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Active Archive
All Topics Algebra Calculus Number Theory Combinatorics Applied Math
Number Theory
★★★★★

Complex Cosine

Solve: $$\cos(x) = i$$ Format: [fraction] - i ln([term])

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Number Theory
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Complex Sine Solution

Calculate the principal value for: $$\sin(x) = 2$$ Format: X/Y - i*Z

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Number Theory
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Legendre's Formula

Calculate the exact number of trailing zeros in the decimal representation of $100!$ (100 …

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Number Theory
★★★★★

The Basel Problem

Evaluate the exact sum of the infinite series: $$\sum_{n=1}^{\infty} \frac{1}{n^2}$$ Format: pi^2/X

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Number Theory
★★★★★

Wilson's Theorem

Determine the least non-negative residue of $16! \pmod{17}$.

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