OFFSET
1,1
COMMENTS
Similar to but not identical to A074327.
LINKS
American Institute of Mathematics, San Jose State Math Researcher Experiences Epiphany at American Institute Of Mathematics, March 21, 2003. [Wayback Machine link]
American Institute of Mathematics, Small gaps between consecutive primes. [Wayback Machine link]
American Institute of Mathematics, On the error in Goldston and Yildirim's "Small gaps between consecutive primes". [Wayback Machine link]
EXAMPLE
The values of quotients at primes of this sequence are as follows: 1.442695..., 1.358493..., 1.230719..., 0.348444..., 0.270651..., 0.243658..., 0.139170..., 0.106274..., 0.091976..., 0.065761..., 0.054274... .
MATHEMATICA
q=4; Do[s=(Prime[2^n+1]-Prime[2^n])/Log[Prime[2^n]]//N; If[s<q, Print[{Prime[2^n], s}]; q=s], {n, 0, 30}] (* corrected by Amiram Eldar, Aug 10 2024 *)
CROSSREFS
KEYWORD
nonn,hard,more
AUTHOR
Labos Elemer, Apr 14 2003
EXTENSIONS
Data corrected and extended by Amiram Eldar, Aug 10 2024
STATUS
approved