IMO 1979 LL YUG77

By h(n), where n is an integer greater than 1, let us denote the

imolonglistmathematicsolympiad

IMO 1979 LL YUG77

Origin: YUG

Problem

By h(n), where n is an integer greater than 1, let us denote the greatest prime divisor of the number n. Are there infinitely many numbers n for which h(n) < h(n + 1) < h(n + 2) holds?