59000s
The 59000s denotes the set of natural numbers ranging from 59000 to 59999 inclusive. The lowest member of the set is 59000, which is an even number, divisible by 2, 5, and 7, but not by 3 or 9. The highest member, 59999, is a prime number. Within this ten‑thousand‑sized interval there are 35 prime numbers, chosen by applying the prime testing algorithms such as Miller‑Rabin for large integers. Numbers in the 59000s contain only the digits 5 and 9 in their thousand‑place positions but may have any combination of the remaining three lower‑order digits. The set intersects the bases of many regional telephone area codes in parts of South America and Central Africa, where 5900‑series prefixes are employed. In computational number theory, the 59000s interest arises in studying mod‑n residue classes because the interval contains a complete residue system modulo 17. The range is used as a case study in exercises for students learning about divisibility rules, prime factorization, and modular arithmetic.