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Basic number theory problems
Basic number theory problems




basic number theory problems

  • Primality Test | Set 4 (Solovay-Strassen).
  • Primality Test | Set 1 (Introduction and School Method).
  • Multiply large integers under large modulo.
  • Using Chinese Remainder Theorem to Combine Modular equations.
  • basic number theory problems

    Euler’s criterion (Check if square root under modulo p exists).Primitive root of a prime number n modulo n.Cyclic Redundancy Check and Modulo-2 Division.Find Square Root under Modulo p | Set 2 (Shanks Tonelli algorithm).Find Square Root under Modulo p | Set 1 (When p is in form of 4*i + 3).Chinese Remainder Theorem – Set 1 (Introduction), Set 2 (Inverse Modulo based Implementation).Compute nCr % p | Set 3 (Using Fermat Little Theorem).Compute nCr % p | Set 2 (Lucas Theorem).Compute nCr % p | Set 1 (Introduction and Dynamic Programming Solution).Find remainder without using modulo operator.Modular Exponentiation (Power in Modular Arithmetic).

    basic number theory problems

  • Euler’s Totient function for all numbers smaller than or equal to n.
  • Integer sequences: Fibonacci, Padovan, OESIS.
  • Basic and Extended Euclidean algorithms.
  • ISRO CS Syllabus for Scientist/Engineer Exam.
  • ISRO CS Original Papers and Official Keys.
  • GATE CS Original Papers and Official Keys.





  • Basic number theory problems