If $m,n$ are integers $\gt 2$ then $R(m,n) \leq R(m-1,n)+R(m,n-1)$
36660
Question about the proof of Ramsey's Theorem
37569
Prove that $\binom{n}{r} + \binom{n}{r+1} = \binom{n+1}{r+1} $
135750
Prove that if a and b are integers, then there are unique integers q and r such that $a = bq + r$, $-|b|/2 < r \le |b|/2$
91451
find all positive integer $m,n$
25458
Prove inequalities $2\sqrt{n+1}-2 \leq 1 + 1/\sqrt{2} + 1/\sqrt{3} + .... + 1/\sqrt{n}\leq 2\sqrt{n}-1$
152342
$x_1+x_2+\cdots+x_n\leq M$: Cardinality of Solution Set is $C(M+n, n)$
128093
Regarding the values that n and r can take in $\binom{n}{r}$
49166
$R^n \cong R^m$ iff $n=m$
104903
Lower bound for Ramsey numbers: $R( n + 2 , 3 )>3n$
43478
Prove that: $ m_a + m_b + m_c \le 4R + r $
52157
Prove that $d(n)\leq 2\sqrt{n}$
18477
$(W_1+W_2+\cdots+W_n)^a \leq W_1^a +\cdots + W_n^a$ for $n$ integer, $n\geq 2$, $W\gt 0$ and $a$ constant, real, $0\lt a\lt 1$
36747
$\text{Tor}_0^R(M,N)\simeq M\otimes_R N$
64096
Prove that $||z_1|-|z_2|| \leq |z_1-z_2|$.
70620
From $n=2$ to $n$-ary Euclid lemma $\ p\mid a_1\cdots a_n\Rightarrow\ p\mid a_1\,$ or $\,\cdots\, p\mid a_n$
94784
$\sum_{k=-m}^{n} \binom{m+k}{r} \binom{n-k}{s} =\binom{m+n+1}{r+s+1}$ using Counting argument
118244
An $n$th root inequality: $\sqrt[n]{n} < 1 + \sqrt{2/n}$