Mathematics Tripos Papers

  • Part IA
  • Part IB
  • Part II
  • FAQ

Paper 1, Section I, G

Number Theory | Part II, 2009

State the Chinese Remainder Theorem.

Determine all integers xxx satisfying the congruences x≡2 mod 3,x≡2 mod 5x \equiv 2 \bmod 3, x \equiv 2 \bmod 5x≡2mod3,x≡2mod5, x≡6 mod 7.x \equiv 6 \bmod 7 .x≡6mod7.

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