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Show HN: FPGA prime finder โ discovered a 1,123-digit Proth prime
By sickthecat2026๋
2์ 21์ผ
**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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**[devsupporter ํด์ค]**
์ด ๊ธฐ์ฌ๋ Show HN์์ ์ ๊ณตํ๋ ์ต์ ๊ฐ๋ฐ ๋ํฅ์ ๋๋ค. ๊ด๋ จ ๋๊ตฌ๋ ๊ธฐ์ ์ ๋ํด ๋ ์์๋ณด์๋ ค๋ฉด ์๋ณธ ๋งํฌ๋ฅผ ์ฐธ๊ณ ํ์ธ์.
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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**[devsupporter ํด์ค]**
์ด ๊ธฐ์ฌ๋ Show HN์์ ์ ๊ณตํ๋ ์ต์ ๊ฐ๋ฐ ๋ํฅ์ ๋๋ค. ๊ด๋ จ ๋๊ตฌ๋ ๊ธฐ์ ์ ๋ํด ๋ ์์๋ณด์๋ ค๋ฉด ์๋ณธ ๋งํฌ๋ฅผ ์ฐธ๊ณ ํ์ธ์.
