## Carmichael's Conjecture

Carmichael's conjecture asserts that there are an Infinite number of Carmichael Numbers. This was proven by Alford et al. (1994).

References

Alford, W. R.; Granville, A.; and Pomerance, C. There Are Infinitely Many Carmichael Numbers.'' Ann. Math. 139, 703-722, 1994.

Cipra, B. What's Happening in the Mathematical Sciences, Vol. 1. Providence, RI: Amer. Math. Soc., 1993.

Guy, R. K. Carmichael's Conjecture.'' §B39 in Unsolved Problems in Number Theory, 2nd ed. New York: Springer-Verlag, p. 94, 1994.

Pomerance, C.; Selfridge, J. L.; and Wagstaff, S. S. Jr. The Pseudoprimes to .'' Math. Comput. 35, 1003-1026, 1980.

Ribenboim, P. The Book of Prime Number Records, 2nd ed. New York: Springer-Verlag, pp. 29-31, 1989.

Schlafly, A. and Wagon, S. Carmichael's Conjecture on the Euler Function is Valid Below .'' Math. Comput. 63, 415-419, 1994.