The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A082891 Smallest prime p[j] such that quotient q[j], obtained when consecutive prime differences are divided by logarithm of smaller prime,p[j], is larger than n. 7
 2, 7, 1129, 1327, 19609, 31397, 155921, 370261, 1357201, 2010881, 20831323, 20831323 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Is lim superior(q[n])=+infinity? See A082892. LINKS Table of n, a(n) for n=1..12. FORMULA a(n)=Min{p[x]; (p[x+1]-p[x])/log(p[x])>n} EXAMPLE n=1319945: p[n+1]=20831533, p[n]=20831323, d=210, log[20831321]=16.852, q=210/16.852=12.4615>12 and first for >11 too. MATHEMATICA Do[s=(Prime[n+1]-Prime[n])/Log[Prime[n]]//N; If[s>11, Print[{n, Prime[n], Prime[n+1], s, Log[Prime[n]]//N}]], {n, 1000000, 100000000}] CROSSREFS Cf. A082862, A082884-A082890. Sequence in context: A065590 A051249 A056165 * A000653 A128847 A123180 Adjacent sequences: A082888 A082889 A082890 * A082892 A082893 A082894 KEYWORD more,nonn AUTHOR Labos Elemer, Apr 17 2003 STATUS approved

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

Last modified April 15 05:28 EDT 2024. Contains 371667 sequences. (Running on oeis4.)