Fun with num3ers
Saturday, December 25, 2010
Fermat's Last Theorem: n = 4
The easiest proof for Fermat's Last Theorem is the case n = 4 (
a^4 + b^4 = c^2)
See solution at
http://fermatslasttheorem.blogspot.com/2005/05/fermats-last-theorem-n-4.html
How about the equation
a^4 + b^4 + 1 = c^2
Could we still prove that there is no solution in the positive integers for this equation?
Could you provide a counter-example?
Fermat's Last Theorem
http://en.wikipedia.org/wiki/Fermat's_Last_Theorem
http://mathworld.wolfram.com/FermatsLastTheorem.html
Pierre de Fermat
http://en.wikipedia.org/wiki/Pierre_de_Fermat
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