%I #17 Jun 27 2022 10:02:56
%S 0,0,0,1,0,1,0,0,1,1,1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,1,1,2,1,1,0,0,0,1,
%T 1,1,0,1,1,2,1,1,0,1,1,1,0,0,0,1,1,1,0,0,1,1,2,2,1,1,0,0,1,1,1,1,1,1,
%U 2,2,1,1,0,0,1,1,1,1,1,1,1,1,0,0,1,1,1
%N Number of primes between n and n+log(n), exclusive.
%C Inspired by A275235.
%t a[n_] := Count[Range[n + 1, n + Log[n]], _?PrimeQ]; Array[a, 100] (* _Amiram Eldar_, Jun 08 2022 *)
%o (PARI) a(n) = primepi(n+log(n)) - primepi(n); \\ _Michel Marcus_, Jun 25 2022
%Y Cf. A275235 (similar, but with n+log(n)^2), A354842.
%K nonn
%O 1,28
%A _Bernard Schott_, Jun 08 2022