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

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A134034 Number of primes between n^K and (n+1)^K, where K is 1.647862393566467... and n is an integer greater than 0. 3
 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 3, 3, 1, 3, 1, 2, 3, 2, 4, 1, 2, 4, 1, 4, 3, 1, 4, 1, 3, 2, 4, 3, 1, 4, 3, 4, 3, 3, 2, 2, 3, 3, 4, 3, 4, 3, 4, 2, 3, 4, 3, 2, 5, 2, 4, 4, 3, 3, 4, 3, 5, 3, 5, 4, 4, 1, 4, 4, 4, 3, 4, 6, 3, 2, 2, 3, 7, 3, 6, 2, 5, 4, 7, 2, 3, 5, 5, 3, 4, 3, 5, 4, 3, 3, 6, 5, 3, 5, 6, 3 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS K is the smallest number such that there is always at least one prime between n^K and (n+1)^K for any integer n>0. This is not the smallest K. See A143898. [From T. D. Noe, Sep 04 2008] LINKS MATHEMATICA k=1.647862393566467; Table[Length[Select[Range[Ceiling[n^k], Floor[(n+1)^k]], PrimeQ]], {n, 150}] [From T. D. Noe, Sep 04 2008] CROSSREFS Cf. A014085, A060715. Sequence in context: A112753 A281007 A023589 * A174886 A157415 A154325 Adjacent sequences:  A134031 A134032 A134033 * A134035 A134036 A134037 KEYWORD nonn AUTHOR Dmitry Kamenetsky, Jan 11 2008 EXTENSIONS Corrected by T. D. Noe, Sep 04 2008 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 May 25 13:44 EDT 2022. Contains 354071 sequences. (Running on oeis4.)