sure you are. what are the equivalents of unsolved conjectures in other area's of math in group theory. I know Goldbach has a few semi-interesting requirements. Like the multiplicative inverse mod the first prime in an arithmetic progression of primes of length three, times the multiplicative inverse mod the last of the three primes, is equal to the square of the multiplicative inverse mod the middle of the three primes. anything more interesting? okay it works better outside of mod.