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Prime Circle

A prime circle of order $2m$ is a Circular Permutation of the numbers from 1 to $2m$ with adjacent Pairs summing to a Prime. The number of prime circles for $m=1$, 2, ..., are 1, 1, 1, 2, 48, ....


References

Filz, A. ``Problem 1046.'' J. Recr. Math. 14, 64, 1982.

Filz, A. ``Problem 1046.'' J. Recr. Math. 15, 71, 1983.

Guy, R. K. Unsolved Problems in Number Theory, 2nd ed. New York: Springer-Verlag, pp. 105-106, 1994.




© 1996-9 Eric W. Weisstein
1999-05-26