The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A103596 Smallest prime p such that Sum_{primes q <= p} 1/q >= n/4. 0
 2, 2, 3, 5, 11, 29, 73, 277, 1453, 11789, 169751, 5195977, 420055319, 118185163069 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS a(14) > pi(5*10^5). - Robert Price, Dec 10 2013 LINKS MATHEMATICA For[n = 1, n ≤ 17, n++, sum = 0; For[k = 1, k ≤ 10^6, k++, sum = sum + 1/Prime[k]; If[sum >= n/4, Print[Prime[k]]; Break[]]]] Table[m = 1; s = 0; While[(s = s + 1/Prime[m]) < n/4, m++]; Prime[m], {n, 1, 14}] (* Robert Price, Mar 27 2019 *) CROSSREFS Cf. A016088, A046024, A103591-A103600. Sequence in context: A049907 A078445 A127166 * A005426 A014644 A089541 Adjacent sequences:  A103593 A103594 A103595 * A103597 A103598 A103599 KEYWORD nonn AUTHOR James R. Buddenhagen, Mar 28 2005 EXTENSIONS a(1) added by Robert Price, Dec 10 2013 a(13)-a(14) from Robert Price, Dec 10 2013 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified June 23 04:15 EDT 2021. Contains 345395 sequences. (Running on oeis4.)