Squarefree smooth numbers and Euclidean prime generators
10 Apr 2017
·
Booker Andrew R.,
Pomerance Carl·
We show that for each prime p > 7, every residue mod p can be represented by
a squarefree number with largest prime factor at most p. We give two
applications to recursive prime generators akin to the one Euclid used to prove
the infinitude of primes.