SOLUTION: prove that a perfact number can be written as a sum of (2^n)-1 consicutive numbers for some n.(please give me the proof)

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: prove that a perfact number can be written as a sum of (2^n)-1 consicutive numbers for some n.(please give me the proof)      Log On


   



Question 476628: prove that a perfact number can be written as a sum of (2^n)-1 consicutive numbers for some n.(please give me the proof)
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
Proving it assumes that all perfect numbers N can be written as

, in which this is equal to



hence we are done. So if mathematicians somehow find an odd perfect number this theorem might not be true.