Liu, Yu-RuMurty, M. Ram2023-10-032023-10-032006-01https://doi.org/10.1016/j.jnt.2005.02.003http://hdl.handle.net/10012/19984This article is made available through Elsevier's open archive. This article is available here: https://doi.org/10.1016/j.jnt.2005.02.003 © 2006 Elsevier Inc. All rights reserved.We develop a weighted Turán sieve method and applied it to study the number of distinct prime divisors of f (p) where p is a prime and f (x) a polynomial with integer coefficients.enTuran sieveprime divisors of polynomialsnormal order methodA weighted Turán sieve methodArticle