boswellnimrod
New Member
Fermat said no positive integers fit the pattern a^n+b^n=c^n when N is greater than 2.
I assume someone realized this before but I just noticed that N can be greater than 2 if the number of elements on one side of the equation is equal to N. In other words for example if N=3, there must be three variables on one side a^n+b^n+c^n=d^n
and this works 3^3+4^3+5^3=6^3.
So it is simple geometry that is being described. For every value of N you need N variables raised to that power to make the equation work.
Any mathematicians out there that have seen this? I assume it is known but I just noticed this.
I assume someone realized this before but I just noticed that N can be greater than 2 if the number of elements on one side of the equation is equal to N. In other words for example if N=3, there must be three variables on one side a^n+b^n+c^n=d^n
and this works 3^3+4^3+5^3=6^3.
So it is simple geometry that is being described. For every value of N you need N variables raised to that power to make the equation work.
Any mathematicians out there that have seen this? I assume it is known but I just noticed this.