Are There Any Even Perfect Numbers Between Two Primes?

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The discussion focuses on identifying even perfect numbers C where both C-1 and C+1 are prime. It suggests that 6 is a candidate, as it is the only known even perfect number that fits this criterion. Additionally, it notes that all even perfect numbers, except for 6, yield a remainder of 1 when divided by 9. The conversation raises questions about the feasibility of finding all such perfect numbers given that only 47 are currently known. The exploration of this mathematical concept highlights the rarity and uniqueness of even perfect numbers in relation to prime numbers.
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Determine all possible even perfect number(s) C such that each of C-1 and C+1 is a prime number.
 
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Is it even possible to find ALL of these such numbers when only 47 perfect numbers are known?

Anyway, I say 6. That is all :smile:
 

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