- #1
Russell E. Rierson
- 384
- 0
5^1 = 1*0 + 5
5^2 = 2*10 + 5
5^3 = 3*40 + 5
5^p = p*a + 5
x^p = p*a + x
x^p = p*a + x
y^p = p*b + y
z^p = p*c + z
...x^p + y^p = z^p
p*a + x + p*b + y = p*c + z
p*[a + b - c] = z - [x + y]
p = [z - (x + y)]/[a + b - c]
http://www.maa.org/mathland/mathtrek_12_8.html [Broken]
5^2 = 2*10 + 5
5^3 = 3*40 + 5
5^p = p*a + 5
x^p = p*a + x
x^p = p*a + x
y^p = p*b + y
z^p = p*c + z
...x^p + y^p = z^p
p*a + x + p*b + y = p*c + z
p*[a + b - c] = z - [x + y]
p = [z - (x + y)]/[a + b - c]
http://www.maa.org/mathland/mathtrek_12_8.html [Broken]
Astonishingly, a proof of the ABC conjecture would provide a way of establishing Fermat's last theorem in less than a page of mathematical reasoning. Indeed, many famous conjectures and theorems in number theory would follow immediately from the ABC conjecture, sometimes in just a few lines.
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