Multiplicative functions play a significant role in number theory, particularly in the study of prime numbers and their distribution. These functions, which take on values based on the prime ...

It would fill 20,000 pages in a book. Another way to write ... Nevertheless, the benefits of basic research in number theory—studying the distribution of prime numbers, developing algorithms ...

Prime numbers are divisible only by 1 and themselves. They serve as the “atoms” of mathematics, capable of decomposing other numbers into factors (like 12 = 2 × 2 × 3). As numbers increase, ...

A new proof has brought mathematicians one step closer to understanding the hidden order of those “atoms of arithmetic,” the prime numbers ... of much of modern number theory.