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Life & fun · February 20, 2026

FPGA prime finder – discovered a 1,123-digit Proth prime

I built a Proth prime tester on a Zybo Z7-20 FPGA ($200 board) and found a new 1,123-digit prime: 2079 * 2^3718 + 1. Proth primes are numbers of the form k * 2^n + 1. They have a neat property: Proth's theorem gives you a deterministic proof of primality, not just a probabilistic test. If you can find an integer a where a^((p-1)/2) = -1 mod p, the number is proven prime. No "probably" about it. The interesting part is the hardware. The core is a 4096-bit Montgomery CIOS multiplier running on a Zynq-7020. It uses 28 DSP48E1 slices and runs at 74 MHz, doing one full modular multiply in…

FPGA prime finder – discovered a 1,123-digit Proth prime launched on February 20, 2026 with 5 votes, #1,882 of 16,627 launches that month and more than 75% of that year's launches. The site was not reachable when checked in September 2026.

Visit github.com ↗Alternativestop 11% of February 2026

What it does

In the maker’s words, at launch

I built a Proth prime tester on a Zybo Z7-20 FPGA ($200 board) and found a new 1,123-digit prime: 2079 * 2^3718 + 1. Proth primes are numbers of the form k * 2^n + 1. They have a neat property: Proth's theorem gives you a deterministic proof of primality, not just a probabilistic test. If you can find an integer a…

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