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.

A061274 Number of primes between Pi^(n-1) and Pi^n.

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%I A061274 #14 Jun 14 2024 08:47:17
%S A061274 2,2,7,14,37,100,271,742,2054,5813,16507,47501,137306,399685,1169789,
%T A061274 3438915,10153559,30083443,89426830,266598341,796863253,2387439540,
%U A061274 7168302094,21565117858,64993345011,196202749033,593205591259,1796057856430,5445108651668,16528162238845
%N A061274 Number of primes between Pi^(n-1) and Pi^n.
%H A061274 Amiram Eldar, <a href="/A061274/b061274.txt">Table of n, a(n) for n = 1..52</a> (calculated from the b-file at A071973)
%F A061274 a(n) = A071973(n) - A071973(n-1). - _Amiram Eldar_, Jun 14 2024
%e A061274 a(1) = 2 as 2 and 3 are the two primes between 1 and Pi. a(4) = 14 as there are 14 primes between Pi^3 = 31.006... and Pi^4 = 97.409091...
%p A061274 See A061273.
%t A061274 p = q = 0; Do[m = n; q = PrimePi[Pi^n]; Print[q - p]; p = q, {n, 1, 28}]
%t A061274 Differences[PrimePi[Pi^Range[0,27]]] (* _Harvey P. Dale_, Aug 17 2016 *)
%Y A061274 Cf. A061273, A071973.
%K A061274 nonn
%O A061274 1,1
%A A061274 _Amarnath Murthy_, Apr 25 2001
%E A061274 More terms from Winston C. Yang (winston(AT)cs.wisc.edu), May 17 2001
%E A061274 Edited and extended by _Robert G. Wilson v_, Jun 18 2002
%E A061274 a(28)-a(30) from _Amiram Eldar_, Jun 14 2024