Mathematics Tripos Papers

  • Part IA
  • Part IB
  • Part II
  • FAQ

Paper 4, Section I, E

Numbers and Sets | Part IA, 2016

Find a pair of integers xxx and yyy satisfying 17x+29y=117 x+29 y=117x+29y=1. What is the smallest positive integer congruent to 1713817^{138}17138 modulo 29 ?

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