What are the next three numbers in this sequence?
6, 28, 496, 8128, ... ?
Please explain how you determined these three numbers.

(In reply to

SK and Gamer, a Penny for your thoughts... by Penny)

SK: "*...provide an answer to the problem (and demonstrate the reasoning behind such interesting facts as the association between perfect numbers and Mersenne primes). All that said, I doubt it will be Penny.*"

Penny: "*Any number of the form... blah blah blah... plug in some numbers... blah blah blah... Therefore the next three numbers in your puzzle are...*"

Hmmm... interesting that Penny who ACTUALLY INTRODUCED into this thread the notion that Mersene primes are the manner to demonstrated what the next few numbers would be... doesn't seem to be able to do any more than CUT AND PASTE an answer... or plug some numbers into a formula.

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Penny... put up or shut up...

Either (1) do what you claim to be able to do... or (2) stop your ranting about what you think you can do, but aren't able to.

I suggest that you either demonstrate WHY that formula might work, or better yet, show the answer (and how you got it) without relying on Mersene primes. But, *sigh*, again, I doubt Penny will be up to the task.

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As for answering your *new* problem(s), you'll just have to submit them, and wait your turn. ;-)