Mathematics Tripos Papers

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  • Part IB
  • Part II
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2.I.1H

Number Theory | Part II, 2006

Prove that all binary quadratic forms of discriminant −7-7−7 are equivalent to x2+xy+2y2.x^{2}+x y+2 y^{2} .x2+xy+2y2.

Determine which prime numbers ppp are represented by x2+xy+2y2x^{2}+x y+2 y^{2}x2+xy+2y2.

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