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Perfect Numbers and Mersenne Primes

Lecture no. 23 from the course: Prove It: The Art of Mathematical Argument

Perfect Numbers and Mersenne Primes

Taught by Professor Bruce H. Edwards | 30 min | Categories: The Great Courses Plus Online Mathematics Courses

Investigate the intriguing link between perfect numbers and Mersenne primes. A number is perfect if it equals the sum of all its divisors, excluding itself. Mersenne primes are prime numbers that are one less than a power of 2. Oddly, the known examples of both classes of numbers are 47.


August 8, 2017