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A061274 Number of primes between Pi^(n-1) and Pi^n. 2

%I #6 Aug 17 2016 19:34:50

%S 2,2,7,14,37,100,271,742,2054,5813,16507,47501,137306,399685,1169789,

%T 3438915,10153559,30083443,89426830,266598341,796863253,2387439540,

%U 7168302094,21565117858,64993345011,196202749033,593205591259

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

%e 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 See A061273.

%t p = q = 0; Do[m = n; q = PrimePi[Pi^n]; Print[q - p]; p = q, {n, 1, 28}]

%t Differences[PrimePi[Pi^Range[0,27]]] (* _Harvey P. Dale_, Aug 17 2016 *)

%Y Cf. A061273, A071973.

%K nonn

%O 1,1

%A _Amarnath Murthy_, Apr 25 2001

%E More terms from Winston C. Yang (winston(AT)cs.wisc.edu), May 17 2001

%E Edited and extended by _Robert G. Wilson v_, Jun 18 2002

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Last modified April 14 10:04 EDT 2024. Contains 371657 sequences. (Running on oeis4.)