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Topic: Fermats theorem on sums of two squares


  
  NUMBER - LoveToKnow Article on NUMBER   (Site not responding. Last check: 2007-10-12)
Thus the notions of one, two, and the vague many are fundamental, and must have impressed themselves on the human mind at a very early period: evidence of this is found in the grammatical distinction of singular, dual and plural which occurs in ancient languages of widely different races.
Fermat, for instance, discovered that every positive prime of the form 411+1 is uniquely expressible as the stim of two squares.
In order that two forms may admit of composition into a third, it is necessary and sufficient that their determinants be in the ratio of two squares.
www.1911ency.org /N/NU/NUMBER.htm   (10915 words)

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