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Problem 187


Problem 187


Semiprimes

A composite is a number containing at least two prime factors. For example, 15 = 3 × 5; 9 = 3 × 3; 12 = 2 × 2 × 3.

There are ten composites below thirty containing precisely two, not necessarily distinct, prime factors: 4, 6, 9, 10, 14, 15, 21, 22, 25, 26.

How many composite integers, n < 108, have precisely two, not necessarily distinct, prime factors?


半素数

合数是指包含至少两个质因数的整数。例如,15 = 3 × 5;9 = 3 × 3;12 = 2 × 2 × 3。

在小于30的合数中,有十个合数包含恰好两个不一定不同的质因数:4, 6, 9, 10, 14, 15, 21, 22, 25, 26。

有多少个合数n < 108包含恰好两个不一定不同的质因数?