

A163790


a(n) is the nth J_10prime (Josephus_10 prime).


2



2, 17, 98, 174, 181, 238, 6774, 9057, 44929, 54594, 58389
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OFFSET

1,1


COMMENTS

Place the numbers 1..N (N>=2) on a circle and cyclicly mark the 10th unmarked number until all N numbers are marked. The order in which the N numbers are marked defines a permutation; N is a J_10prime if this permutation consists of a single cycle of length N.
There are 11 J_10primes in the interval 2..1000000 only. No formula is known; the J_10primes 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..11.
P. R. J. Asveld, Permuting Operations on Strings and Their Relation to Prime Numbers, Discrete Applied Mathematics 159 (2011) 19151932.


EXAMPLE

2 is a J_10prime (trivial).


CROSSREFS

A163782 through A163789 for J_2 through J_9primes. A163791 through A163800 for J_11 through J_20primes.
Sequence in context: A297727 A002645 A100268 * A129123 A109724 A127533
Adjacent sequences: A163787 A163788 A163789 * A163791 A163792 A163793


KEYWORD

nonn,more


AUTHOR

Peter R. J. Asveld, Aug 05 2009


STATUS

approved



