Sunil Naik

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20242026

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math.NT2026

The least prime with a given primitive root and a variant of the larger sieve

Daniel R. Johnston, Sunil Naik

For an integer $g$ not equal to $- 1$ or a square, we study the least prime $p_{g}$ such that $g$ is a primitive root modulo $p_{g}$ . We show that, assuming the Generalised Riemann Hypo…

math.NT2026

A non-abelian large sieve and Artin's primitive root conjecture

M. Ram Murty, Sunil Naik

A well-known conjecture of Artin states that if $a$ is an integer not equal to $0, \pm 1$ or a perfect square, then there exist infinitely many primes $p$ such that $a$ is a primit…