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Omni-MATH / Compute the number of integers n∈{1,2,…,300} such that n is the product of two distinct primes, and is also the length of the longest leg of some nondegenerate right triangle with …

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problem

Compute the number of integers n∈{1,2,…,300}n \in\{1,2, \ldots, 300\} such that nn is the product of two distinct primes, and is also the length of the longest leg of some nondegenerate right triangle with integer side lengths.
Plain-text mathematical notation (without MathML)
Compute the number of integers n∈{1,2,…,300} such that n is the product of two distinct primes, and is also the length of the longest leg of some nondegenerate right triangle with integer side lengths.
Original LaTeX notation
Compute the number of integers \(n \in\{1,2, \ldots, 300\}\) such that \(n\) is the product of two distinct primes, and is also the length of the longest leg of some nondegenerate right triangle with integer side lengths.

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