Tuesday, September 3, 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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