The first 2 consecutive whole numbers each having 2 distinct prime factors are 14=2×7 and 15=3×5.

The first 2 consecutive whole numbers each having 3 distinct prime factors are 230=2×5×23 and 231=3×7×11.

The first 3 consecutive whole numbers each having 3 distinct prime factors are 644=2²×7×23, 645=3×5×43 and 646=2×17×19.

Find the first 3 consecutive whole numbers each having 5 distinct prime factors.