- #1

- 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.

Last edited by a moderator: