Let m be an integer . Let us say that m is a SPA number if there are positive
whole numbers k and j such that
m = (mk + mj) / 2.
Find all SPA numbers.
k=j=1 causes the puzzle’s equation to become a tautology since
m= (m+m)/2.
So every integer is SPA (Is SPA an acronym for Sum of Powers Average??)
No need to look for other k,j couples,
Edited on August 4, 2019, 4:16 pm
Edited on August 5, 2019, 1:37 am