OEIS A000000: Primitive permutation groups

We continue our stroll through the counting sequence A000000, which records how many primitive permutation groups exist at each degree. After the surprise jump at degree 16, we unravel why many primitive groups of that degree lie inside the affine group of the 4-dimensional space over GF(2). We'll connect primitivity, block systems, and solvability in this fascinating corner of group theory.

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