TOT 060 1984 Spring J-A5 NT property of pairs (8, 9) and (288, 289)
Source:
August 19, 2019
number theoryprimeconsecutive
Problem Statement
The two pairs of consecutive natural numbers and have the following property: in each pair, each number contains each of its prime factors to a power not less than . Prove that there are infinitely many such pairs.(A Andjans, Riga)