@article{566c03d9af1346d6a482fa38b4c01d06, title = "Squarefree smooth numbers and Euclidean prime generators", abstract = "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.", author = "Booker, {Andrew R.} and Carl Pomerance", year = "2017", month = "12", day = "1", doi = "10.1090/proc/13576", language = "English", volume = "145", pages = "5035--5042", journal = "Proceedings of the American Mathematical Society", issn = "0002-9939", publisher = "American Mathematical Society", number = "12", }