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 A378356 #9 Dec 05 2024 19:35:33
%S A378356 1,3,5,5,7,10,10,12,12,16,19,23,26,31,31,32,35,40,45,48,49,54,55,62,
%T A378356 67,69,73,79,86,93,98,100,106,115,123,130,138,147,155,163,169,173,182,
%U A378356 192,201,211,218,220,229,241,252,264,270,275,284,296,307,310,320
%N A378356 Prime index of the next prime after the n-th perfect power.
%H A378356 Michael De Vlieger, <a href="/A378356/b378356.txt">Table of n, a(n) for n = 1..10000</a>
%F A378356 a(n) = A000720(A001597(n)) + 1.
%t A378356 Table[PrimePi[NextPrime[n]],{n,Select[Range[1000],perpowQ]}]
%Y A378356 First differences are A080769.
%Y A378356 Union is A378365.
%Y A378356 A000040 lists the primes, differences A001223.
%Y A378356 A000961 lists the powers of primes, differences A057820.
%Y A378356 A001597 lists the perfect powers, differences A053289.
%Y A378356 A007916 lists the non perfect powers, differences A375706.
%Y A378356 A069623 counts perfect powers <= n.
%Y A378356 A076411 counts perfect powers < n.
%Y A378356 A377432 counts perfect powers between primes, see A377434, A377436, A377466.
%Y A378356 A378249 gives the least perfect power > prime(n), restriction of A377468.
%Y A378356 Cf. A045542, A052410, A065514, A068361, A076412, A081676, A216765, A345531, A377283, A378035, A378250, A378251, A378253.
%K A378356 nonn
%O A378356 1,2
%A A378356 _Gus Wiseman_, Dec 05 2024