Loser66
  • Loser66
Show that if \(n\equiv 3(mod 4)\) then n is not the sum of the square of 2 intergers Please, help
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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superdavesuper
  • superdavesuper
just posting 4 fun eh? ;) http://math.stackexchange.com/questions/496255/can-an-integer-of-the-form-4n3-written-as-a-sum-of-two-squares
Loser66
  • Loser66
Not for fun at all. :) There are a bunch of proof on internet but I didn't see the elegant one yet. :)
superdavesuper
  • superdavesuper
how about top of P.2 here http://math.uga.edu/~pete/4400twosquares.pdf it looks pretty good to me

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Loser66
  • Loser66
Oh, yes!! thank you so much. The solution is elegant since it is so simple. To me, if we can "cook" a good meal with less material, then the job is a beautiful art.
Loser66
  • Loser66
The solution on stackexchange is good enough to me.
superdavesuper
  • superdavesuper
anything on stackexchange is good enough to me since i dont dare posting on there lol imho the second proof i linked is actually simpler thou ;)

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