A conjecture in addition chains related to Scholz’s conjecture
A conjecture in addition chains related to Scholz’s conjecture
Let <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="l left-parenthesis n right-parenthesis"> <mml:semantics> <mml:mrow> <mml:mi>l</mml:mi> <mml:mo stretchy="false">(</mml:mo> <mml:mi>n</mml:mi> <mml:mo stretchy="false">)</mml:mo> </mml:mrow> <mml:annotation encoding="application/x-tex">l(n)</mml:annotation> </mml:semantics> </mml:math> </inline-formula> denote, as usual, the length of a shortest addition chain for a given positive integer <italic>n</italic>. The most famous unsolved problem in addition chains is Scholz’s 1937 …