Search: id:A106033
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%I A106033
%S A106033 2,3,1,8,9,3,2,17,18,34,20,40,43,23,24,52,21,58,23,24,67,26,27,73,75,78,
%T A106033 28,29,88,91,32,33,103,35,114,40,120,47,48,136,57,142,68,157,160,62,83,
%U A106033 112,113,214,217,116,223,135,26,156,43,158,41,40,161,59,259,260,104,103
%N A106033 a(n) is the least number such that n*prime(n)+a(n) is a perfect square.
%F A106033 a(n)=(floor[sqrt[n*prime(n)]]+1)^2-n*prime(n)
%e A106033 a(10)=34 because 10*prime(10)+a(n)=10*29+34=324=18^2
%t A106033 a[n_]:=(Floor[Sqrt[n*Prime[n]]]+1)^2-n*Prime[n]
%Y A106033 Sequence in context: A078298 A096063 A101281 this_sequence A121634 A006015 
               A110292
%Y A106033 Adjacent sequences: A106030 A106031 A106032 this_sequence A106034 A106035 
               A106036
%K A106033 nonn
%O A106033 1,1
%A A106033 Zak Seidov (zakseidov(AT)yahoo.com), May 05 2005

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