A163794 a(n) is the n-th J_14-prime (Josephus_14 prime).

2, 185, 205, 877, 2045, 3454, 6061, 29177, 928954

Offset

1,1

Comments

Place the numbers 1..N (N>=2) on a circle and cyclicly mark the 14th unmarked number until all N numbers 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.

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

Table of n, a(n) for n=1..9.

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

P. R. J. Asveld, Permuting Operations on Strings-Their Permutations and Their Primes, Twente University of Technology, 2014. University link.

Index entries for sequences related to the Josephus Problem

Example

2 is a J_14-prime (trivial).

Crossrefs

Cf. A163782 through A163793 for J_2- through J_13-primes.

Cf. A163795 through A163800 for J_15- through J_20-primes

Sequence in context: A176477 A094483 A258426 * A232703 A135126 A053936

Adjacent sequences: A163791 A163792 A163793 * A163795 A163796 A163797

Keyword

nonn,more

Author

Peter R. J. Asveld, Aug 04 2009

Status

approved