login
Smallest number m such that Sum_{k=1..m} 1/prime(k) >= n/4.
0

%I #11 Mar 27 2019 19:08:07

%S 1,1,2,3,5,10,21,59,231,1413,15474,361139,22347214,4833601540

%N Smallest number m such that Sum_{k=1..m} 1/prime(k) >= n/4.

%C a(15) > 5*10^10. - _Robert Price_, Dec 10 2013

%t Table[m = 1; s = 0; While[(s = s + 1/Prime[m]) < n/4, m++];

%t m, {n, 1, 14}] (* _Robert Price_, Mar 27 2019 *)

%Y Cf. A016088, A046024, A103591-A103600.

%K nonn

%O 1,3

%A _James R. Buddenhagen_, Mar 28 2005

%E a(1) and a(13)-a(14) from _Robert Price_, Dec 10 2013