If the prime exponent of the next unknown 52^{nd} Mersenne prime (if any) cannot be represented as a sum of k < 10 smaller known prime exponents and it is not greater than the total sum of all smaller known prime exponents, then it will be a prime exponent of a Mersenne prime that breaks with the current observations of the limited sample size, truly a first of its kind.
Last fiddled with by Dobri on 20211005 at 06:56
