by Binomial-theorem, Feb 12, 2013, 4:59 AM 
, where 
and 
are integers in the range 
satisfying 
.Currently working on developing Number Theory/Python class with Star League. Pilot class ongoing at A-Star 2016 Winter Math Camp, AMC Number Theory morning class. Ongoing updates and progress here.
April 2016
February 2016
May 2015
January 2015
August 2014
March 2014
February 2014
January 2014
December 2013
November 2013
October 2013
September 2013
August 2013
July 2013
June 2013
May 2013
April 2013
March 2013
February 2013
January 2013
December 2012
November 2012
October 2012
September 2012
August 2012
July 2012
June 2012
May 2012
April 2012
March 2012
February 2012
January 2012
December 2011
November 2011
September 2011
August 2011
July 2011
works. Then, also 
also works by Vieta Jumping. Also, by simple testing, 
works, and then by Vieta jumping 
works. We are going to use the map 
.
and 
and other solutions are produced by other forms. Assume by induction that all numbers up to 
are of the form 
works). Therefore, all numbers are Fibonacci numbers, therefore we get 
.