Define a *cool* number as a positive integer \( n \geq 2 \) that satisfies the following:

For all pairs of factors \(a, b\) of \(n\) satisfying \(\gcd (a,b)=1\), then \(a+b-1\) is also a factor of \(n\).

Find the number of cool numbers under 1000.

×

Problem Loading...

Note Loading...

Set Loading...