%I #16 Feb 01 2020 18:57:03
%S 2,3,5,13,53,277,2741,64663,5195977,2358926351,12041724518809,
%T 1801241230056600523
%N Smallest prime p such that Sum_{primes q <= p} 1/q >= n/3.
%t Table[m = 1; s = 0; While[(s = s + 1/Prime[m]) < n/3, m++];
%t Prime[m], {n, 1, 10}] (* _Robert Price_, Mar 27 2019 *)
%Y Cf. A016088, A046024, A103591-A103600.
%K nonn
%O 1,1
%A _James R. Buddenhagen_, Mar 28 2005
%E a(10) from _Robert Price_, Dec 10 2013
%E a(11) and a(12) copied from A103600(22) and A016088(4), respectively, by _Jon E. Schoenfield_, Feb 01 2020