cp's OEIS Frontend

A140785 a(n) = the single integer k, where p(n) <= k <= p(n+1), that is divisible by (p(n+1)-p(n)+1), where p(n) is the n-th prime.

%I A140785 #10 Apr 07 2018 07:21:12
%S A140785 2,3,6,10,12,15,18,20,28,30,35,40,42,45,49,56,60,63,70,72,77,80,84,90,
%T A140785 100,102,105,108,110,120,130,133,138,143,150,154,161,165,168,175,180,
%U A140785 187,192,195,198,208,221,225,228,230,238,240,242,252,259,266,270,273
%N A140785 a(n) = the single integer k, where p(n) <= k <= p(n+1), that is divisible by (p(n+1)-p(n)+1), where p(n) is the n-th prime.
%H A140785 Diana Mecum, <a href="/A140785/b140785.txt">Table of n, a(n) for n = 1..1000</a>
%F A140785 a(n) = (p(n+1)-p(n)+1) * floor(p(n+1)/(p(n+1)-p(n)+1)), where p(n) is the n-th prime.
%t A140785 (#[[2]]-#[[1]]+1)Floor[#[[2]]/(#[[2]]-#[[1]]+1)]&/@Partition[ Prime[ Range[ 60]],2,1] (* _Harvey P. Dale_, Apr 07 2018 *)
%Y A140785 Cf. A076368, A113709.
%K A140785 nonn
%O A140785 1,1
%A A140785 _Leroy Quet_, Jul 13 2008
%E A140785 More terms from _Diana L. Mecum_, Jul 21 2008