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All Topics Algebra Calculus Number Theory Combinatorics Applied Math
Number Theory
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Cyclic Group Addition

In the modulo arithmetic ring $\mathbb{Z}_{17}$, compute the least non-negative residue of: $$(14 + …

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Number Theory
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Divisibility by 9

What is the smallest single-digit positive integer $x$ such that the five-digit number $1234x$ …

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Number Theory
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Prime Summation

Evaluate the sum of the first five prime numbers in $\mathbb{N}$.

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Number Theory
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Small Power Tower

Solve for $x$: $$x = 2^{2^3}$$ Hint: Is $2^{(2^3)}$ the same as $(2^2)^3$?

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