30 divides n_1^4 + n_2^4+...+n_{31}^4, among 31 primes exist 3 consecutive
Source: 2003 Romania JBMO TST 1.2
June 1, 2020
primesnumber theoryconsecutivedividesSum of powers
Problem Statement
Consider the prime numbers . Prove that if divides , then among these numbers one can find three consecutive primes.