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Binomial Symbols and Prime Moduli


Affiliations
1 Department of Mathematical Sciences, Tezpur University, Napaam, Sonitpur, 784028, India
2 University of Ljubljana, Jadranska ul. 19, 1000, Ljubljana, Slovenia
     

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We try to improve a problem asked in an Indian Math Olympiad. We give a brief overview of the work done in [4] and [5] where the authors have found a periodic sequence and the length of its period, all inspired from an Olympiad problem. The main goal of the paper is to improve the main result in [4].

Keywords

Prime Moduli, Binomial Coefficients, Periodic Sequences, Primality Testing.
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  • Binomial Symbols and Prime Moduli

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Authors

Manjil P. Saikia
Department of Mathematical Sciences, Tezpur University, Napaam, Sonitpur, 784028, India
Jure Vogrinc
University of Ljubljana, Jadranska ul. 19, 1000, Ljubljana, Slovenia

Abstract


We try to improve a problem asked in an Indian Math Olympiad. We give a brief overview of the work done in [4] and [5] where the authors have found a periodic sequence and the length of its period, all inspired from an Olympiad problem. The main goal of the paper is to improve the main result in [4].

Keywords


Prime Moduli, Binomial Coefficients, Periodic Sequences, Primality Testing.