Marko Škorić

### Questions (97)

 5 Show that if some base can show as linear combination, then vectors in linear combination is linear indepedent 4 If $2n+1$ and $3n+1$ are perfect squares, then prove that $8|n$. 4 Prove that $10|n+3n^3+7n^7+9n^9$ 3 Prove that if $(a,b)=1$ then there exist some $m,n$ such that $a^m+b^n\equiv 1 ($mod $ab)$ 3 Solve equation $n^4+n^2+1=p$, where p is prime number

### Reputation (711)

 +5 Calculate $\sum_{k=1}^n (-1)^{k+1} \binom{n}{k}\frac{1}{k}$ +5 Prove that if $(a,b)=1$ then there exist some $m,n$ such that $a^m+b^n\equiv 1 ($mod $ab)$ +3 Prove is true or not +5 Find all prime number $p$ such that $2^p+p^2$ is prime number

 0 Prove or disprove that this set is a base

### Tags (35)

 0 linear-algebra × 64 0 eigenvalues-eigenvectors × 14 0 matrices × 36 0 modular-arithmetic × 12 0 linear-transformations × 22 0 elementary-number-theory × 9 0 discrete-mathematics × 19 0 orthogonality × 5 0 divisibility × 18 0 polynomials × 4

### Accounts (4)

 Mathematics 711 rep 10 Stack Overflow 127 rep 6 Network Engineering 101 rep 1 Meta Stack Exchange 101 rep