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a(n) = sqrt( A081445(n) )/6.
2

%I #9 Mar 10 2015 11:19:20

%S 1,1,2,1,3,3,1,1,1,2,2,2,1,1,1,5,5,5,3,5,1,3,1,3,4,3,2,1,3,1,4,2,8,4,

%T 1,2,5,3,2,4,3,5,1,2,5,9,2,9,1,4,5,7,3,2,6,1,1,2,4,3,2,1,1,2,2,3,4,1,

%U 2,1,2,5,8,4,4,4,7,1,5,8,3,1,5,8,1,3,7,4,3,6,3,5,1,4,2,4,2,1,1,5,2,1

%N a(n) = sqrt( A081445(n) )/6.

%C Partial maxima are in A081451.

%o (PARI) t=11; for(n=2, 100, for(k=1, 10^8, if(isprime(k^2+t), print1(k/6", "); t=t+k^2; break)))

%Y Cf. A081445.

%K nonn

%O 1,3

%A _Ralf Stephan_, Mar 21 2003