3rd Video The Negation of Fermat's Last Theorem

In this third video lecture on QEC we present several proofs of the Negation of Fermat's Last Theorem and an introduction to the Diagonal Triples.

Plimpton 322 and Old Babylonian Trigonometry | History of Maths 34 | N J Wildberger

Mesopotamian Mathematics | MathHistory 33 | N J Wildberger

0:00 Intro: The Negation of Fermat's Last Theorem
0:28 The Complete QECian Theory
12:32 The Quaternion as the Natural Log
14:30 The Negation of Fermat Last Theorem
16:09 The Natural Log Proof
17:34 Fermat's Key
18:25 i to the Fourth Power
18:41 Challenging the Orthodoxy
19:23 The Margin Proof: Definitive
19:40 The Diagonal rule of Secants
24:32 Step by Step Explanation
29:30 Johnson's Theorem: Part I.
32:16 Expanding Euclid's Formula
35:56 Alternatives to the Pythagorean Triples
38:17 Johnson's Theorem: Part II.
50:29The Non-commutativity of Quaternions
54:15Appended Notes

[الطاهرمحمدأحمد-سه]

Look in this link to find right solution for Fermat's Last Theorem

[pauljlund]

In line 3 of your proof you have 17^2 =289 = 161+240 which is false since 161 + 240 = 401.

In line 5 you state that 8^4+15^4=17^4 which is false because you seem to think that the square of 8^2+15^2 is 8^4+15^4 which is false. The square of 8^2 +15^2 is 8^4+15^4+2*8^2*15^2 not 8^4+15^4.

In line 7 you state that 15^4+8^4=17^4 which is false since 15^4+8^4=54721 whereas 17^4=83521.

[jauhueitang]

I do not get it. 15^4 + 8^4 is not equal to 17^4 as you claimed!

[pauljlund]

In your proof (page 136), line 5 is incorrect as is everything that follows.
Line 6 should be c^n * ( (cos x)^2 + (sin x)^2 ) = c^n which simplifies to in line 7 to (cos x)^2 + (sin x)^2 = 1 which we already knew. So you've proved nothing.