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Netto's Conjecture

The probability that two elements $P_1$ and $P_2$ of a Symmetric Group generate the entire Group tends to 3/4 as $n\to\infty$. This was proven by Dixon in 1967.


Le Lionnais, F. Les nombres remarquables. Paris: Hermann, p. 31, 1983.

© 1996-9 Eric W. Weisstein