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A053000
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(Smallest prime > n^2) - n^2.
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15
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2, 1, 1, 2, 1, 4, 1, 4, 3, 2, 1, 6, 5, 4, 1, 2, 1, 4, 7, 6, 1, 2, 3, 12, 1, 6, 1, 4, 3, 12, 7, 6, 7, 2, 7, 4, 1, 4, 3, 2, 1, 12, 13, 12, 13, 2, 13, 4, 5, 10, 3, 8, 3, 10, 1, 12, 1, 2, 7, 10, 7, 6, 3, 20, 3, 4, 1, 4, 13, 22, 3, 10, 5, 4, 1, 14, 3, 10, 5, 6, 21, 2, 9, 10, 1, 4, 15, 4, 9, 6, 1, 6, 3, 14
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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COMMENTS
| Suggested by Legendre's conjecture (still open) that there is always a prime between n^2 and (n+1)^2.
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REFERENCES
| J. R. Goldman, The Queen of Mathematics, 1998, p. 82.
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LINKS
| T. D. Noe, Table of n, a(n) for n=0..10000
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MAPLE
| A053000 := n->nextprime(n^2)-n^2;
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MATHEMATICA
| nxt[n_]:=Module[{n2=n^2}, NextPrime[n2]-n2]
nxt/@Range[0, 100] [From Harvey P. Dale, Dec. 20, 2010]
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CROSSREFS
| Cf. A007491, A053001, A014085, A070316.
Sequence in context: A113926 A165585 A082506 * A002070 A106052 A050473
Adjacent sequences: A052997 A052998 A052999 * A053001 A053002 A053003
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KEYWORD
| nonn,easy,nice
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Feb 21 2000
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EXTENSIONS
| More terms from James A. Sellers (sellersj(AT)math.psu.edu), Feb 22 2000
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