%I A046024
%S A046024 3,59,361139,43922730588128390
%N A046024 a(n) = smallest k such that Sum_{ i = 1..k } 1/prime(i) exceeds n.
%C A046024 The corresponding primes prime(a(n)) are in A016088.
%C A046024 Index m for which the prime harmonic number p[ m ] := Sum[ 1/Prime[ k 
               ],{k,1,m} ] >= n.
%H A046024 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               PrimeNumber.html">Link to a section of The World of Mathematics.</
               a>
%H A046024 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               HarmonicSeriesofPrimes.html">Harmonic Series of Primes</a>
%Y A046024 Cf. A004080, A016088.
%Y A046024 Sequence in context: A057175 A142642 A062629 this_sequence A081853 A002738 
               A006432
%Y A046024 Adjacent sequences: A046021 A046022 A046023 this_sequence A046025 A046026 
               A046027
%K A046024 nonn,more,nice
%O A046024 1,1
%A A046024 Eric Weisstein (eric(AT)weisstein.com)
%E A046024 a(4) found by Tomas Oliveira e Silva (tos(AT)det.ua.pt), using the fourth 
               term of A016088. - Dec 14 2005