A Diophantine Equation with an Elementary Solution.

For Graph HT <math display="inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow><mi> </mi><mo> </mo><mn>4</mn></mrow></math> ht , there can be no more solutions. Suppose now that Graph HT <math display="inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow><mn>1009</mn><mo>|</mo><mi>a</mi></mrow></math> ht , but Graph HT <math display="inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow><mn>1009</mn><mi> </mi><mi>b</mi></mrow></math> ht . Now suppose that Graph HT <math display="inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow><mi> </mi><mo> </mo><mn>0</mn></mrow></math> ht . [Extracted from the article]