English Dictionary

divisibility sequence

名詞

(number theory, algebra) Any sequence of integers {aₙ}, indexed by the natural numbers, such that if n is divisible by m then aₙ is divisible by aₘ.

日本語の意味

自然数で添字付けされた整数列で、もし n が m で割り切れるなら対応する項 aₙ が aₘ で割り切れるという性質を持つもの。 / 数論や代数学において、n が m の倍数である場合に、序列の n 番目の項が m 番目の項で割り切れるという条件を満たす整数の並び。

A divisibility sequence is an integer sequence {aₙ} such that if n is divisible by m then aₙ is divisible by aₘ.

可除性を満たす整数列とは、n が m で割り切れるときに a_n が a_m で割り切れるような整数列 {a_n} のことです。

意味（1）

(number theory, algebra) Any sequence of integers {aₙ}, indexed by the natural numbers, such that if n is divisible by m then aₙ is divisible by aₘ.

If 𝒞=(C_n)_(n>1) is any divisibility sequence, one says that a prime p is a primitive divisor of C_n if p|C_n but p∤C_1C_2C_n-1. Primitive divisors of certain divisibility sequences were studied by Zsigmondy [37] in the 19ᵗʰ century.

divisibility sequences （ plural ）