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A163791 a(n) is the n-th J_11-prime (Josephus_11 prime). 2
3, 9, 27, 47, 63, 185, 617, 15189, 56411, 182439, 271607, 658521 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Place the numbers 1..N (N>=2) on a circle and cyclicly mark the 11th unmarked number until all N numbers are marked. The order in which the N numbers are marked defines a permutation; N is a J_11-prime if this permutation consists of a single cycle of length N.

There are 12 J_11-primes in the interval 2..1000000 only. No formula is known; the J_11-primes have been found by exhaustive search.

REFERENCES

P. R. J. Asveld, Permuting Operations on Strings-Their Permutations and Their Primes, Twente University of Technology, 2014; http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.216.1682; http://doc.utwente.nl/67513/1/pospp.pdf.

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..12.

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

EXAMPLE

All J_11-primes are odd.

CROSSREFS

A163782 through A163790 for J_2- through J_10-primes. A163792 through A163800 for J_12- through J_20-primes.

Sequence in context: A070361 A056024 A116475 * A248078 A057829 A181047

Adjacent sequences:  A163788 A163789 A163790 * A163792 A163793 A163794

KEYWORD

nonn,more

AUTHOR

Peter R. J. Asveld, Aug 04 2009

STATUS

approved

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Last modified October 23 08:57 EDT 2019. Contains 328345 sequences. (Running on oeis4.)