Let the minimal length of an addition chain for a number n be denoted l(n), then the Scholz conjecture posits that l(2^n - 1)<=n - 1 + l(n).

Brauer-Scholz conjecture | Scholz-Brauer conjecture

formulation date | 1937 (88 years ago) formulator | Arnold Scholz status | open

l(2^n - 1)<=n - 1 + l(n)

mathematical conjectures | unsolved mathematics problems