 8, 3, 7, 2 (list; graph; listen)
OFFSET

1,4

COMMENT

a(2*n) > 0 (Goldbach's conjecture).

LINKS

T. D. Noe, Table of n, a(n) for n=1..10000

EXAMPLE

10 = 1+3^2 = 2+2^3 = 3+7 = 5+5, therefore a(10) = 4;

11 = 2+3^2 = 3+2^3 = 4+7, therefore a(11) = 3;

12 = 1+11 = 3+3^2 = 2^2+2^3 = 5+7, therefore a(12) = 4;

a(149)=0, as for all x<149: if x prime power then 149-x not.

CROSSREFS

Cf. A000961, A002375, A071331.

Cf. A061358, A109829.

Sequence in context: A063787 A129843 A050430 this_sequence A092333 A107452 A029213

Adjacent sequences: A071327 A071328 A071329 this_sequence A071331 A071332 A071333

KEYWORD

nonn,nice

AUTHOR

Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), May 19 2002

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Last modified September 8 13:07 EDT 2008. Contains 143486 sequences.


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