Goldbach Conjecture

Goldbach’s conjecture states that “Every even integer greater than 2 can be written as the sum of two primes.” A prime number is a number that is only divisible by itself and 1.

The problem is that no counter-example or proof has been given for Goldbach’s Conjecture.

Odd Perfect Number

A perfect number N is one in which the sum of its divisors equal N.   This means that first perfect number is 6, because 1, 2, and 3 are its divisors, and when added up are equal to 6.

The problem is that it has yet to be proven whether or not any odd perfect numbers exist.

Graduate School

Do you want to get into graduate school? Did you know that mathematics majors consistently have some of the highest average GRE scores? Better GRE scores means acceptance into better schools and more financial aid.