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Large smooth twins from short lattice vectors

Mulder, Erik et al.
arXiv (All) · Papers
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number-theory
Finding the largest pair of consecutive $B$-smooth integers is computationally challenging. Current algorithms to find such pairs have an exponential runtime -- which has only be provably done for $B \leq 100$ and heuristically for $100 < B \leq 113$. We improve this by detailing a new algorithm to
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