Smooth Twins

This dataset belongs to the paper 'Large smooth twins from short lattice vectors', by Erik Mulder, Bruno Sterner and Wessel van Woerden. Available at arXiv. A B-smooth twin (r,r+1) are two consecutive positive numbers r and r+1 whose prime factors are of size at most B. This dataset contains the follows files: all200twins.txt - Conjectured complete set of all 200-smooth twins. newtwins_sort_by_B_200.txt - The new 200-smooth twins found in the paper. newtwins_largest_collect.txt - Collection of largest known (strictly) B-smooth twins for all smoothness bounds B < 550 and a selection of smoothness bounds 550 < B < 1100.