On the equation P(x) = n! and a question of Erdo{combining double acute accent}s Academic Article uri icon

abstract

  • Given a polynomial P of degree ≥ 2 with integer coefficients, it is shown that the set of n , for which the equation P ( x ) = n ! has an integer solution x , is of density zero. This answers in particular a question of Erdős.

publication date

  • January 1, 1992