A103592 a(n) is the smallest prime p such that Sum_{primes q <= p} 1/q >= n/2.

2, 5, 29, 277, 11789, 5195977, 118185163069, 1801241230056600523

Offset

1,1

Links

Table of n, a(n) for n=1..8.

Mathematica

Table[m = 1; s = 0; While[(s = s + 1/Prime[m]) < n/2, m++];
Prime[m], {n, 1, 8}] (* Robert Price, Mar 27 2019 *)

Crossrefs

Cf. A016088, A046024, A103591-A103600.

Sequence in context: A098682 A108367 A191621 * A209428 A098026 A179823

Adjacent sequences: A103589 A103590 A103591 * A103593 A103594 A103595

Keyword

nonn

Author

James R. Buddenhagen, Mar 28 2005

Extensions

a(7)-a(8) from Martin Raab, Aug 24 2008

a(7) corrected by Martin Raab, Mar 31 2009

Status

approved