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!)
A282001 a(n) is the smallest prime p such that there is a multiplicative subgroup H of Z/pZ, of odd size and of index 2n, such that for any two cosets H1 and H2 of H, H1 + H2 contains all of (Z/pZ)\0. 2

%I #9 Feb 05 2017 00:42:24

%S 7,37,103,281,571,613,883,1361,1531,2141,2311,3529,2731,5741,4591,

%T 7393,6563,6373,8779,9241,10039,12893,16699,15313,20551,18773,23167,

%U 21001,24419,24181,30071,32833,32143,35837,37171,44281,44623,43397,48907,52081

%N a(n) is the smallest prime p such that there is a multiplicative subgroup H of Z/pZ, of odd size and of index 2n, such that for any two cosets H1 and H2 of H, H1 + H2 contains all of (Z/pZ)\0.

%C The fact that H is of odd size means H is disjoint from -H. The finite integral relation algebra with n pairs of asymmetric flexible diversity atoms is representable over Z/pZ, where p = a(n).

%H Jeremy F. Alm, <a href="/A282001/b282001.txt">Table of n, a(n) for n = 1..500</a>

%H Jeremy F. Alm, <a href="/A282001/a282001.pdf">Plot of a(n) on n</a>

%Y Cf. A281998.

%K nonn

%O 1,1

%A _Jeremy F. Alm_, Feb 04 2017

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 24 07:54 EDT 2024. Contains 371922 sequences. (Running on oeis4.)