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MostlyHarmless

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Is the size of primes we find only going to be limited by our computing power? Is there any other way of finding mega primes that aren't Mersenne primes(##2^p-1##)?

(Fun facts credited to Adam Spencer from his fascinating TED talk which can be found here: Adam Spencer: Why I fell in love with monster prime numbers #TED : http://on.ted.com/gmnG)