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%I #10 Nov 12 2023 06:30:36
%S 1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,5,5,5,5,6,6,6,6,7,7,7,7,7,7,7,7,7,7,
%T 8,8,8,9,9,9,9,9,10,10,10,10,9,10,11,11,11,11,11,11,12,12,13,13,13,13,
%U 14,12,12,12,12,12,12,12,12,12,13,13,13,13,14,14,14,14,15,15,15,15,15,15
%N Maximal number of primes in intervals of size n containing the n-th prime.
%C a(n) = Max(#{p: p prime and prime(n)-n+k+1<=p<=prime(n)+k}: 0<=k<n).
%H Reinhard Zumkeller, <a href="/A154099/b154099.txt">Table of n, a(n) for n = 1..5000</a>
%e a(10) = Max{#{23,29,31}, #{29,31}, #{29,31,37}} = 3;
%e a(12) = Max{#{29,31,37}, #{31,37,41,43}, #{37,41,43,47}} = 4.
%o (PARI) a(n) = my(p=prime(n)); vecmax(vector(n, k, #select(isprime, vector(n, i, prime(n)+k-n+i-1)))); \\ _Michel Marcus_, Nov 12 2023
%Y Cf. A097935, A000720.
%K nonn
%O 1,2
%A _Reinhard Zumkeller_, Jan 05 2009
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