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So I have been trying to find a database that offers perfect numbers. I need this to help me and a friend with a project that we have been working on for a while involving the odd perfect number conjecture and I haven't had any luck finding any such database. If anybody knows of such a database or could suggest how to get hold of a wide array of perfect numbers that I could then use for analysis, it would be greatly appreciated.

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Some links to help you out with finding data:-

  1. http://en.wikipedia.org/wiki/List_of_perfect_numbers
  2. https://oeis.org/A000396/graph
  3. https://oeis.org/A000396/list
  4. http://web.mit.edu/adorai/www/perfectnumbers.html
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There is a few, http://web.mit.edu/adorai/www/perfectnumbers.html and http://www.mersenne.org/primes/ has a note on the sides about perfects

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The even perfect numbers are specific multiples of Mersenne primes: if $2^p - 1$ is prime, then $(2^{p - 1})(2^p - 1)$ is a perfect number.

So if you can't find a database of perfect numbers, the next best thing is a database of Mersenne primes, such as this one: http://www.mersenne.org/primes/ (notice that it has a column for perfect numbers).

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If you meant to include numbers with abundancy index $$I(x) = \dfrac{\sigma(x)}{x}$$ equal to an integer which is at least $3$, then you can check out The Multiply Perfect Numbers Page, last updated by Achim Flammenkamp on 2014-01-25 19:35 UTC+1.

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