

A061274


Number of primes between Pi^(n1) and Pi^n.


2



2, 2, 7, 14, 37, 100, 271, 742, 2054, 5813, 16507, 47501, 137306, 399685, 1169789, 3438915, 10153559, 30083443, 89426830, 266598341, 796863253, 2387439540, 7168302094, 21565117858, 64993345011, 196202749033, 593205591259
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OFFSET

1,1


LINKS



EXAMPLE

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...


MAPLE



MATHEMATICA

p = q = 0; Do[m = n; q = PrimePi[Pi^n]; Print[q  p]; p = q, {n, 1, 28}]
Differences[PrimePi[Pi^Range[0, 27]]] (* Harvey P. Dale, Aug 17 2016 *)


CROSSREFS



KEYWORD

nonn


AUTHOR



EXTENSIONS

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


STATUS

approved



