Simply Perfect ... or is it?

Yes or No (or Ambiguous )?

Every even perfect number is a triangular number.

Note : A triangular number is a number that is of the form: n ( n + 1 ) 2 \frac{n(n+1)}{2} and a perfect number is the sum of its divisors (excluding itself)

Yes No

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1 solution

Sonu Gupra
Oct 23, 2018

every perfect number is a form 2^k(2^(k+1)-1) so, 2^(k+1)(2^(k+1)-1)/2=n(n+1)/2 n=2^(k+1)-1

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