A103597 Smallest number m such that Sum_{k=1..m} 1/prime(k) >= n/5.

1, 1, 2, 2, 3, 5, 7, 13, 25, 59, 170, 644, 3402, 27178, 361139, 8947437, 474314304

Offset: 1

Author

James R. Buddenhagen, Mar 28 2005

Keywords

• nonn

Comments

a(18) > 5*10^10. - Robert Price, Dec 10 2013

Crossrefs

Cf. A016088, A046024, A103591-A103600.

Programs

Mathematica

Table[m = 1; s = 0; While[(s = s + 1/Prime[m]) < n/5, m++];
m, {n, 1, 17}] (* Robert Price, Mar 27 2019 *)

Extensions

a(2)-a(3) and a(16)-a(17) from Robert Price, Dec 10 2013