标题： 椭圆除数序列的原始除数 显示英文标题

标题： Primitive divisors of elliptic divisibility sequences

摘要： Silverman证明了Zsigmondy定理在椭圆除法序列中的类似定理。 对于处于全局最小形式的椭圆曲线，似乎这个结果以统一的方式成立。 我们为某些无限曲线族和点提供了这样的结果。 我们的方法使得首次展示椭圆Zsigmondy定理的显式例子成为可能。 显示英文摘要

摘要： Silverman proved the analogue of Zsigmondy's Theorem for elliptic divisibility sequences. For elliptic curves in global minimal form, it seems likely this result is true in a uniform manner. We present such a result for certain infinite families of curves and points. Our methods allow the first explicit examples of the elliptic Zsigmondy Theorem to be exhibited.