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A094358 Numbers n such that 2^^n == 1 mod n, where 2^^x is A014221(x). +0
2
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; listen)
OFFSET

1,2

COMMENT

641 is first member not in sequences A001317, A004729, etc. Conjecture: the sequence consists of all squarefree products of factors of Fermat numbers (A023394).

LINKS

Robert G. Wilson v, Table of n, a(n) for n = 1..55

Robert Munafo, Sequence A094358, 2^^A(N) = 1 mod N

EXAMPLE

3 is a member because 2^^3 = 16, and 16 == 1 mod 3. 15 is a member because 2^^15 == 1 mod 15. 2^^x is A014221(x).

CROSSREFS

Cf. A023394, A014221, A092188, A001317, A004729.

Sequence in context: A097856 A071593 A018358 this_sequence A003527 A004729 A045544

Adjacent sequences: A094355 A094356 A094357 this_sequence A094359 A094360 A094361

KEYWORD

nonn

AUTHOR

Robert Munafo (mrob(AT)mrob.com), Apr 26 2004

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.


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