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A127458 Numbers k such that there are no primes between k and k + k^(1/3). 2

%I

%S 3,5,7,8,13,14,19,20,23,24,25,26,31,32,33,37,43,47,48,49,53,54,55,61,

%T 62,63,73,74,83,84,89,90,91,92,113,114,115,116,117,118,119,120,121,

%U 122,131,139,140,141,142,143,151,157,167,173,181,182,183,184,185,199,200,201

%N Numbers k such that there are no primes between k and k + k^(1/3).

%H Amiram Eldar, <a href="/A127458/b127458.txt">Table of n, a(n) for n = 1..2500</a>

%t a = {}; Do[If[PrimePi[x + x^(1/3)] - PrimePi[x] == 0, AppendTo[a, x]], {x, 1, 2000}]; a

%o (PARI) is(n)=(nextprime(n+1)-n)^3>n \\ _Charles R Greathouse IV_, Dec 09 2014

%Y Cf. A127441, A127459.

%K nonn

%O 1,1

%A _Artur Jasinski_, Jan 15 2007

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Last modified July 31 02:33 EDT 2021. Contains 346367 sequences. (Running on oeis4.)