Homepage › Solution manuals › Kenneth Ireland › A Classical Introduction to Modern Number Theory › Exercise 1.11

A Classical Introduction to Modern Number Theory

Exercise 1.11

Show that $(a, a + k) ∣ k$ .

Answers

Proof. Let $d = a \land (a + k)$ . As $d ∣ a, d ∣ (a + k)$ , $d ∣ k = (a + k) - a$ .

Conclusion : $a \land (a + k) ∣ k .$ □

2022-07-19 00:00

Comments