Liu, Yu-Ru2023-10-032023-10-032006-08https://doi.org/10.1016/j.jnt.2005.10.014http://hdl.handle.net/10012/19985This article is made available through Elsevier's open archive. This article is available here: https://doi.org/10.1016/j.jnt.2005.10.014 © 2006 Elsevier Inc. All rights reserved.Let E/Q be an elliptic curve. For a prime p of good reduction, let E(Fp) be the set of rational points defined over the finite field Fp. We denote by ω(#E(Fp)), the number of distinct prime divisors of #E(Fp). We prove that the quantity (assuming the GRH if E is non-CM) ω(#E(Fp)) − log logp √log logp distributes normally. This result can be viewed as a “prime analogue” of the Erdos–Kac theorem. We also study the normal distribution of the number of distinct prime factors of the exponent of E(Fp).enprime divisorsrational pointselliptic curvesArticle