perplexus.info :: Numbers : Square challenge

Square challenge (Posted on 2004-01-20)

Find the smallest number that can be expressed as the sum of two (nonzero) perfect squares in two different ways.
_____________

And what if the two perfect squares must be nonzero, positive, and different?

Submitted by SilverKnight

Rating: 3.0000 (3 votes)

Solution: (Hide)

The answer to the first question is 50:
50 = 5² + 5² = 1² + 7²
_____________

The answer to the second question is 65:
65 = 1² + 8² = 4² + 7²

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
re: solution and bonus answer	Charlie	2009-01-26 18:12:02
solution and bonus answer	Dej Mar	2008-09-25 04:39:57
Problem Solution With Explanation	K Sengupta	2007-05-19 04:35:01
answer	K Sengupta	2007-03-08 12:38:58
re: A hardy perennial	Nick Hobson	2005-09-25 22:09:08
re(5): A hardy perennial	P C	2004-02-05 12:45:18
SOLUTION	Ady TZIDON	2004-01-22 13:56:21
The fourth way to solve puzzles	Penny	2004-01-20 15:55:07
re(3): A hardy perennial	SilverKnight	2004-01-20 15:30:42
re(4): A hardy perennial	Penny	2004-01-20 15:27:40
re(2): A hardy perennial	Penny	2004-01-20 15:24:28
re(3): A hardy perennial	SilverKnight	2004-01-20 15:23:54
re: A hardy perennial	Richard	2004-01-20 15:19:23
re(2): A hardy perennial	Penny	2004-01-20 15:07:43
re: A hardy perennial	SilverKnight	2004-01-20 14:49:20
A hardy perennial	Penny	2004-01-20 14:41:45

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