Saturday, November 23, 2019

modular arithmetic - How to calculate $5^{2003}$ mod $13$


How to calculate $5^{2003}$ mod $13$




using fermats little theorem



5^13-1 1 mod 13




(5^12)^166+11 mod 13



a+b modn=(a modn + b modn) modn



(1+11mod13)mod13



12 mod 13 = 12



why answer is 8 ?




how do we calculate this



thanks

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