3 ms·

Simple Proof of Fermats Last Theorem: Is There Any Mistake Here?

4 points by Mi_Ka_ 10y ago

deleted 10y ago
[deleted]
nanis 10y ago
See also https://www.scribd.com/document/288757467/FERMAT-S-LAST-THEOREM-FROM-THE-GENERALIZED-LAW-OF-COSINES https://www.scribd.com/document/288757467/FERMAT-S-LAST-THEO... http://vixra.org/pdf/1506.0047v1.pdf http://vixra.org/pdf/1506.0047v1.pdf https://math.stackexchange.com/questions/1845074/why-cant-we-use-the-law-of-cosines-to-prove-fermats-last-theorem/1850060 https://math.stackexchange.com/questions/1845074/why-cant-we... http://fermatslasttheorem.blogspot.com/2005/08/another-false-proof-russian-professor.html http://fermatslasttheorem.blogspot.com/2005/08/another-false...
- Mi_Ka_ 10y ago
  thanks a lot for sharing these links. Specially this one- http://fermatslasttheorem.blogspot.com/2005/08/another-false-proof-russian-professor.html http://fermatslasttheorem.blogspot.com/2005/08/another-false... I understand, I need to prove that- cos θ is irrational for all θ, where 60<θ<90. Which is not actually true.
codemaniac 10y ago
How does cos(theta) produce irrational values for 60 deg <= theta <= 90 deg?
- Mi_Ka_ 10y ago
  That is what I knew. For example- cos 75 = (√2(√3 – 1))/4 For testing you can visit here- http://www.webconversiononline.com/trigonometry-calculator.aspx?anglein=degree&type=cosine&of=85 http://www.webconversiononline.com/trigonometry-calculator.a...
  - nanis 10y ago
    cosine is a continuous function. Rationals are dense in reals etc. eg, arccos(1/3)
    - Mi_Ka_ 10y ago
      Yes, arccos(1/3) = 70.5287794 degrees
      - gus_massa 10y ago
        The important point is that cos(arcos(1/3)) = cos(70.5287794... degrees) = 1/3 that is a rational value.
  - deleted 10y ago
    [deleted]
allthatglitters 10y ago
Fermat's Last Theorem is easily demonstrated using the binomial theorem - simple algebra. It is dismissed as a proof because most fail to "see" or "understand" variables - particularly mathematicians. Fermat gave us a hint as to his "demonstration" by where he wrote his comment ( https://en.wikipedia.org/wiki/Diophantus_II.VIII https://en.wikipedia.org/wiki/Diophantus_II.VIII ). The difference of two squares can - in some cases - be a square - Pythagorean triples! The difference (or sum) of two integers raised to a power greater than two - nope.

4 points by Mi_Ka_ 10y ago

deleted 10y ago

[deleted]

nanis 10y ago

See also https://www.scribd.com/document/288757467/FERMAT-S-LAST-THEOREM-FROM-THE-GENERALIZED-LAW-OF-COSINES https://www.scribd.com/document/288757467/FERMAT-S-LAST-THEO... http://vixra.org/pdf/1506.0047v1.pdf http://vixra.org/pdf/1506.0047v1.pdf https://math.stackexchange.com/questions/1845074/why-cant-we-use-the-law-of-cosines-to-prove-fermats-last-theorem/1850060 https://math.stackexchange.com/questions/1845074/why-cant-we... http://fermatslasttheorem.blogspot.com/2005/08/another-false-proof-russian-professor.html http://fermatslasttheorem.blogspot.com/2005/08/another-false...

Mi_Ka_ 10y ago
thanks a lot for sharing these links. Specially this one- http://fermatslasttheorem.blogspot.com/2005/08/another-false-proof-russian-professor.html http://fermatslasttheorem.blogspot.com/2005/08/another-false... I understand, I need to prove that- cos θ is irrational for all θ, where 60<θ<90. Which is not actually true.

codemaniac 10y ago

How does cos(theta) produce irrational values for 60 deg <= theta <= 90 deg?

Mi_Ka_ 10y ago
That is what I knew. For example- cos 75 = (√2(√3 – 1))/4 For testing you can visit here- http://www.webconversiononline.com/trigonometry-calculator.aspx?anglein=degree&type=cosine&of=85 http://www.webconversiononline.com/trigonometry-calculator.a...
- nanis 10y ago
  cosine is a continuous function. Rationals are dense in reals etc. eg, arccos(1/3)
  - Mi_Ka_ 10y ago
    Yes, arccos(1/3) = 70.5287794 degrees
    - gus_massa 10y ago
      The important point is that cos(arcos(1/3)) = cos(70.5287794... degrees) = 1/3 that is a rational value.
- deleted 10y ago
  [deleted]

allthatglitters 10y ago

Fermat's Last Theorem is easily demonstrated using the binomial theorem - simple algebra. It is dismissed as a proof because most fail to "see" or "understand" variables - particularly mathematicians. Fermat gave us a hint as to his "demonstration" by where he wrote his comment ( https://en.wikipedia.org/wiki/Diophantus_II.VIII https://en.wikipedia.org/wiki/Diophantus_II.VIII ). The difference of two squares can - in some cases - be a square - Pythagorean triples! The difference (or sum) of two integers raised to a power greater than two - nope.