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A perfect number is a positive integer that is equal to the sum of its proper positive divisors.

2 votes
0 answers
221 views

Determine whether if $n$ is a primitive pseudoperfect (semiperfect) number, then $\sigma(n)<...

Determine whether if $n$ is a primitive pseudoperfect (semiperfect) number, then $\sigma(n)<2^{\sigma_0(n)}$. $\sigma_k(n)$ is the division function and $\sigma(n)=\sigma_1(n)$. A number is called p …
Jaycob Coleman's user avatar
5 votes
1 answer
601 views

Who is attributed with the conjecture that every multiply-perfect number greater than $1$ is...

I know that Descartes is considered to be the first to ask whether or not odd perfect numbers exist ($n$ such that $\sigma(n)=2n$, where $\sigma(n)$ is the sum of divisors of $n$), and he also discove …
Jaycob Coleman's user avatar