Tumbleweed
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Tumbleweed
What's that ?
A plant native to the western US that breaks off and starts rolling across the great plains in the wind. It is the plant's way of distributing seeds.Quote:
Originally Posted by Elrond
http://www.desertusa.com/mag01/may/papr/tweed.html
From this article it is also called Russian Thistle.
Well, I guess it works, but the answer is more common knowledge: tree leaves.
Find four distinct integers such that the sum of every two and the sum of all four are perfect squares.
Let me know if if got it right.
The problem is: found for integers, a1,a2,a3,a4 for which the following conditions hold:
1. Whatever a,b from {a1,a2,a3,a4}, a+b = perfect square
2. a1+a2+a3+a4 = perfect square
Do you mean natural numvers (>0) or integers that also can be negative?
Natural numbers -> >0Quote:
Originally Posted by cilu
And I guess the numbers must all be different ...
No such 4 numbers lower than 1000. Perhaps I'll let my PC run over night and check it to 1,000,000 but don't like this question any more... :(
There is an answer with all 4 numbers <11000
With 4 distinct numbers i,j,k,l for which
i+j+k+l = perfect square
i + j = perfect square
i + k = perfect square
i + l = perfect square
j + k = perfect square
j + l = perfect square
k + l = perfect square
?
No, there isn't...
Yes there is. :eek:Quote:
Originally Posted by cilu
Oh, you said <11000 and I read it <1000. Sorry. My Mistake. I'll let you know tomorrow what the 4 numbers are...
Here are the numbers:
386 2114 3970 10430
I have to say thank God for the Athlon 1800+
This was a tough one... :eek:
Of course, a computer can solve that problem, another case if U can solve it using just your mind ;)