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arXiv · 2602.22720

An Explicit Result for the Sum of Two Almost Primes

Adrian Dudek·Lachlan Dunn
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Abstract

We show that every $N \geq 2$ can be written as the sum of positive integers $a$ and $b$ where $\Omega(ab) \leq 40$. The result is obtained through the direct application of an explicit lower bound Selberg sieve along with some computation and optimisation.

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Adrian Dudek, Lachlan Dunn. 2026-02-26. An Explicit Result for the Sum of Two Almost Primes. https://arxiv.org/abs/2602.22720

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