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Elaqqad
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I'm currently an undergraduate student in computer science, and especially in theoretical computer science. I like solving and making hard problems in number theory, arithmetic, Combinatorics, Olympiads... . I'm here to help others and to share my ideas with them.

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23 What is wrong with this putative proof? Apr 2 '15
17 How to prove that the Fibonacci sequence is periodic mod 5 without using induction? Jul 12 '15
16 Improvement IMO 1988 $f(f(n))=n+1987$ Jan 28 '15
14 when $F_n^2+F_m^2$ is a square for fibonacci numbers Feb 15 '15
14 Can every even integer greater than four be written as a sum of two twin primes? Mar 8 '15
14 Is this extension of Goldbach's conjecture obviously false? Jul 9 '15
11 Show that for any prime $ p $, there are integers $ x $ and $ y $ such that $ p|(x^{2} + y^{2} + 1) $. May 1 '15
11 Elementary proof for $\sqrt{p_{n+1}} \notin \mathbb{Q}(\sqrt{p_1}, \sqrt{p_2}, \ldots, \sqrt{p_n})$ where $p_i$ are different prime numbers. Apr 11 '15
10 Prove that $14322\mid n^{31} - n$ Apr 9 '15
10 Is it true that $\sum_{n=0}^{\infty}\frac{1}{n^2+2an+b}\in \Bbb Q \iff \exists k\in \Bbb N^+$ such that $a^2-b=k^2 $? May 3 '15
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