Search: id:A053001
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%I A053001
%S A053001 3,7,13,23,31,47,61,79,97,113,139,167,193,223,251,283,317,359,397,439,
%T A053001 479,523,571,619,673,727,773,839,887,953,1021,1087,1153,1223,1291,1367,
%U A053001 1439,1511,1597,1669,1759,1847,1933,2017,2113,2207,2297,2399,2477,2593
%N A053001 Largest prime < n^2.
%C A053001 Suggested by Legendre's conjecture (still open) that there is always 
               a prime between n^2 and (n+1)^2.
%D A053001 J. R. Goldman, The Queen of Mathematics, 1998, p. 82.
%H A053001 T. D. Noe, <a href="b053001.txt">Table of n, a(n) for n=2..1000</a>
%p A053001 [seq(prevprime(i^2),i=2..100)];
%t A053001 Table[Prime[PrimePi[n^2]], {n, 2, 60}] - Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), 
               Apr 01 2006
%Y A053001 Cf. A007491, A053000, A014085.
%Y A053001 Sequence in context: A081662 A091652 A134197 this_sequence A053607 A124129 
               A101301
%Y A053001 Adjacent sequences: A052998 A052999 A053000 this_sequence A053002 A053003 
               A053004
%K A053001 nonn,easy,nice
%O A053001 2,1
%A A053001 N. J. A. Sloane (njas(AT)research.att.com), Feb 21 2000
%E A053001 More terms from James A. Sellers (sellersj(AT)math.psu.edu), Feb 22 2000

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