👉 Climbing math, also known as climbing numbers or climbing sequences, is a fascinating concept in number theory that explores the properties of numbers that can be expressed as the sum of distinct prime factors. The core idea is to find numbers whose prime factorizations are "climbing," meaning each prime factor appears exactly once, and the sequence of primes increases as you move from one number to the next. For example, 6 = 2 + 3 (both primes), but 12 = 2^2
3 is not a climbing number because 2 appears twice. The study of climbing numbers involves determining which numbers can be decomposed into such sequences and understanding the constraints and patterns that govern these decompositions. This area of mathematics not only has theoretical interest but also practical applications in cryptography and other computational fields.