Discriminant Exponent Calculator

If you fix a degree n and a prime p, we can consider all number fields of degree n and their field discriminants. In the factorization of these discriminants, we consider the exponent of the prime p. This calculator determines the maximum such exponent. Just enter values for the degree and the prime, and hit the Compute button.

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On one hand, the compuations carried out by this calculator are trivial. On the other hand, I have had to compute such numbers pretty frequently over the past few years in developing this web site. I would have happily traded the inverse hyperbolic tangent key on my pocket calculator for a maximum discriminant exponent key.

John Jones
Last modified: Mon Jan 12 21:43:16 MST 1998