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Show HN: FPGA prime finder โ€“ discovered a 1,123-digit Proth prime

By sickthecat
2026๋…„ 2์›” 21์ผ
**Show HN: FPGA prime finder โ€“ 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...

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์ด ๊ธฐ์‚ฌ๋Š” Show HN์—์„œ ์ œ๊ณตํ•˜๋Š” ์ตœ์‹  ๊ฐœ๋ฐœ ๋™ํ–ฅ์ž…๋‹ˆ๋‹ค. ๊ด€๋ จ ๋„๊ตฌ๋‚˜ ๊ธฐ์ˆ ์— ๋Œ€ํ•ด ๋” ์•Œ์•„๋ณด์‹œ๋ ค๋ฉด ์›๋ณธ ๋งํฌ๋ฅผ ์ฐธ๊ณ ํ•˜์„ธ์š”.