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62 votes

A very general method for proving inequalities. Too good to be true?

inequality proof-verification maxima-minima asked Apr 30, 2017 at 14:23
math.stackexchange.com

24 votes

What's the fastest growing function known to contain infinitely many primes?

number-theory elementary-number-theory reference-request prime-numbers asked Jan 24, 2018 at 21:04
math.stackexchange.com

17 votes

Fibonacci-like sequences mod $p$ where $a_{n+1}$ only really depends on $a_n$.

number-theory elementary-number-theory recurrence-relations finite-fields fibonacci-numbers asked Sep 15, 2020 at 20:57
math.stackexchange.com

16 votes

A very general method for solving inequalities repaired

inequality proof-verification maxima-minima asked May 1, 2017 at 16:20
math.stackexchange.com

12 votes

Fibonacci-like sequences in $\mathbb{F}_q$ where each element only depends on the previous one

nt.number-theory sequences-and-series finite-fields recurrences asked Sep 17, 2020 at 8:14
mathoverflow.net

10 votes

When in September 1939 did the British diplomatic mission leave Warsaw?

world-war-two 20th-century poland great-britain diplomatic-history asked Aug 15, 2019 at 18:25
history.stackexchange.com

9 votes

How much memory does an ant travelling along a graph need in order to decide whether the graph is in fact a tree?

graph-theory algorithms asked Oct 24, 2017 at 17:47
math.stackexchange.com

7 votes

Does $(n^p-1)/(n-1)=m^2$ have any positive integer solutions for $p\ge 2$ prime?

number-theory elementary-number-theory galois-theory algebraic-number-theory diophantine-equations asked Sep 13, 2021 at 13:04
math.stackexchange.com

7 votes

Do there exist functions that grow faster than $ax+b$, slower than $a^x$ and still posses these nice congruence properties?

number-theory elementary-number-theory functions modular-arithmetic congruences asked Nov 2, 2016 at 13:25
math.stackexchange.com

6 votes

How to compute the ring of all $f\in K[X]$ with $f(\mathcal{O}_K)\subseteq \mathcal{O}_K$?

abstract-algebra number-theory polynomials algebraic-number-theory asked Jan 3 at 11:42
math.stackexchange.com

1 2

Top Answers
78
I'm trying to find the longest consecutive set of composite numbers
math.stackexchange.com

54
Does Fermat's Last Theorem imply $\sqrt{2} \not \in \mathbb{Q}$?
math.stackexchange.com

12
Prove that $\binom{n}{0} + 2\binom{n}{1} + ...(n+1)\binom{n}{n} = (n + 2)2^{n-1}$.
math.stackexchange.com

10
Two conjectural infinite series for $\pi$
mathoverflow.net

6
Small primes attract large primes
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6
A conjecture regarding prime numbers
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6
How does $n^4 + 6n^3 + 11n^2 + 6n + 1 = (n^2 + 3n + 1)^2?$
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5
Equation $x = \tau(2^x - 1)$
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5
If $ab+bc+ca+abc=4$, then $\sqrt{ab}+\sqrt{bc}+\sqrt{ca}\leq 3\leq a+b+c$
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5
Proof that ā„¤^n ( for all nāˆˆā„•) is countable
math.stackexchange.com

5
Let $G=\langle a \rangle$. Show that the generators of $G$ are of the form $a^r$ where $\gcd(r,n)=1$
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5
$13$ stones, each has integer weight. Any$ 12$ of them can be split into $2$ groups of $6$ of equal weight. Prove they must all weigh the same
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5
Easiest way to check whether the number is prime or not
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5
How to prove that $\frac{1}{2} \left( 1 - \sqrt{3} \pm i \sqrt{2} \sqrt[4]{3} \right)$ is not a root of unity?
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5
How to solve a limit with a given condition $ f(0)=\frac{1}{3}$?
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5
Does Diophantine equation $1+n+n^2+\dots+n^k=2m^2$ have a solution for $n,k \geq 2$?
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5
$p = (u + v)^2 + uv$ for primes $p = 5k \pm 1$?
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