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!)
A064082 Zsigmondy numbers for a = 6, b = 1: Zs(n, 6, 1) is the greatest divisor of 6^n - 1^n (A024062) that is relatively prime to 6^m - 1^m for all positive integers m < n. 7

%I #11 Nov 14 2016 00:47:57

%S 5,7,43,37,311,31,55987,1297,46873,1111,72559411,1261,2612138803,5713,

%T 1406371,1679617,3385331888947,46441,121871948002099,1634221,

%U 1822428931,51828151,157946044610720563,1678321,731325737104301

%N Zsigmondy numbers for a = 6, b = 1: Zs(n, 6, 1) is the greatest divisor of 6^n - 1^n (A024062) that is relatively prime to 6^m - 1^m for all positive integers m < n.

%C By Zsigmondy's theorem, the n-th Zsigmondy number for bases a and b is not 1 except in the three cases (1) a = 2, b = 1, n = 1, (2) a = 2, b = 1, n = 6, (3) n = 2 and a+b is a power of 2.

%H K. Zsigmondy, <a href="http://dx.doi.org/10.1007/BF01692444">Zur Theorie der Potenzreste</a>, Monatsh. f. Math. 3 (1892) 265-284.

%Y Cf. A024062, A064078, A064079, A064080, A064081, A064083.

%K nonn

%O 1,1

%A _Jens Voß_, Sep 04 2001

%E More terms from _Vladeta Jovovic_, Sep 06 2001

%E Definition corrected by _Jerry Metzger_, Nov 04 2009

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 10:53 EDT 2024. Contains 371936 sequences. (Running on oeis4.)