This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A164345 #19 Nov 26 2020 03:17:50
%S A164345 1,64,729,1024,4096,15625,16384,32768,59049,117649,262144,531441,
%T A164345 1048576,1771561,2097152,4194304,4782969,4826809,9765625,14348907,
%U A164345 16777216,24137569,47045881,67108864,148035889,244140625,268435456
%N A164345 Powers of primes where the exponents are not powers of primes.
%C A164345 First differs from A164337, after the initial 1 in this sequence: 2^64 = 18446744073709551616 is in sequence A164337, but is not in this sequence.
%C A164345 This sequence contains those powers of primes that are not in sequence A096165.
%H A164345 Reinhard Zumkeller, <a href="/A164345/b164345.txt">Table of n, a(n) for n = 1..1000</a>
%F A164345 Sum_{n>=1} 1/a(n) = 1 + Sum_{k in A024619} P(k) = 1.018407114609068368636..., where P is the prime zeta function. - _Amiram Eldar_, Nov 26 2020
%e A164345 2^12 = 4096. Since 2 is prime, and since 12 is not a power of a prime, then 4096 is in this sequence.
%o A164345 (PARI) isok(k) = if(k==1, return(1)); my(q=isprimepower(k)); (q>1) && !isprimepower(q); \\ _Michel Marcus_, Nov 26 2020
%Y A164345 Cf. A024619, A096165 (complement with respect to A000961), A164337.
%K A164345 nonn
%O A164345 1,2
%A A164345 _Leroy Quet_, Aug 13 2009
%E A164345 Extended beyond 16384 by _R. J. Mathar_, Sep 27 2009