2 citations · 5 across the 10 of their papers we have counts for
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Uchiyama's conjecture on sums of squares
Tim Trudgian
Uchiyama showed that every interval contains an integer that is the sum of two squares, where . He also conjectured a minimal value of such tha…
Lehmer numbers and primitive roots modulo a prime
Stephen D. Cohen, Tim Trudgian
A Lehmer number modulo a prime is an integer with whose inverse within the same range has opposite parity. Lehmer numbers that are also primit…
Quadratic residues that are not primitive roots
Tamiru Jarso, Tim Trudgian
We prove that any prime satisfying contains two consecutive quadratic non-residues modulo neither of which is a primitive root modulo .
Square-full primitive roots
Marc Munsch, Tim Trudgian
We use character sum estimates to give a bound on the least square-full primitive root modulo a prime. Specifically, we show that there is a square-full primitive root mod less…