cp's OEIS Frontend

A379156 Positions in A246655 (prime powers) of terms q such that there is no prime between q and the next prime power.

%I A379156 #10 Dec 24 2024 22:13:38
%S A379156 6,14,41,359,3589
%N A379156 Positions in A246655 (prime powers) of terms q such that there is no prime between q and the next prime power.
%C A379156 The powers of primes themselves are 8, 25, 121, 2187, 32761, ... (A068315).
%F A379156 A246655(a(n)) = A068315(n).
%t A379156 v=Select[Range[100],PrimePowerQ];
%t A379156 Select[Range[Length[v]-1],FreeQ[Range[v[[#]],v[[#+1]]],_?PrimeQ]&]
%Y A379156 The prime powers themselves are A068315, for just one prime A379157.
%Y A379156 For perfect powers instead of prime powers we have A274605.
%Y A379156 Positions of 0 in A366835.
%Y A379156 For just one prime we have A379155, for perfect powers A378368.
%Y A379156 A000015 gives the least prime power >= n.
%Y A379156 A000040 lists the primes, differences A001223.
%Y A379156 A000961 lists the powers of primes, differences A057820.
%Y A379156 A031218 gives the greatest prime power <= n.
%Y A379156 A065514 gives the greatest prime power < prime(n), difference A377289.
%Y A379156 A131605 finds perfect powers that are not prime powers.
%Y A379156 A246655 lists the prime powers.
%Y A379156 A366833 counts prime powers between primes, see A053607, A304521.
%Y A379156 Cf. A025474, A046933, A067871, A080101, A080769, A175106, A178700, A345531, A377281, A377287, A377432, A377434.
%K A379156 nonn,more
%O A379156 1,1
%A A379156 _Gus Wiseman_, Dec 22 2024