Talk:Sub-unit squares: Difference between revisions

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==An alternative method==
 
I am going to start by solving a relaxation of the task description. For ana z digit number find perfect squares (g*g) ending in 5 such that (g*g)+10<sup>z</sup>/9 is also a perfect square. g will be the sequence of integers between ⌈√10<sup>z</sup>⌉ and ⌊√10<sup>z+1</sup>-1-10<sup>z</sup>/9⌋ ending in 5. For 4 digit numbers the candidates (g) are 25 35 45 55 65 75 85;
 
For a given g I form the next perfect square by adding 2g+1. So for g=45 I can form a series of perfect squres:
2,172

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