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Search: id:A053001
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| 3, 7, 13, 23, 31, 47, 61, 79, 97, 113, 139, 167, 193, 223, 251, 283, 317, 359, 397, 439, 479, 523, 571, 619, 673, 727, 773, 839, 887, 953, 1021, 1087, 1153, 1223, 1291, 1367, 1439, 1511, 1597, 1669, 1759, 1847, 1933, 2017, 2113, 2207, 2297, 2399, 2477, 2593
(list; graph; listen)
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OFFSET
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2,1
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COMMENT
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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
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J. R. Goldman, The Queen of Mathematics, 1998, p. 82.
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LINKS
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T. D. Noe, Table of n, a(n) for n=2..1000
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MAPLE
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[seq(prevprime(i^2), i=2..100)];
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MATHEMATICA
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Table[Prime[PrimePi[n^2]], {n, 2, 60}] - Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Apr 01 2006
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CROSSREFS
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Cf. A007491, A053000, A014085.
Sequence in context: A081662 A091652 A134197 this_sequence A053607 A124129 A101301
Adjacent sequences: A052998 A052999 A053000 this_sequence A053002 A053003 A053004
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KEYWORD
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nonn,easy,nice
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Feb 21 2000
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EXTENSIONS
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More terms from James A. Sellers (sellersj(AT)math.psu.edu), Feb 22 2000
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