Mathematics Tripos Papers

  • Part IA
  • Part IB
  • Part II
  • FAQ

Paper 3, Section I, 1G1 G1G

Groups, Rings and Modules | Part IB, 2018

(a) Find all integer solutions to x2+5y2=9x^{2}+5 y^{2}=9x2+5y2=9.

(b) Find all the irreducibles in Z[−5]\mathbb{Z}[\sqrt{-5}]Z[−5​] of norm 9 .

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