Euler's contribution to number theory

  title={Euler's contribution to number theory},
  author={Peter Shiu},
  journal={The Mathematical Gazette},
  pages={453 - 461}
  • P. Shiu
  • Published 2007
  • Mathematics
  • The Mathematical Gazette
Individuals who excel in mathematics have always enjoyed a well deserved high reputation. Nevertheless, a few hundred years back, as an honourable occupation with means to social advancement, such an individual would need a patron in order to sustain the creative activities over a long period. Leonhard Euler (1707-1783) had the fortune of being supported successively by Peter the Great (1672-1725), Frederich the Great (1712-1786) and the Great Empress Catherine (1729-1791), enabling him to… Expand
3 Citations
94.03 Two squares and four squares: the simplest proof of all?
Proof From the observation made in the proof of Proposition 2, the number of ways we want is precisely the number of ways N can be written as a product of two positive integers A and B of equalExpand
Geschichte der Zahlentheorie
Im Abschn. 2.2 wurde die alteste bekannte zahlentheoretische Quelle erwahnt: die babylonische Tafel Plimpton 322 (ca. 1800 v. Chr.) mit einer Tabelle pythagoreischer Zahlentripel [18].
94.04 Even and odd square-free numbers


Higher Arithmetic
THE book before us is for the service of teachers. It is not intended as a first course, but for those who have already had some experience, and wish to review and extend their knowledge.HigherExpand
Number Theory: An approach through history From Hammurapi to Legendre
Protohistory.- Fermat and His Correspondents.- Euler.- An Age of Transition: Lagrange and Legendre.
The Higher Arithmetic (6th edn)
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Heath-Brown, Fermat's two squares theorem, Invariant (Journal of the Undergraduate Society of students of Mathematics at Oxford
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S10 3BQ e-mail: p.shiu@yahoo