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Jaycob Coleman's user avatar
Jaycob Coleman's user avatar
Jaycob Coleman's user avatar
Jaycob Coleman
  • Member for 11 years, 2 months
  • Last seen more than 4 years ago
  • Anchorage, AK
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question
5
Who is attributed with the conjecture that every multiply-perfect number greater than $1$ is even?
Nov 28, 2013
question
3
Is anything like $\phi(n)>\dfrac n{e^\gamma\log\log n},\ \sigma(n)<e^\gamma n\log\log n$ known/conjectured for the generalizations of these functions?
Feb 27, 2015
answer
3
Interactions of number theoretic conjectures and other fields of mathematics
Nov 13, 2013
question
2
Determine whether if $n$ is a primitive pseudoperfect (semiperfect) number, then $\sigma(n)<2^{\sigma_0(n)}$
Oct 18, 2013
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11
Does there exist a closed form for $L_k$ for any $k>3$?
10
Prove that $\forall p \in \Bbb P;p \ne 5,$ $F_{p^n - \left(\frac{5}{p}\right)p^{n-1}} \equiv 0 \mod p^n$
9
Generalizations of $\sum_{m=3n+2}^{\infty}\phi^m=\phi^{3n}$ and $\sum_{m=13n+1}^{\infty}(\sqrt2-1)^m=\dfrac{(\sqrt2-1)^{13n}}{\sqrt2}$
7
Is it sufficient to say that no odd divides an even number to prove it is a power of two?
7
Prove that every practical number is either a power of two or a power of two times a non-trivial polygonal number