A061235 Number of primes between n^4 and (n+1)^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

Vincenzo Librandi, Table of n, a(n) for n = 0..300

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

Cf. A014085, A060199, A062517.

Sequence in context: A131949 A345023 A243763 * A239358 A171494 A201055

Adjacent sequences: A061232 A061233 A061234 * A061236 A061237 A061238

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