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

0,2

Links

Harry J. Smith, Table of n, a(n) for n = 0..83

Example

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

Mathematica

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

Prog

(PARI) { default(primelimit, 4294965247); for (n=0, 83, write("b062517.txt", n, " ", primepi((n + 1)^5) - primepi((n)^5)) ) } \\ Harry J. Smith, Aug 08 2009

Crossrefs

Cf. A014085, A060199, A061235.

Sequence in context: A055437 A055436 A213772 * A027978 A050489 A156533

Adjacent sequences: A062514 A062515 A062516 * A062518 A062519 A062520

Keyword

nonn

Author

Labos Elemer, Jul 10 2001

Extensions

Edited for consistency by Peter Munn, Apr 30 2017

Status

approved