Frank

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76 Questions

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20	Evaluating :$\int \frac{1}{x^{10} + x}dx$
12	Prove that there does not exist any positive integers pair $(m, n)$ satisfying: $n(n + 1)(n + 2)(n + 3) = m{(m + 1)^2}{(m + 2)^3}{(m + 3)^4}$
11	Finding all primes $p$ such that $\frac{(11^{p-1}-1)}{p}$ is a perfect square
11	Proving that there exists $a_i \in \{a_1,\dots,a_k\}$ so that for any positive integer $n$ $F(n)$ is divisible by $a_i$
10	proving :$\frac{ab}{a^2+3b^2}+\frac{cb}{b^2+3c^2}+\frac{ac}{c^2+3a^2}\le\frac{3}{4}$.

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0 number-theory × 25	0 algebra-precalculus × 5
0 elementary-number-theory × 10	0 diophantine-equations × 4
0 inequality × 9	0 calculus × 4
0 geometry × 7	0 integration × 4
0 combinatorics × 7	0 integral × 3

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