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Problem 47


Problem 47


Distinct primes factors

The first two consecutive numbers to have two distinct prime factors are:

14 = 2 × 7 15 = 3 × 5

The first three consecutive numbers to have three distinct prime factors are:

644 = 22 × 7 × 23 645 = 3 × 5 × 43 646 = 2 × 17 × 19

Find the first four consecutive integers to have four distinct prime factors. What is the first of these numbers?


不同的质因数

首次出现连续两个数均有两个不同的质因数是在:

14 = 2 × 7 15 = 3 × 5

首次出现连续三个数均有三个不同的质因数是在:

644 = 22 × 7 × 23 645 = 3 × 5 × 43 646 = 2 × 17 × 19

首次出现连续四个数均有四个不同的质因数时,其中的第一个数是多少?