JBTST V 2010, Problema 1

Moderators: Laurian Filip, Filip Chindea, maky, Cosmin Pohoata

Post Reply
User avatar
Andi Brojbeanu
Bernoulli
Posts: 294
Joined: Sun Mar 22, 2009 6:31 pm
Location: Targoviste (Dambovita)

JBTST V 2010, Problema 1

Post by Andi Brojbeanu »

Fie \( p \) un numar prim, \( p>5 \). Sa se determine numerele naturale nenule \( x \) cu proprietatea ca \( 5p+x \) divide \( 5p^n+x^n \), oricare ar fi \( n\in \mathb{N}^{*} \).
Andi Brojbeanu
profesor, Liceul Teoretic "Lucian Blaga", Cluj-Napoca
Post Reply

Return to “Teoria Numerelor”