# Cyclic Numbers

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This Demonstration shows the first 10 cyclic numbers.

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Contributed by: Izidor Hafner (December 2016)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

The first 10 values of that produce maximum period decimal expansions (with digits) for are the reptend primes 7, 17, 19, 23, 29, 47, 59, 61, 97 and 109 [1, pp. 171–175].

References

[1] D. G. Wells, *The Penguin Dictionary of Curious and Interesting Numbers*, New York: Penguin Books, 1991.

[2] N. J. A. Sloane. *The On-Line Encyclopedia of Integer Sequences*. "Full Reptend Primes: Primes with Primitive Root 10." oeis.org/A001913.

[3] N. J. A. Sloane. *The On-Line Encyclopedia of Integer Sequences*. "Numbers with Digits Such That the First Multiples Are Cyclic Permutations of the Number, Leading 0's Omitted (or Cyclic Numbers)." oeis.org/A180340.

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