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Jose Arnaldo Bebita's user avatar
Jose Arnaldo Bebita
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I still wonder where the unicorns are:

Some new results on odd perfect numbers - Part I

Numbers 101

Some recent MathOverflow questions:

If $p^k m^2$ is an odd perfect number with special prime $p$, then $p^k < 2am$ for some positive integer $a < m$

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On J. T. Condict's Senior Thesis on Odd Perfect Numbers
Dec 11, 2011
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13
Has it been proved that odd perfect numbers cannot be triangular?
Mar 25, 2016
question
9
Is there an odd integer $x < 105$ for which it is known that $x \nmid N$, if $N$ is an odd perfect number?
Aug 11, 2014
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6
Re: Mordell's equation $y^2 = x^3 + k$ and perfect numbers
Dec 3, 2010
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6
Does the equation $\sigma(\sigma(x^2))=2x\sigma(x)$ have any odd solutions?
Aug 25, 2020
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6
If $N = qn^2$ is an odd perfect number with $\gcd(q,n)=1$, is it possible to have $q + 1 = \sigma(n)$?
Feb 4, 2016
answer
5
Not especially famous, long-open problems which higher mathematics beginners can understand
Oct 26, 2015
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5
Cyclotomic polynomials in combinatorics
Oct 5, 2013
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5
Algebraic Attacks on the Odd Perfect Number Problem
Oct 28, 2010
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On Sorli's Conjecture Re: OPNs (Circa 2003)
Dec 3, 2010
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Best of MathOverflow, or papers inspired by MathOverflow
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Publicizing conjectures on MO
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When $p$ is an odd prime, is $(p+2)/p$ an outlaw or an index?
17
If $N = q^k n^2$ is an odd perfect number and $n < q^{k+1}$, does it follow that $k > 1$?
13
A conjecture regarding odd perfect numbers
13
Does the equation $\sigma(\sigma(x^2))=2x\sigma(x)$ have any odd solutions?
11
Book on Curry-Howard Isomorphisms