List questions from perfect-numbers

Published on 27 Nov 2012 - 4:15

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even perfect numbers and primes

Published on 03 Feb 2013 - 8:00

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Discussion on even and odd perfect numbers.

Published on 05 Feb 2013 - 5:44

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If no odd perfect numbers exist (or it is unknown that they do) then how can theorems and proofs exist for them?

Published on 05 Feb 2013 - 20:42

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the last decimal digit of every even perfect number is always 6 or 28.

Published on 24 Mar 2013 - 5:09

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an odd perfect number cannot be a prime number or a product of two prime numbers or power of prime number.

Published on 24 Mar 2013 - 19:00

145

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Is this a valid proof for $I(n^2) \geq \frac{5}{3}$, if $q^k n^2$ is an odd perfect number with special prime $q$?

Published on 01 Aug 2020 - 14:39

144

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Can a multiperfect number be a perfect power?

Published on 26 Mar 2026 - 16:06

180

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On the golden ratio and even perfect numbers

Published on 16 Aug 2020 - 10:27

104

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Is this function multiplicative and if so what is its value at prime powers?

Published on 26 Mar 2026 - 5:54

161

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Two inequalities for proving that there are no odd perfect numbers?

Published on 29 Aug 2020 - 15:51

247

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The 'Factor chain' concept

Published on 31 Aug 2020 - 14:32

361

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Which primes have product equal to their sum plus 1?

Published on 01 Sep 2020 - 4:02

119

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If $q^k n^2$ is an odd perfect number with special prime $q$, does $q^k < n$ imply that $\sigma(q^k) < n$?

Published on 02 Sep 2020 - 11:33

186

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What limit does the following inequality involving the sum of divisors and Euler totient functions reach?

Published on 14 Sep 2020 - 18:06

List Question

Super Perfect numbers

even perfect numbers and primes

Discussion on even and odd perfect numbers.

If no odd perfect numbers exist (or it is unknown that they do) then how can theorems and proofs exist for them?

the last decimal digit of every even perfect number is always 6 or 28.

an odd perfect number cannot be a prime number or a product of two prime numbers or power of prime number.

Is this a valid proof for $I(n^2) \geq \frac{5}{3}$, if $q^k n^2$ is an odd perfect number with special prime $q$?

Can a multiperfect number be a perfect power?

On the golden ratio and even perfect numbers

Is this function multiplicative and if so what is its value at prime powers?

Two inequalities for proving that there are no odd perfect numbers?

The 'Factor chain' concept

Which primes have product equal to their sum plus 1?

If $q^k n^2$ is an odd perfect number with special prime $q$, does $q^k < n$ imply that $\sigma(q^k) < n$?

What limit does the following inequality involving the sum of divisors and Euler totient functions reach?

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