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Number theory : Why mod 100, 1000 ,etc?

Why do we deal with Euler's Theorem and perform calculation on mod 100,1000,etc. while solving questions like: What are the last three digits of \(7^{999}\) ?

Note by Swapnil Das
1 year, 11 months ago

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Euler theorem helps us to deal with large congruences like mod 100 and mod 1000 with ease. Karthik Venkata · 1 year, 11 months ago

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@Karthik Venkata Hey! I am launching a contest! ON BRILLIANT! Would u participate? Swapnil Das · 1 year, 11 months ago

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@Swapnil Das Ok bro ! Karthik Venkata · 1 year, 11 months ago

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@Karthik Venkata It is just mini RMO contest on BRILLIANT! Swapnil Das · 1 year, 11 months ago

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@Karthik Venkata But why mod 100, 1000? Swapnil Das · 1 year, 11 months ago

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@Swapnil Das For finding out the last and last but one digits , we work in mod 10 and mod 100 systems respectively. Karthik Venkata · 1 year, 11 months ago

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@Karthik Venkata Oh thanks! Swapnil Das · 1 year, 11 months ago

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