Question

Determinati numerele prime a ,b,cstiind ca 2a+ 5b+ 6c=74

Answer 1

2a+ 5b+ 6c=74
fiindca 2a si 6c sunt pare=> b=2
2a+6c=64
a+3c=32
pentru a,b,c≠0 , observam ca c<11=> c≤7
daca c=7=>  2a= 22=> a=11
daca c=5=>  2a= 22=> a=17
daca c=3=>  2a= 22=> a=23

 a,b,c∈{(23,2,3),(17,2,5),(11,2,7)}