Rank: Newbie
Groups: Registered Users
Joined: 4/5/2012
Posts: 1
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How can I find the set of positive integers S={a,b,c,d,e,f,g,h,i} such that:
- a+b, b+c, a+c are squares,
- d+e, e+f, d+f are squares,
- g+h, h+i, g+i are squares,
- a+b+c=d+e+f=g+h+i is square?
If there are several solutions then choose with minimal a+b+c.
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Rank: Newbie
Groups: Registered Users
Joined: 5/3/2012
Posts: 1
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a = 17, b = 32, c = 32, d = 17, e = 32, f = 32, g = 17, h = 32, i = 32
a + b = d + e = g + h = 49
b + c = e + f = h + i = 64
a + c = d + f = g + i = 49
a + b + c = d + e + f = g + h + i = 81
MP
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