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A053001
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Largest prime < n^2.
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21
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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; refs; listen; history; internal format)
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OFFSET
| 2,1
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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=2..1000
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MAPLE
| [seq(prevprime(i^2), i=2..100)];
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MATHEMATICA
| Table[Prime[PrimePi[n^2]], {n, 2, 60}] - Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Apr 01 2006
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CROSSREFS
| Cf. A007491, A053000, A014085.
Sequence in context: A081662 A091652 A134197 * A053607 A124129 A101301
Adjacent sequences: A052998 A052999 A053000 * A053002 A053003 A053004
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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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