Aryabhata
Reputation
60,464
416/400 score
 Oct 25 answered Bounding the integral $\int_{2}^{x} \frac{\mathrm dt}{\log^{n}{t}}$ Oct 25 answered How to prove this binomial identity $\sum_{r=0}^n {r {n \choose r}} = n2^{n-1}$? Oct 24 answered Construction of an infinite set such that any two number from the set are relatively prime Oct 22 answered What is the optimal angle when throwing a stone on a slope? Oct 22 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 Oct 21 answered $\sum\limits_{n=0}^{\infty} \frac{1}{(2n+1)!}$ converges? Oct 20 answered Solving $a^{x} = 10^{2x + 1}$ Oct 20 answered Why does this process, when iterated, tend towards a certain number? (the golden ratio?) Oct 19 answered How do we solve $a \le b^{r}-r$ for $r$? Oct 19 answered Limit of Nested Radical $\sqrt{1 + 2 \sqrt{1+3 \sqrt{1+ \cdots }}}$ Oct 19 answered Number of cut sets and the length of the shortest path? Oct 19 answered Finding all solutions to a Diophantine equation involving partial sums of a given series Oct 18 answered Median of distinct numbers Oct 18 answered Is it possible to get arbitrarily near any acute angle with Pythagorean triangles? Oct 18 answered Reduction from Hamiltonian cycle to Hamiltonian path Oct 18 answered Radius of Convergence of a given Power series Oct 18 answered determining orthonormal matrix of rank N with special first row Oct 17 answered Prove that for any integer $a > 1$ s.t. $\gcd(a, 23) = 1$, $23$ divides $a^{154} - 1$. Oct 17 answered Prove that the sequence$c_1 = 1$, $c_{n+1} = 4/(1 + 5c_n)$ , $n \geq 1$ is convergent and find its limit Oct 16 answered system of equations