𝔖 Bobbio Scriptorium
✦   LIBER   ✦

An elliptic curve test for Mersenne primes

✍ Scribed by Benedict H. Gross


Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
156 KB
Volume
110
Category
Article
ISSN
0022-314X

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Prime analogues of the ErdΕ‘s–Kac theorem
✍ Yu-Ru Liu πŸ“‚ Article πŸ“… 2006 πŸ› Elsevier Science 🌐 English βš– 146 KB

Let E/Q be an elliptic curve. For a prime p of good reduction, let E(F p ) be the set of rational points defined over the finite field F p . We denote by Ο‰(#E(F p )), the number of distinct prime divisors of #E(F p ). We prove that the quantity (assuming the GRH if E is non-CM) Ο‰(#E(F p ))log log p