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Discounting one (Posted on 2018-01-10)

Any three of the integers {1, X, Y, Z} add up to a perfect square.

What are X, Y, & Z?

Hint: each is below 100.

No Solution Yet Submitted by Ady TZIDON

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Interesting pattern (II)

Comment 9 of 9 |

1+X+Y=(3m +2)^2

1+Y+Z=(4m +1)^2

1+Y+Z=(5m)^2

X+Y+Z=(5m +1)^2

X=10m +2

Y=9m^2+2m+1

Z=16m^2-2m-2

Table

m 1+X+Y 1+X+Z 1+Y+Z X+Y+Z X Y Z

0 2^2 1 0 1 2 1 -2

1 5^2 5^2 5^2 6^2 12 12 12

2 8^2 9^2 10^2 11^2 22 41 58

3 11^2 13^2 15^2 16^2 32 88 136

4 14^2 17^2 20^2 21^2 42 153 246

... .... .... .... .... ... ... ...

Posted by armando on 2018-01-16 15:48:17

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