Puzzle #108: The Double Square Number Problem

While browsing through mind cipher.com, I came across this wonderful puzzle…a good puzzle for those who love to play with numbers.

It’s said that a number N with 4 digits is a double-square number when it equals the sum of the squares of two numbers: one formed by the first two digits of N, in the order they appear in N and the other formed by the two last digits of N in the order they appear in N.

For example, 1233 is a double-square number since 1233 = 12^2 + 33^2. Find another double-square number.

Please send your answers either directly on the blog site as comments, or to me at alokgoyal_2001@yahoo.com. If you like the puzzle, please share it with others. If you have interesting puzzles to share, please send them to me at my e-mail given above.

Happy number crunching!

This entry was posted in Puzzles and tagged , . Bookmark the permalink.

3 Responses to Puzzle #108: The Double Square Number Problem

  1. Suman Saraf says:

    8833

    >

  2. For N with 6 digits : 990100 = 990^2+100^2
    For N with 8 digits : 94122353 = 9412^2+2353^2

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s