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A056895 If the smallest prime with a square excess of n is p then a(n)^2=p-n. +0
2
1, 1, 2, 3, 6, 5, 4, 9, 8, 7, 6, 7, 10, 15, 8, 9, 24, 11, 12, 21, 16, 13, 12, 13, 16, 15, 14, 17, 18, 31, 20, 27, 20, 23, 18, 19, 22, 21, 20, 23, 24, 23, 24, 27, 28, 29, 30, 25, 38, 39, 26, 31, 30, 35, 28, 45, 34, 31, 42, 31, 34, 33, 32, 33, 36, 35, 34, 75, 40, 37, 36, 41, 48, 45 (list; graph; listen)
OFFSET

1,3

FORMULA

a(n) =sqrt(A056893(n)-n) =A000196(A056893(n)) =sqrt(A056894(n))

EXAMPLE

a(4)=3 because the smallest prime with a square excess of 4 is 13 and 13-4=3^2

CROSSREFS

Cf. A000040, A000196, A002496, A048760, A053186, A056892-A056898.

Adjacent sequences: A056892 A056893 A056894 this_sequence A056896 A056897 A056898

Sequence in context: A056539 A105726 A106452 this_sequence A137761 A100769 A023889

KEYWORD

nonn

AUTHOR

Henry Bottomley (se16(AT)btinternet.com), Jul 05 2000

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Last modified October 12 15:26 EDT 2008. Contains 144830 sequences.


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