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A061235
Number of primes between n^4 and (n+1)^4.
4
0, 6, 16, 32, 60, 96, 147, 207, 283, 382, 486, 619, 773, 945, 1139, 1351, 1610, 1870, 2165, 2496, 2848, 3237, 3653, 4125, 4572, 5118, 5698, 6269, 6894, 7586, 8309, 9033, 9907, 10656, 11616, 12522, 13509, 14552, 15639, 16708, 18009, 19140, 20527
OFFSET
0,2
LINKS
Amiram Eldar, Table of n, a(n) for n = 0..10000 (terms 0..300 from Vincenzo Librandi)
EXAMPLE
a(3) = 32, as the number of primes between 3^4 = 81 and 4^4 = 256 is 32.
MATHEMATICA
Table[PrimePi[(w+1)^4]-PrimePi[w^4], {w, 0, 100}]
PROG
(PARI) a(n) = primepi((n+1)^4) - primepi(n^4); \\ Michel Marcus, Apr 29 2017
(Magma) [0] cat [#PrimesInInterval(n^4, (n+1)^4): n in [1..50]]; // Vincenzo Librandi, Apr 30 2017
CROSSREFS
KEYWORD
nonn
AUTHOR
Amarnath Murthy, Apr 23 2001
EXTENSIONS
More terms from Labos Elemer, Jul 10 2001
Edited for consistency by Peter Munn, Apr 28 2017
STATUS
approved