Theorems and their Proofs


Proof of Euclid's Number Proposition 26


I loved writing this proof because I am able to clearly understand a theory of Euclid's.  Many famous mathematics come up with such complex theorems that as an undergraduate mathematics student I can barely understand the theorems, much less the proofs of those theorems.  I appreciate that this proposition is simple and the proof is simple, but the implications are vast. 

In the future I would look into proving more complicated number theory propositions by Euclid.  This type of mathematics appeals to me and number theory would be an interesting topic for me to explore more.

1 comment:

  1. Okay! I didn't see this - sorry. Separate page so it doesn't show up in your blog feed.

    Proof is correct.
    Clear: maybe a statement of the contrapositive at the beginning.
    Coherent, content, complete: +
    (doesn't belong in the proof, but your thinking about how to construct the proof would make a great pre- or post-script.)
    Consolidated: what did you get out of this? Or: what would you want to prove next and why?

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