Mohamed Mohamed Sabry Abdel Halim Mohamed El-Nashar

Critical Prime-Index Support-Span Laws for Integers with a Fixed Number of Distinct Prime Factors

Let N>=2 range over the integers as the size cutoff, and fix an integer r>=2. For an integer n having exactly r distinct prime factors, we measure the number K of omitted global prime indices between its smallest and largest support primes. With M_r(N)=pi(N^(1/r))-pi(N^(1/(r+1)))...