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A064082
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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.
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4
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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
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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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.
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REFERENCES
| K. Zsigmondy, Zur Theorie der Potenzreste, Monatshefte fuer Mathematik und Physik 3 (1882), 265 - 284
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LINKS
| K. Zsigmondy, Zur Theorie der Potenzreste, Monatsh. f. Math. 3 (1892) 265-284.
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CROSSREFS
| Cf. A024062, A064078, A064079, A064080, A064081, A064083.
Sequence in context: A117751 A093526 A098512 * A090520 A066219 A174267
Adjacent sequences: A064079 A064080 A064081 * A064083 A064084 A064085
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KEYWORD
| nonn
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AUTHOR
| Jens Voss (jens.voss(AT)poet.de), Sep 04 2001
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EXTENSIONS
| More terms from Vladeta Jovovic (vladeta(AT)eunet.rs), Sep 06 2001
Definition corrected by Jerry Metzger, Nov 04 2009
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