Question

What is the remainder when 13 to the 51st power is divided by 5?

Answer 1

13¹ mod 5 =13 mod 5 = 3
13²=169 mod 5 = 4
13³=2197 mod 5 = 2
13⁴=28561 mod 5 = 1

13⁵=371293 mod 5 = 3
13⁶=4826809 mod 5 = 4
13⁷=62748517 mod 5 = 2
13⁸=815730721 mod 5 = 1
....

13⁴⁸ mod 5 = 1
13⁴⁹ mod 5 = 3
13⁵⁰ mod 5 = 4
13⁵¹ mod 5 = ?


Note:
13^51=647307989872865201422284359961937038113215496061434545237

Answer 2

yolo