cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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

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%I A061235 #25 Jun 11 2024 04:37:54
%S A061235 0,6,16,32,60,96,147,207,283,382,486,619,773,945,1139,1351,1610,1870,
%T A061235 2165,2496,2848,3237,3653,4125,4572,5118,5698,6269,6894,7586,8309,
%U A061235 9033,9907,10656,11616,12522,13509,14552,15639,16708,18009,19140,20527
%N A061235 Number of primes between n^4 and (n+1)^4.
%H A061235 Amiram Eldar, <a href="/A061235/b061235.txt">Table of n, a(n) for n = 0..10000</a> (terms 0..300 from Vincenzo Librandi)
%e A061235 a(3) = 32, as the number of primes between 3^4 = 81 and 4^4 = 256 is 32.
%t A061235 Table[PrimePi[(w+1)^4]-PrimePi[w^4], {w, 0, 100}]
%o A061235 (PARI) a(n) = primepi((n+1)^4) - primepi(n^4); \\ _Michel Marcus_, Apr 29 2017
%o A061235 (Magma) [0] cat [#PrimesInInterval(n^4, (n+1)^4): n in [1..50]]; // _Vincenzo Librandi_, Apr 30 2017
%Y A061235 Cf. A014085, A060199, A062517.
%K A061235 nonn
%O A061235 0,2
%A A061235 _Amarnath Murthy_, Apr 23 2001
%E A061235 More terms from _Labos Elemer_, Jul 10 2001
%E A061235 Edited for consistency by _Peter Munn_, Apr 28 2017