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New posts in perfect-numbers
On odd perfect numbers and a GCD - Part VI
number-theory
solution-verification
gcd-and-lcm
divisor-sum
perfect-numbers
If $N = q^k n^2$ is an odd perfect number with special prime $q$, then can $N$ be of the form $q^k \cdot (\sigma(q^k)/2) \cdot {n}$?
reference-request
solution-verification
gcd-and-lcm
conjectures
perfect-numbers
If $q^k n^2$ is an odd perfect number with special prime $q$, then $n^2 - q^k$ is not a square.
number-theory
elementary-number-theory
alternative-proof
solution-verification
perfect-numbers
On the conjectured inequality $q > k$, where $q^k n^2$ is an odd perfect number with special prime $q$
number-theory
inequality
upper-lower-bounds
divisor-sum
perfect-numbers
Can the cube of every perfect number be written as the sum of three cubes?
number-theory
perfect-numbers
Can an odd perfect number be divisible by $825$?
number-theory
elementary-number-theory
perfect-numbers
Can an odd perfect number be divisible by $105$?
number-theory
elementary-number-theory
perfect-numbers
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