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A106033 a(n) is the least number such that n*prime(n)+a(n) is a perfect square. +0
1
2, 3, 1, 8, 9, 3, 2, 17, 18, 34, 20, 40, 43, 23, 24, 52, 21, 58, 23, 24, 67, 26, 27, 73, 75, 78, 28, 29, 88, 91, 32, 33, 103, 35, 114, 40, 120, 47, 48, 136, 57, 142, 68, 157, 160, 62, 83, 112, 113, 214, 217, 116, 223, 135, 26, 156, 43, 158, 41, 40, 161, 59, 259, 260, 104, 103 (list; graph; listen)
OFFSET

1,1

FORMULA

a(n)=(floor[sqrt[n*prime(n)]]+1)^2-n*prime(n)

EXAMPLE

a(10)=34 because 10*prime(10)+a(n)=10*29+34=324=18^2

MATHEMATICA

a[n_]:=(Floor[Sqrt[n*Prime[n]]]+1)^2-n*Prime[n]

CROSSREFS

Sequence in context: A078298 A096063 A101281 this_sequence A121634 A006015 A110292

Adjacent sequences: A106030 A106031 A106032 this_sequence A106034 A106035 A106036

KEYWORD

nonn

AUTHOR

Zak Seidov (zakseidov(AT)yahoo.com), May 05 2005

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Last modified November 27 14:50 EST 2009. Contains 167570 sequences.


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