2 is the only even example of, for 10 points each, what numbers whose factors consist only of 1 and themselves?
When properly optimized, the Sieve of Atkins is a modern method for finding them that is faster than the ancient Sieve of Eratosthenes. There are infinitely many of them, and the Riemann hypothesis and Goldbach conjecture speculate on their distribution and the expression on integers as pairs of them, respectively. Really large ones factor into the RSA encryption method commonly used for secure internet transactions while special ones identified by Mersenne are equal to one less than 2 raised to certain powers. 2 is the only even example of, for 10 points each, what numbers whose factors consist only of 1 and themselves?
When properly optimized, the Sieve of Atkins is a modern method for finding them that is faster than the ancient Sieve of Eratosthenes.
{Prime} numbers