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A163794 a(n) is the n-th J_14-prime (Josephus_14 prime) Place the numbers 1..N (N>=2) on a circle and cyclicly mark the 14th unmarked number until all N umbers are marked. The order in which the N numbers are marked defines a permutation; N is a J_14-prime if this permutation consists of a single cycle of length N. 2
2, 185, 205, 877, 2045, 3454, 6061, 29177, 928954 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

There are 9 J_14-primes in the interval 2..1000000 only. No formula is known; the J_14-primes were found by exhaustive search.

REFERENCES

R. L. Graham, D.E. Knuth & O. Patashnik, Concrete Mathematics (1989), Addison-Wesley, Reading, MA. Sections 1.3 & 3.3.

LINKS

P. R. J. Asveld, Permuting Operations on Strings  and Their Relation to Prime Numbers, Discrete Applied Mathematics 159 (2011) 1915-1932.

EXAMPLE

2 is a J_14-prime (trivial).

CROSSREFS

A163782 through A163793 for J_2- through J_13-primes. A163795 through A163800 for J_15- through J_20-primes

Sequence in context: A032593 A176477 A094483 * A135126 A053936 A172801

Adjacent sequences:  A163791 A163792 A163793 * A163795 A163796 A163797

KEYWORD

nonn

AUTHOR

P. R. J. Asveld (infprja(AT)cs.utwente.nl), Aug 04 2009

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Last modified February 15 09:49 EST 2012. Contains 205763 sequences.