Suppose $p+1$ is a prime fix $a,b\in\Bbb Z_p^\times$ how many generators of $\Bbb Z_p^\times$ lie on the line $ax+b$ considered over $\Bbb Z$ and what is the size of a typical minimal generator with respect to $a,b$ in average case whenever a generator exists?
2026-03-29 11:41:33.1774784493
Generators in arithmetic progression.
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