A103594 Smallest prime p such that Sum_{primes q <= p} 1/q >= n/3.

2, 3, 5, 13, 53, 277, 2741, 64663, 5195977, 2358926351, 12041724518809, 1801241230056600523

Offset: 1

Author

James R. Buddenhagen, Mar 28 2005

Keywords

• nonn

Crossrefs

Cf. A016088, A046024, A103591-A103600.

Programs

Mathematica

Table[m = 1; s = 0; While[(s = s + 1/Prime[m]) < n/3, m++];
Prime[m], {n, 1, 10}] (* Robert Price, Mar 27 2019 *)

Extensions

a(10) from Robert Price, Dec 10 2013

a(11) and a(12) copied from A103600(22) and A016088(4), respectively, by Jon E. Schoenfield, Feb 01 2020