# Mathematics on the Product of Consecutive Integers . Iii ' )

@inproceedings{Erds2004MathematicsOT, title={Mathematics on the Product of Consecutive Integers . Iii ' )}, author={Paul Erd{\"o}s}, year={2004} }

- Published 2004

of k consecutive integers is never an l-th power if k > 1, 1 > 1 2 ) . RIGGE 3 ) and a few months later I 1 ) proved that Ak(n) is never a square, and later RIDGE and 14) proved using the Thue-Siegel theorem that for every l > 2 there exists a k0(l) so that for every k > k0(l) A k(n) is not an l-th power. In 1940 SIEGEL and I proved that there is a constant c so that for k > c, l > 1 A k(n) is not an l-th power, in other words that k o(l) is independent of 1 . Our proof was very similar to that… CONTINUE READING