Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

I was studying properties of perfect numbers when this question clicked me. Is there any way to find summation of first n perfect numbers?

Is the only way to sum them up is to write them down?

Sorry if my question is too vague but I'm really curious to know as you all are like my teachers.

share|cite|improve this question
A form for the sum of the first $n$ perfect numbers easily leads to a form for the $n$th perfect number. It is still open whether there are infinitely many perfect numbers, or whether any of them are odd, so it's extremely likely there is no easy answer here. – anon Jun 29 '12 at 11:15
Has anyone proved/disapproved existance of infinite perfect numbers sir @anon ? – Bazinga Jun 29 '12 at 11:29
I would certainly approve of an infinity of perfect numbers. – Henning Makholm Jun 29 '12 at 12:41
The existence of infinitely many perfect numbers is as yet neither proved nor disproved. – Gerry Myerson Jun 29 '12 at 12:51

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.