Tuesday 24 September 2013

Primes

Find all positive integers n for which 3n − 4, 4n − 5, and 5n − 3 are all prime.

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Define \(f: \mathbb{R} \rightarrow \mathbb{R}\) by \[f(x)= \begin{cases}(1-\cos x) \sin \left(\frac{1}{x}\right), & x \neq 0 \\ 0, &a...