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A quadratic form of $p = 3k + 1$ primes

Bat-Od Battseren

Bayarmagnai Gombodorj

We use Zagier's one-sentence proof approach to show that a prime number $p$ admits a form $p=a^2+ab+b^2$ for some integers $a$ and $b$ if and only if $p=3$ or $p\equiv 1 \pmod{3}$.

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© 2025 Radiancefields.com. All rights reserved.

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Documenting the exciting progression of radiance field based technologies, including Neural Radiance Fields (NeRFs) and 3D Gaussian Splatting.

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