Perfect Numbers and Mersenne Primes
Perfect numbers and Mersenne primes might seem like unrelated branches of math, but work by Euclid and Euler over 2000 years apart showed they are so deeply connected that a one-to-one correspondence exists between the even perfect numbers and the Mersenne primes. The existence of odd perfect numbers remains and unsolved problem.
Produced by Tom Rocks Maths intern Kai Laddiman, with assistance from Dr Tom Crawford. Thanks to St John's College, Oxford for funding the placement.
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