Lachlan Dunn

collaborators

2 papers

math.NT2026

An Explicit Result for the Sum of Two Almost Primes

Adrian Dudek, Lachlan Dunn

We show that every $N \geq 2$ can be written as the sum of positive integers $a$ and $b$ where $I^c ◯ (ab) \leq 40$ . The result is obtained through the direct application of an explici…

math.NT2025

Improved Upper Bound on Brun's Constant Under GRH

Lachlan Dunn

Brun's constant is the summation of the reciprocals of all twin primes, given by $B = \sum_{p \in P_{2}} (\frac{1}{p} + \frac{1}{p + 2})$ . While rigorous unconditional bound…