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Old 2015-10-14, 22:32   #1
CuriousKit
 
"J. Gareth Moreton"
Feb 2015
Nomadic

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Question Factorising Mersenne composites

I have to ask... beyond a simple curiosity, is there any reason behind attempting to factorise a Mersenne number that has already been proven to be composite? I noticed that the user "westicles" successfully found a factor in 2973,421 - 1 today (October 14th, 2015), even though it's been triple-checked with the Lucas-Lehmer primality test. Of course, the factor found in this case is 88 bits long, so is definitely an impressive find, but is there a good reason for looking for the factors in such composites?
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