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

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 56th year, we are closing in on 350,000 sequences, and we’ve crossed 9,700 citations (which often say “discovered thanks to the OEIS”).

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A094661 Numerator of the sum of the ratios of consecutive primes. 2
 3, 19, 137, 1289, 16909, 259087, 4975049, 106267661, 2725447213, 85953848147, 2903947942067, 115669053951809, 5061522951820999, 231945249314081827, 11594813068340357459, 650803589794759938517, 40385350464999429101033 (list; graph; refs; listen; history; text; internal format)
 OFFSET 2,1 LINKS FORMULA a(n) = numerator(sum_{k=1..n} prime(k+1)/prime(k)). MATHEMATICA s=0; lst={}; Do[p=Prime[n]; r=Prime[n+1]; AppendTo[lst, Numerator[s+=r/p]], {n, 3*4!}]; lst (* Vladimir Joseph Stephan Orlovsky, Oct 24 2009 *) PROG (PARI) consec(n) = { y=0; forprime(x=2, n, y+=nextprime(x+1)/x; z=numerator(y); print1(z", ") ) } CROSSREFS Sequence in context: A221297 A138513 A321515 * A094662 A321349 A115750 Adjacent sequences:  A094658 A094659 A094660 * A094662 A094663 A094664 KEYWORD nonn,frac AUTHOR Cino Hilliard, Jun 06 2004 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 December 1 11:30 EST 2021. Contains 349429 sequences. (Running on oeis4.)