Search found 3 matches

by lizzythebest
Fri Aug 04, 2017 2:54 am
Forum: Number Theory
Topic: Prime and perfect square
Replies: 0
Views: 76

Prime and perfect square

Determine al primes numbers $(p,q,r)$ such that $p^{q}+q^{r} $ is a perfect square.
by lizzythebest
Sat Jul 22, 2017 3:18 pm
Forum: Algebra
Topic: Minimum value
Replies: 0
Views: 69

Minimum value

Determine the minimum value of
$\frac{4x^3}{y}+\frac{y+1}{x}$

with $x>0$ and $y>0$ real numbers.
by lizzythebest
Mon Jul 03, 2017 4:09 pm
Forum: Combinatorics
Topic: Game with cards
Replies: 0
Views: 160

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...