login
A062517
Number of primes between n^5 and (n+1)^5.
4
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
Amiram Eldar, Table of n, a(n) for n = 0..4000 (terms 0..83 from Harry J. Smith)
EXAMPLE
a(1) = 11 the number of primes between 1 = 1^5 and 32 = 2^5.
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
KEYWORD
nonn
AUTHOR
Labos Elemer, Jul 10 2001
EXTENSIONS
Edited for consistency by Peter Munn, Apr 30 2017
STATUS
approved