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
Famous quotes containing the word primitive:
“These modern ingenious sciences and arts do not affect me as those more venerable arts of hunting and fishing, and even of husbandry in its primitive and simple form; as ancient and honorable trades as the sun and moon and winds pursue, coeval with the faculties of man, and invented when these were invented. We do not know their John Gutenberg, or Richard Arkwright, though the poets would fain make them to have been gradually learned and taught.”
—Henry David Thoreau (1817–1862)