## 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!

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

1. Suman Saraf says:

8833

>

• Bill Gates says:

Very nice answer – if 12 works then 100-12 has to work!

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