Parimaths - Mathematical Olympiads Club Arithmétique

a a
a b c a b a b
a b +c a b −c
a b a b b 6= 0 |a|≤|b|
a b a < b a ≤b−1
a b d
x y ax +by =d
x y
a b c a bc PGCD(a, b) =
1a c
a b
a b

a b 2a+ 8b9
7a+ 10b
n n2+ 3 n+ 3
n≥2n
n
60 96
a b 60a+ 96b= 12
(a, b)a2+ 2a=b2
120
n3n2+5
2n2+1
3 9 11
a b a b a2
b2a b2
a≥1b≥2ab−1
a= 2 b
a≥2b≥1ab+ 1
a b 2