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Primes

Perfect Squares

First 100

1 - 133  (2KB)

First 1,000

1 - 1,197  (20KB)

First 10,000

1 - 11,374  (217KB)

First 100,000

1 - 110,487 (2.5MB)

First 1,000,000

1 - 1,084,605 (6.5MB - zip download only)

 

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For example, the complete prime factorization of 1000000 is:

2 * 2 * 2 * 2 * 2 * 2 * 5 * 5 * 5 * 5 * 5 * 5

The distinct prime factors are 2 and 5, and the number of distinct factors is 2.

The number of distinct prime factors is the subject of the Erdős–Kac theorem. They are denoted ω(n). So ω(1000000) = 2.