Engel's constant

Engel’s constant is a mathematical value related to how the smallest prime factors of natural numbers grow as numbers get larger. Specifically, it measures the average size of the smallest prime dividing numbers in very large sequences. Mathematician Friedrich Engel studied this behavior, and the constant reflects the tendency of these smallest prime factors to increase slowly, converging to a specific value. While the concept is technical, it helps mathematicians understand patterns in prime numbers and the distribution of factors among large numbers, offering insights into fundamental properties of numbers in number theory.