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The Wonders of Arithmetic from Pierre Simon de Fermat
Год написания книги
2021
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+13
–16
=323
+3059
–3076
=
=247597
+2043475805
–2043475820
etc.
The meaning of this theorem is that if there is an infinite number of Pythagoras triples forming the number zero in the form a
+b
?c
=0 then nothing prevents creating any other integer in the same way. It follows from the text of the theorem that numbers with such properties can be “calculated”, therefore it is very useful for educating children in school.
In this case, we will not act rashly and will not give here or anywhere else a proof of this theorem, but not at all because we want to keep it a secret. Moreover, we will recommend that for school books or other books (if of course, it will appear there) do not disclose the proof because otherwise its educational value will be lost and children who could show their abilities here will lose such an opportunity. On the other hand, if the above FLT proof would remain unknown, then Theorem 1 would be very difficult, but since now this is not so, even not very capable students will quickly figure out how to prove it and as soon as they do, they will easily fulfill the given above calculations.
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