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The SPA numbers (Posted on 2019-08-04) Difficulty: 3 of 5
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.

No Solution Yet Submitted by Danish Ahmed Khan    
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Solution All in | Comment 1 of 5
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
  Posted by Ady TZIDON on 2019-08-04 08:32:29

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