Highly cototient number
= Highly cototient number
{wiki=Highly_cototient_number}
A highly cototient number is a natural number \\( n \\) such that the equation \\( x - \\varphi(x) = n \\) has more solutions than any smaller positive integer \\( m \\). Here, \\( \\varphi(x) \\) is the Euler's totient function, which counts the number of integers up to \\( x \\) that are relatively prime to \\( x \\).