The quest for larger primes continues, and researchers are devising new ways to seek them out, including a method that involves integer partitions. Many questions in math have long histories, such as the Langlands conjecture, which has stumped scientists for more than 50 years. The field is replete with paradoxes. For example, if you run the equation 1 – 1 + 1 – 1 + 1 – 1 + ... forever, the answer is not zero and not straightforward. Or consider the following: In a small town, a barber shaves the beards of all men who don’t shave their own. Does he shave himself? Such puzzles (and all statistics) rely on probability, which in itself is something of a paradox because no one really knows what it is.