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

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A111931 Smallest prime p such that 1/2, 2/3, 3/4, ..., (m-1)/m are n-th power non-residues modulo p for maximum possible m (=A000236(n)). 1
11, 67, 24077, 29041891, 33699452071 (list; graph; refs; listen; history; text; internal format)
OFFSET
2,1
COMMENTS
A000236(n) is the maximum length of a run of consecutive residues modulo prime p, starting with 1, where no two adjacent elements belong to the same n-th power residue class (in other words, there is no n-th power residue modulo p in the sequence of ratios 1/2, 2/3, ..., (A000236(n)-1)/A000236(n)). a(n) equals the smallest p admitting a run of maximum length A000236(n).
LINKS
EXAMPLE
a(2)=11 since A000236(2)=3 and 1/2=6, 2/3=8 are nonsquares modulo 11, and there is no smaller prime modulo which 1/2 and 2/3 are nonsquares.
CROSSREFS
Sequence in context: A120792 A228032 A145833 * A066433 A038741 A292490
KEYWORD
hard,nonn,more
AUTHOR
Max Alekseyev, Aug 21 2005
EXTENSIONS
a(6) from Don Reble, added by Max Alekseyev, Sep 03 2017
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.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 13 05:19 EDT 2024. Contains 371639 sequences. (Running on oeis4.)