A096513 - OEIS

A096513

Numbers k such that A096509(k) = 2; i.e., the number of prime powers (including primes) in the neighborhood of k with radius ceiling(log(k)) is 2.

%I #8 Mar 23 2024 20:05:29

%S 2,36,37,38,42,48,52,53,55,73,87,88,92,93,94,96,97,113,114,116,117,

%T 118,120,121,137,138,139,140,141,142,144,146,147,148,149,150,156,158,

%U 159,160,180,181,182,183,184,186,188,189,190,200,201,202,203,205,217,221

%N Numbers k such that A096509(k) = 2; i.e., the number of prime powers (including primes) in the neighborhood of k with radius ceiling(log(k)) is 2.

%e k=36 is a term: ceiling(log(36)) = ceiling(3.5835...) = 4, and in [36-4, 36+4] = [32, 40], 32 and 37 are the two corresponding powers of primes.

%Y Cf. A096508-A096519.

%K nonn

%O 1,1

%A _Labos Elemer_, Jul 12 2004