@standupmaths on Twitter recently tweeted the following:
"Why is every prime squared (p > 3) always one more than a multiple of 24? [ 5x5-1=24,7x7-1=48...]"
I think I've seen this demonstrated true for all Mersenne primes, but am less clear if it is proven (or even provable) for ALL primes? Can anyone confirm...???
1 comment:
Yes its provable for all primes > 3. You can show that p^2-1 is divisible by 3 as well as 8 separately. Since they are co-prime. p^2-1 is divisible by 24.
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