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Explore the Back-StoryTry this beautiful interesting problem based on Number Theory from PRMO 2016 Problem 2.

The five digit number is a perfect square. Find the value of .

Properties of Perfect Squares

Divisibility Rules of different numbers

Finding the square root of a number

Challenge and Thrill of Pre College Mathematics

PRMO 2016

50

An odd perfect square is of the form

Hence

Hence

Therefore the possible values of b are

So possible numbers are

Now check for the possible values of and calculate the square root to check if it is a perfect square

The only valid solution is

Hence calculate the required expression.

- Similarity Problem from PRMO 2017
- Number Theory Problem from PRMO 2016
- Seeing Number Theory with the lens of Group Theory

Try this beautiful interesting problem based on Number Theory from PRMO 2016 Problem 2.

The five digit number is a perfect square. Find the value of .

Properties of Perfect Squares

Divisibility Rules of different numbers

Finding the square root of a number

Challenge and Thrill of Pre College Mathematics

PRMO 2016

50

An odd perfect square is of the form

Hence

Hence

Therefore the possible values of b are

So possible numbers are

Now check for the possible values of and calculate the square root to check if it is a perfect square

The only valid solution is

Hence calculate the required expression.

- Similarity Problem from PRMO 2017
- Number Theory Problem from PRMO 2016
- Seeing Number Theory with the lens of Group Theory

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