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.

5, 7, 43, 37, 311, 31, 55987, 1297, 46873, 1111, 72559411, 1261, 2612138803, 5713, 1406371, 1679617, 3385331888947, 46441, 121871948002099, 1634221, 1822428931, 51828151, 157946044610720563, 1678321, 731325737104301

Offset

1,1

Comments

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.

Links

Table of n, a(n) for n=1..25.

K. Zsigmondy, Zur Theorie der Potenzreste, Monatsh. f. Math. 3 (1892) 265-284.

Crossrefs

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

Sequence in context: A098512 A234040 A292010 * A274907 A213175 A265786

Adjacent sequences: A064079 A064080 A064081 * A064083 A064084 A064085

Keyword

nonn

Author

Jens Voß, Sep 04 2001

Extensions

More terms from Vladeta Jovovic, Sep 06 2001

Definition corrected by Jerry Metzger, Nov 04 2009

Status

approved