

A163792


a(n) is the nth J_12prime (Josephus_12 prime).


2



2, 38, 57, 145, 189, 2293, 2898, 6222, 7486, 26793, 45350, 90822, 177773
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OFFSET

1,1


COMMENTS

Place the numbers 1..N (N>=2) on a circle and cyclicly mark the 12th unmarked number until all N numbers are marked. The order in which the N numbers are marked defines a permutation; N is a J_12prime if this permutation consists of a single cycle of length N.
There are 13 J_12primes in the interval 2..1000000 only. No formula is known; the J_12primes were 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..13.
P. R. J. Asveld, Permuting Operations on Strings and Their Relation to Prime Numbers, Discrete Applied Mathematics 159 (2011) 19151932.
Index entries for sequences related to the Josephus Problem


EXAMPLE

2 is a J_12prime (trivial).


CROSSREFS

A163782 through A163791 for J_2 through J_11primes. A163793 through A163800 for J_13 through J_20primes.
Sequence in context: A284309 A227468 A049487 * A050899 A068401 A173026
Adjacent sequences: A163789 A163790 A163791 * A163793 A163794 A163795


KEYWORD

nonn,more


AUTHOR

Peter R. J. Asveld, Aug 04 2009


STATUS

approved



