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Smallest m greater than the n-th prime such that the arithmetic mean of m and the first n primes is an integer.
1

%I #3 Mar 30 2012 18:50:48

%S 4,4,6,8,14,15,22,22,30,36,32,50,42,49,56,61,64,69,72,75,80,83,86,112,

%T 110,108,108,108,110,143,136,162,154,148,172,163,190,178,206,193,220,

%U 208,234,219,204,238,218,239,262,238,266,241,272,299,270,296,322,293

%N Smallest m greater than the n-th prime such that the arithmetic mean of m and the first n primes is an integer.

%C (a(n) + A007504(n)) mod (n+1) = 0,

%C A100091(n) = (a(n) + A007504(n)) / (n+1).

%K nonn

%O 1,1

%A _Reinhard Zumkeller_, Nov 03 2004