A062517 Number of primes between n^5 and (n+1)^5.

0, 11, 42, 119, 273, 540, 954, 1573, 2456, 3624, 5181, 7177, 9666, 12797, 16514, 21098, 26454, 32836, 40134, 48760, 58508, 69714, 82277, 96723, 112702, 130639, 150488, 172617, 197039, 223915, 253318, 285540, 320450, 358839, 400159, 445011, 493504

Offset: 0

Author

Labos Elemer, Jul 10 2001

Keywords

• nonn

Examples

			a(1) = 11 the number of primes between 1 = 1^5 and 32 = 2^5.
		

Links

• Amiram Eldar, Table of n, a(n) for n = 0..4000 (terms 0..83 from Harry J. Smith)

Crossrefs

Cf. A014085, A060199, A061235.

Programs

Mathematica

Table[PrimePi[(w+1)^5]-PrimePi[w^5], {w, 0, 50}]

PARI

a(n) = { primepi((n + 1)^5) - primepi((n)^5) } \\ Harry J. Smith, Aug 08 2009

Extensions

Edited for consistency by Peter Munn, Apr 30 2017