Magic number (mathematics)

In mathematics, a "magic number" refers to specific numbers that have unique significance in certain contexts. For example, in nuclear physics, magic numbers are the number of protons or neutrons in an atomic nucleus that results in greater stability. These numbers are 2, 8, 20, 28, 50, 82, and 126. In other fields, like combinatorics, magic numbers can refer to the counts of objects that create interesting patterns or properties. Overall, magic numbers indicate points of particular importance or stability within a mathematical structure or system.