

A163791


a(n) is the nth J_11prime (Josephus_11 prime).


2



3, 9, 27, 47, 63, 185, 617, 15189, 56411, 182439, 271607, 658521
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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_11prime if this permutation consists of a single cycle of length N.
There are 12 J_11primes in the interval 2..1000000 only. No formula is known; the J_11primes have been found by exhaustive search.


REFERENCES

P. R. J. Asveld, Permuting Operations on StringsTheir 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), AddisonWesley, 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) 19151932..


EXAMPLE

All J_11primes are odd.


CROSSREFS

A163782 through A163790 for J_2 through J_10primes. A163792 through A163800 for J_12 through J_20primes.
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



