Primes and Primitive Divisors in EDS
It is conjectured that a nonsingular EDS contains only finitely many primes However, all but finitely many terms in a nonsingular EDS admit a primitive prime divisor. Thus for all but finitely many n, there is a prime p such that p divides Wn, but p does not divide Wm for all m < n. This statement is an analogue of Zsigmondy's theorem.
Read more about this topic: Elliptic Divisibility Sequence
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