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.

A060970 Number of fourth powers of primes <= 2^n.

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%I A060970 #26 Mar 23 2025 14:41:05
%S A060970 0,0,0,0,1,1,1,2,2,2,3,3,4,4,5,6,6,8,8,9,11,12,14,16,18,21,24,28,31,
%T A060970 36,42,47,54,62,72,82,97,111,128,149,172,199,229,268,309,360,418,481,
%U A060970 564,651,760,886,1028,1201,1393,1629,1900,2211,2585,3010,3512,4104,4792
%N A060970 Number of fourth powers of primes <= 2^n.
%H A060970 Amiram Eldar, <a href="/A060970/b060970.txt">Table of n, a(n) for n = 0..297</a>
%H A060970 <a href="/index/Pri#primepop">Index entries for sequences related to numbers of primes in various ranges</a>.
%F A060970 a(4*n) = A007053(n). - _Chai Wah Wu_, Jan 23 2025
%F A060970 a(n) = A000720(A018048(n)). - _Amiram Eldar_, Mar 22 2025
%e A060970 For n = 12, the 4th powers of prime not exceeding 2^12 = 4096 are 16, 81, 625, 2401, so a(12) = 4.
%t A060970 Table[ PrimePi[ Floor[ 2^(g/4)//N ] ], {g, 0, 100} ]
%Y A060970 Cf. A000720, A007053, A018048, A030514, A036386, A060967, A060969, A060971.
%K A060970 nonn
%O A060970 0,8
%A A060970 _Labos Elemer_, May 09 2001
%E A060970 Missing a(0)=0 inserted by _Sean A. Irvine_, Jan 09 2023