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2014-11-05T02:59:15+02:00
1 = 2*0 + 1;
3 = 2*1 + 1;
5 = 2*2 + 1;
- - - - - - - - - 
2013 = 2*1005 + 1;
___________________( + )

S = 2*( 1 + 2 + .... +  1005 ) + 1006 =>
S = 1005 * 1006 + 1006( am folosit suma Gauss ) =>
S = 1006^2( patrat perfect ).

Bafta!

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