Suranyi’s theorem states that every integer can be expressed as the following sum:
for some .
We prove this by induction, taking the first four whole numbers as our cases:
Now it suffices to prove that if the theorem is true for then
it is also true for .
it’s simple to finish the proof:
and we are done.
|Date of creation||2013-03-22 13:43:00|
|Last modified on||2013-03-22 13:43:00|
|Last modified by||mathcam (2727)|