## Search found 3 matches

- Fri Aug 04, 2017 2:54 am
- Forum: Number Theory
- Topic: Prime and perfect square
- Replies:
**0** - Views:
**3247**

### Prime and perfect square

Determine al primes numbers $(p,q,r)$ such that $p^{q}+q^{r} $ is a perfect square.

- Sat Jul 22, 2017 3:18 pm
- Forum: Algebra
- Topic: Minimum value
- Replies:
**4** - Views:
**51495**

### Minimum value

Determine the minimum value of

$\frac{4x^3}{y}+\frac{y+1}{x}$

with $x>0$ and $y>0$ real numbers.

$\frac{4x^3}{y}+\frac{y+1}{x}$

with $x>0$ and $y>0$ real numbers.

- Mon Jul 03, 2017 4:09 pm
- Forum: Combinatorics
- Topic: Game with cards
- Replies:
**0** - Views:
**3804**

### Game with cards

Three players play the following game. There are three cards each with a different positive integer. In each round the cards are randomly dealt to the players and each receives the number of counters on his card. After two or more rounds, one player has received 20, another 10 and the third 9 counte...