%I A053000
%S A053000 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,
%T A053000 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,
%U A053000 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
%N A053000 (Smallest prime > n^2) - n^2.
%C A053000 Suggested by Legendre's conjecture (still open) that there is always 
               a prime between n^2 and (n+1)^2.
%D A053000 J. R. Goldman, The Queen of Mathematics, 1998, p. 82.
%H A053000 T. D. Noe, <a href="b053000.txt">Table of n, a(n) for n=0..10000</a>
%p A053000 A053000 := n->nextprime(n^2)-n^2;
%Y A053000 Cf. A007491, A053001, A014085, A070316.
%Y A053000 Sequence in context: A113926 A165585 A082506 this_sequence A002070 A106052 
               A050473
%Y A053000 Adjacent sequences: A052997 A052998 A052999 this_sequence A053001 A053002 
               A053003
%K A053000 nonn,easy,nice
%O A053000 0,1
%A A053000 N. J. A. Sloane (njas(AT)research.att.com), Feb 21 2000
%E A053000 More terms from James A. Sellers (sellersj(AT)math.psu.edu), Feb 22 2000