Aryabhata
Reputation
56,673
397/400 score
 Oct24 answered Construction of an infinite set such that any two number from the set are relatively prime Oct22 answered What is the optimal angle when throwing a stone on a slope? Oct22 answered Find an infinite set of positive integers such that the sum of any two distinct elements has an even number of distinct prime factors Oct21 answered $\sum\limits_{n=0}^{\infty} \frac{1}{(2n+1)!}$ converges? Oct20 answered Solving $a^{x} = 10^{2x + 1}$ Oct20 answered Why does this process, when iterated, tend towards a certain number? (the golden ratio?) Oct19 answered How do we solve $a \le b^{r}-r$ for $r$? Oct19 answered Limit of Nested Radical $\sqrt{1 + 2 \sqrt{1+3 \sqrt{1+ \cdots }}}$ Oct19 answered Number of cut sets and the length of the shortest path? Oct19 answered Finding all solutions to a Diophantine equation involving partial sums of a given series Oct18 answered Median of distinct numbers Oct18 answered Is it possible to get arbitrarily near any acute angle with Pythagorean triangles? Oct18 answered Reduction from Hamiltonian cycle to Hamiltonian path Oct18 answered Radius of Convergence of a given Power series Oct18 answered determining orthonormal matrix of rank N with special first row Oct17 answered Prove that for any integer $a > 1$ s.t. $\gcd(a, 23) = 1$, $23$ divides $a^{154} - 1$. Oct17 answered Prove that the sequence$c_1 = 1$, $c_{n+1} = 4/(1 + 5c_n)$ , $n \geq 1$ is convergent and find its limit Oct16 answered system of equations Oct16 answered Finding an angle within an 80-80-20 isosceles triangle Oct16 answered Proving $1-\exp(-4x^2/ \pi) \ge \text{erf}(x)^2$