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A163790 a(n) is the n-th J_10-prime (Josephus_10 prime). 2
2, 17, 98, 174, 181, 238, 6774, 9057, 44929, 54594, 58389 (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 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_10-prime if this permutation consists of a single cycle of length N.

There are 11 J_10-primes in the interval 2..1000000 only. No formula is known; the J_10-primes were 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..11.

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

EXAMPLE

2 is a J_10-prime (trivial).

CROSSREFS

A163782 through A163789 for J_2- through J_9-primes. A163791 through A163800 for J_11- through J_20-primes.

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

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Last modified June 25 12:55 EDT 2019. Contains 324352 sequences. (Running on oeis4.)