417 is the smallest integer n such that n, n + 1, n + 2, and n + 3 all have different numbers of distinct prime factors: 417 = 3 x 139; 418 = 2 x 11 x 19; 419 is a prime; 420 = 22 x 3 x 5 x 7.
Welcome to the Mathematical Association of America’s NumberADay blog. Every working day, we post a number and offer a selection of that number’s properties.
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