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Message boards : News : 321 Prime Found!

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Joined: 4 Dec 12
Posts: 1081
ID: 183129
Credit: 1,384,625,026
RAC: 7,097
Discovered 1 mega primeFound 1 prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2022 Tour de PrimesFound 1 prime in the 2022 Tour de Primes Mountain StageFound 1 prime in the 2023 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (6,162,324)Cullen LLR Turquoise: Earned 5,000,000 credits (5,212,392)ESP LLR Jade: Earned 10,000,000 credits (10,003,255)Generalized Cullen/Woodall LLR Emerald: Earned 50,000,000 credits (50,883,977)PPS LLR Sapphire: Earned 20,000,000 credits (32,298,692)PSP LLR Sapphire: Earned 20,000,000 credits (37,803,308)SoB LLR Sapphire: Earned 20,000,000 credits (21,421,946)SR5 LLR Sapphire: Earned 20,000,000 credits (33,251,738)SGS LLR Turquoise: Earned 5,000,000 credits (5,075,765)TRP LLR Jade: Earned 10,000,000 credits (12,199,250)Woodall LLR Turquoise: Earned 5,000,000 credits (9,209,416)321 Sieve (suspended) Turquoise: Earned 5,000,000 credits (8,012,059)Cullen/Woodall Sieve Turquoise: Earned 5,000,000 credits (6,112,773)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (27,921,016)PPS Sieve Double Gold: Earned 500,000,000 credits (598,726,681)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Turquoise: Earned 5,000,000 credits (7,990,608)TRP Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,217,057)AP 26/27 Turquoise: Earned 5,000,000 credits (8,061,742)GFN Emerald: Earned 50,000,000 credits (50,022,644)WW (retired) Jade: Earned 10,000,000 credits (13,452,000)PSA Double Silver: Earned 200,000,000 credits (420,586,383)
Message 164996 - Posted: 3 Sep 2023 | 18:59:29 UTC

On 5 July 2023, 17:48:23 UTC, PrimeGrid's 321 Prime Search found the Mega Prime:

3*2^20928756-1

The prime is 6,300,184 digits long and will enter Chris Caldwell's “The Largest Known Primes Database” ranked 19th overall. This is the largest known prime for the 3*2^n-1 form.

The discovery was made by Arno Lehmann (Zyfdnug) of Germany using an AMD Ryzen 9 7900X @ 4.7GHz with 64GB RAM, running Debian GNU/Linux 12 (bookworm). This CPU took about 6 hours, 20 minutes to complete the probable prime (PRP) test using LLR2.

The PRP was confirmed prime on 5 July 2023 by an AMD Ryzen 9 5950X @ 3.4GHz, running Linux Mint. This computer took about 2 hours, 46 minutes to complete the primality test using LLR2.

For more details, please see the official announcement.

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