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A094358
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Squarefree products of factors of Fermat numbers (A023394).
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3
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1, 3, 5, 15, 17, 51, 85, 255, 257, 641, 771, 1285, 1923, 3205, 3855, 4369, 9615, 10897, 13107, 21845, 32691, 54485, 65535, 65537, 114689, 163455, 164737, 196611, 274177, 319489, 327685, 344067, 494211, 573445, 822531, 823685, 958467, 974849, 983055
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| 641 is first member not in sequences A001317, A004729, etc.
Conjectured (by Munafo, see link) to be the same as: numbers n such that 2^^n == 1 mod n, where 2^^n is A014221(n).
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LINKS
| Robert G. Wilson and T. D. Noe, Table of n, a(n) for n=1..1314
Robert Munafo, Sequence A094358, 2^^A(N) = 1 mod N
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EXAMPLE
| 3 is a member because it is in A023394. 51 is a member because it is 3*17 and 17 is also in A023394. 153=3*3*17 is not a member because its factorization includes two 3's.
See the Munafo link for examples of the (conjectured) 2^^n == 1 mod n property.
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CROSSREFS
| Cf. A023394, A014221, A092188, A001317, A004729.
Sequence in context: A097856 A071593 A018358 * A003527 A004729 A045544
Adjacent sequences: A094355 A094356 A094357 * A094359 A094360 A094361
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KEYWORD
| nonn
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AUTHOR
| Robert Munafo (mrob(AT)mrob.com), Apr 26 2004
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EXTENSIONS
| Edited by T. D. Noe (noe(AT)sspectra.com), Feb 02 2009
Example brought in line with name/description by Robert Munafo (mrob27(AT)gmail.com), May 18 2011
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