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Great question !

Seems to me that those would be the squares of the primes up to sqrt(500).

4 (1, 2, 4)

9 (1, 3, 9)

25 (1, 5, 25)

49 (1, 7, 49)

121 (1, 11, 121)

169 (1, 13, 169)

289 (1, 17, 289)

361 (1, 19, 361)

There are 8 of them.

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10y ago
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Q: How many positive integers less than or equal to 500 have exactly 3 positive divisors?
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