The Number of Prime Divisors of a Product of Consecutive Integers (pp. 253-261)
Authors: R. Balasubramanian, Shanta Laishram, T.N. Shorey and R. Thangadurai
Abstract: It is shown under Schinzelís Hypothesis that for a given ℓ ≥ 1, there are infinitely many k such that a product of k consecutive integers each exceeding k is divisible by exactly π(2k)−ℓ prime divisors.