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Jose Arnaldo Bebita Dris

Philippines

https://arnienumbers.blogspot.com/2017/09/revisiting-some-old-results-on-odd.html

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17 votes

When $p$ is an odd prime, is $(p+2)/p$ an outlaw or an index?

number-theory elementary-number-theory conjectures divisor-sum perfect-numbers asked Jan 9 '17 at 20:24
math.stackexchange.com

17 votes

On J. T. Condict's Senior Thesis on Odd Perfect Numbers

nt.number-theory reference-request perfect-numbers asked Dec 11 '11 at 4:34
mathoverflow.net

16 votes

If $N = q^k n^2$ is an odd perfect number and $n < q^{k+1}$, does it follow that $k > 1$?

elementary-number-theory proof-verification open-problem perfect-numbers asked Mar 15 '14 at 9:56
math.stackexchange.com

11 votes

A conjecture regarding odd perfect numbers

elementary-number-theory conjectures divisor-sum arithmetic-functions perfect-numbers asked Jun 9 '18 at 11:52
math.stackexchange.com

11 votes

Has it been proved that odd perfect numbers cannot be triangular?

nt.number-theory reference-request divisors-multiples perfect-numbers asked Mar 25 '16 at 22:30
mathoverflow.net

10 votes

On odd perfect numbers $N$ given in the Eulerian form $N = {q^k}{n^2}$

number-theory proof-verification divisor-sum perfect-numbers asked Nov 2 '13 at 0:41
math.stackexchange.com

9 votes

Is there an odd integer $x < 105$ for which it is known that $x \nmid N$, if $N$ is an odd perfect number?

nt.number-theory perfect-numbers asked Aug 11 '14 at 14:58
mathoverflow.net

9 votes

How did Descartes come up with the spoof odd perfect number $198585576189$?

number-theory elementary-number-theory math-history divisor-sum perfect-numbers asked Feb 1 '17 at 15:02
math.stackexchange.com

8 votes

What are $x$, $y$ and $z$ if $\frac{x}{y + z} + \frac{y}{x + z} + \frac{z}{x + y} = 4$ and $x$, $y$ and $z$ are whole numbers?

algebra-precalculus diophantine-equations recreational-mathematics asked Jan 17 '17 at 3:14
math.stackexchange.com

7 votes

If $q$ is prime, can $\sigma(q^{k-1})$ and $\sigma(q^k)/2$ be both squares when $q \equiv 1 \pmod 4$ and $k \equiv 1 \pmod 4$?

number-theory elementary-number-theory square-numbers conjectures divisor-sum asked Jul 6 at 6:06
math.stackexchange.com

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