For every , let be the set of Composite numbers such that if , GCD (where GCD is the Greatest Common Divisor), then . is the set of Carmichael Numbers. Makowski (1962/1963) proved that there are infinitely many members of for .

**References**

Makowski, A. ``Generalization of Morrow's -Numbers.'' *Simon Stevin* **36**, 71, 1962/1963.

Ribenboim, P. *The Book of Prime Number Records, 2nd ed.* New York: Springer-Verlag, p. 101, 1989.

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1999-05-26