cp's OEIS Frontend

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.

A060971 Number of fifth powers of primes <= 2^n.

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%I A060971 #25 Mar 23 2025 14:40:16
%S A060971 0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,4,4,4,5,6,6,7,8,9,9,11,11,13,15,16,18,
%T A060971 21,23,25,29,31,34,39,44,47,54,62,68,76,86,97,107,122,137,154,172,193,
%U A060971 217,244,275,309,349,393,442,499,564,635,712,807,914,1028,1163,1315,1482
%N A060971 Number of fifth powers of primes <= 2^n.
%H A060971 Amiram Eldar, <a href="/A060971/b060971.txt">Table of n, a(n) for n = 0..377</a>
%H A060971 <a href="/index/Pri#primepop">Index entries for sequences related to numbers of primes in various ranges</a>.
%F A060971 a(5*n) = A007053(n). - _Chai Wah Wu_, Jan 23 2025
%F A060971 a(n) = A000720(A018117(n)). - _Amiram Eldar_, Mar 22 2025
%e A060971 For n = 10: the 5th powers of primes not exceeding 2^10 = 1024 are 32 and 243, so a(10) = 2.
%t A060971 Table[ PrimePi[ Floor[ 2^(g/5)//N ] ], {g, 0, 150} ]
%Y A060971 Cf. A000720, A007053, A018117, A036386, A050997, A060967, A060969, A060970.
%K A060971 nonn
%O A060971 0,9
%A A060971 _Labos Elemer_, May 09 2001
%E A060971 Missing a(0)=0 inserted by _Sean A. Irvine_, Jan 09 2023