Catalan conjecture

Catalan conjecture

[′kä·tə‚län kən‚jek·chər]
(mathematics)
The conjecture that the only pair of consecutive positive integers that are powers of smaller integers is the pair (8,9).
References in periodicals archive ?
Additions to the fourth edition include coverage of unique prime factorization for real quadratic number fields, MihailescuAEs proof of the Catalan conjecture of 1844, and expanded coverage of a wide variety of material from earlier editions.