login
Greatest k such that (k-th prime) < (4 times n-th prime).
8

%I #10 Nov 21 2013 12:46:11

%S 4,5,8,9,14,15,19,21,24,30,30,34,38,39,42,47,51,53,56,61,61,65,67,71,

%T 76,79,80,82,84,87,96,99,101,101,108,110,114,118,121,125,127,128,135,

%U 136,138,138,146,154,155,156,158,162,162,168,172,177,180,180,185,188

%N Greatest k such that (k-th prime) < (4 times n-th prime).

%t Table[PrimePi[NextPrime[4Prime[n],-1]],{n,60}] (* _Harvey P. Dale_, Jan 15 2012 *)

%Y Cf. A020900, A020901, A020934-A020940.

%K nonn

%O 1,1

%A _Clark Kimberling_

%E More terms from _Henry Bottomley_, Nov 13 2000