Some computational results on a problem concerning powerful numbers
Some computational results on a problem concerning powerful numbers
Let <italic>D</italic> be a positive square-free integer and let <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper X plus upper Y StartRoot upper D EndRoot"> <mml:semantics> <mml:mrow> <mml:mi>X</mml:mi> <mml:mo>+</mml:mo> <mml:mi>Y</mml:mi> <mml:msqrt> <mml:mi>D</mml:mi> </mml:msqrt> </mml:mrow> <mml:annotation encoding="application/x-tex">X + Y\sqrt D</mml:annotation> </mml:semantics> </mml:math> </inline-formula> be the fundamental unit in the order with <bold>Z</bold>-basis <inline-formula content-type="math/mathml"> …