Prove that each prime divisor of 2p−1, where p is a prime, is greater
than p. (Notice that it follows from this problem that the number of primes
is infinite!)
Prove that each prime divisor of 2p−1, where p is a prime, is greater
than p. (Notice that it follows from this problem that the number of primes
is infinite!)
Not true, let p = 5 then 2p-1 = 9 but the divisors of 9 are not greater than 5.