Question

determinati nr prime a si b stiind ca 3a + 16b =54

Answer 1

Numerele prime pana la 54=2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53
a=2
b=3
singura solutie

Answer 2

3a+16b=54⇒16b<54⇒b-numar prim⇒b∈[2,3];
⇒b=2⇒3a+32=54⇒3a=22⇒a=22/3∉N⇒fals;
⇒b=3⇒3a+48=54⇒3a=6⇒a=2⇒numar prim⇒este solutie;
⇒b=3⇒a=2;