Prime numbers have fascinated mathematicians for centuries, and recent research is shedding new light on prime gaps—the spaces between consecutive prime numbers. Understanding these gaps helps us uncover deeper patterns in prime distribution, with potential implications for number theory, cryptography, and computational mathematics.
Recent advances have refined upper and lower bounds on prime gaps, providing better insight into how primes are spaced as numbers grow larger. These breakthroughs contribute to long-standing conjectures in mathematics, such as the Twin Prime Conjecture and the Erdős–Rankin bound, helping researchers get closer to resolving fundamental open problems.
Beyond pure mathematics, prime gaps play a crucial role in cryptography, where the unpredictability of primes ensures the security of encryption systems. As research progresses, these findings could impact the efficiency of cryptographic algorithms and number-theoretic applications.