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Search: id:A163792
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| A163792 |
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a(n) is the n-th J_12-prime (Josephus_12 prime) Place the numbers 1..N (N>=2) on a circle and cyclicly mark the 12th unmarked number until all N umbers are marked. The order in which the N numbers are marked defines a permutation; N is a J_12-prime if this permutation consists of a single cycle of length N. |
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3
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| 2, 38, 57, 145, 189, 2293, 2898, 6222, 7486, 26793, 45350, 90822, 177773
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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There are 13 J_12-primes in the interval 2..1000000 only. No formula is known; the J_12-primes were found by exhaustive search.
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REFERENCES
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R. L. Graham, D.E. Knuth & O. Patashnik, Concrete Mathematics (1989), Addison-Wesley, Reading, MA. Sections 1.3 & 3.3.
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LINKS
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P. R. J. Asveld, Permuting Operations on Strings - Their Permutations and Their Primes (2009), TR-CTIT-09-26, Dept. of CS, Twente University of Technology, Enschede, The Netherlands.
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EXAMPLE
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2 is a J_12-prime (trivial).
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CROSSREFS
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A163782 through A163791 for J_2- through J_11-primes. A163793 through A163800 for J_13- through J_20-primes.
Sequence in context: A145798 A110762 A049487 this_sequence A050899 A068401 A050248
Adjacent sequences: A163789 A163790 A163791 this_sequence A163793 A163794 A163795
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KEYWORD
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nonn
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AUTHOR
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P. R. J. Asveld (infprja(AT)cs.utwente.nl), Aug 04 2009
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