Find the smallest number that can be expressed as the sum of two (nonzero) perfect squares in two different ways.
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And what if the two perfect squares must be nonzero, positive, and different?
The smallest number that can be expressed as the sum of two (non-zero) perfect squares in
two different ways is
50:
12 + 72 and
52 + 52.
The smallest number that can be expressed as the sum of two
different (non-zero) perfect squares
in
two different ways is
65:
12 + 82 and
42 + 72.
The smallest number that can be expressed as the sum of two (non-zero) perfect squares in
three different ways is
425:
52 + 202,
82 + 192 and
132 + 162.
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Posted by Dej Mar
on 2008-09-25 04:39:57 |
solution and bonus answer
