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Search: id:A064079
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| A064079 |
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Zsigmondy numbers for a = 3, b = 1: Zs(n, 3, 1) is the greatest divisor of 3^n - 1^n (A024023) that is relatively prime to 3^m - 1^m for all positive integers m < n. |
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+0
8
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| 2, 1, 13, 5, 121, 7, 1093, 41, 757, 61, 88573, 73, 797161, 547, 4561, 3281, 64570081, 703, 581130733, 1181, 368089, 44287, 47071589413, 6481, 3501192601, 398581, 387440173, 478297, 34315188682441, 8401, 308836698141973, 21523361
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OFFSET
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1,1
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COMMENT
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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
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K. Zsigmondy, Zur Theorie der Potenzreste, Monatshefte fuer Mathematik und Physik 3 (1882), 265 - 284
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LINKS
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K. Zsigmondy, Zur Theorie der Potenzreste, Monatsh. f. Math. III. 265-284. Published 1892.
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CROSSREFS
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Cf. A024023, A064078, A064080, A064081, A064082, A064083.
Sequence in context: A037271 A074955 A143663 this_sequence A167584 A112226 A074808
Adjacent sequences: A064076 A064077 A064078 this_sequence A064080 A064081 A064082
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KEYWORD
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nonn
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AUTHOR
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Jens Voss (jens.voss(AT)poet.de), Sep 04 2001
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EXTENSIONS
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More terms from Vladeta Jovovic (vladeta(AT)eunet.rs), Sep 06 2001
Definition corrected by Jerry Metzger, Nov 04 2009
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