### Author Topic: Challenging Problem: Computing digits of numbers with integer powers  (Read 925 times)

#### msu_math

• Jr. Member
• Posts: 81
##### Challenging Problem: Computing digits of numbers with integer powers
« on: November 12, 2012, 12:50:28 PM »
Compute the last 3 digits of the number 171172.
« Last Edit: November 14, 2012, 10:00:34 AM by msu_math »

Lecturer in Mathematics
Department of Natural Sciences
FSIT, DIU

#### msu_math

• Jr. Member
• Posts: 81
##### Re: Challenging Problem: Computing digits of numbers with integer powers
« Reply #1 on: November 14, 2012, 09:54:27 AM »
The last digit of 171172 is obviously 1. But finding the other two digits, of course, a difficult task. Since the number 171172 consists of a lot of digits, expanding it directly by using calculator/computer is almost impossible and hand calculation is so tough and lengthy. However, we must recall some theorems and formulas to solve this problem.
« Last Edit: November 14, 2012, 10:02:01 AM by msu_math »