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Message boards : 321 Prime Search : Welcome to the 321 Prime Search

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Joined: 10 May 14
Posts: 230
ID: 311759
Credit: 207,101,624
RAC: 48,088
Discovered 1 mega primeFound 1 prime in the 2018 Tour de PrimesFound 1 mega prime in the 2018 Tour de Primes321 LLR Ruby: Earned 2,000,000 credits (2,468,977)Cullen LLR Ruby: Earned 2,000,000 credits (2,026,465)ESP LLR Ruby: Earned 2,000,000 credits (2,053,710)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,053,929)PPS LLR Jade: Earned 10,000,000 credits (11,255,990)PSP LLR Ruby: Earned 2,000,000 credits (2,006,539)SoB LLR Ruby: Earned 2,000,000 credits (2,305,993)SR5 LLR Ruby: Earned 2,000,000 credits (2,023,467)SGS LLR Ruby: Earned 2,000,000 credits (2,682,790)TRP LLR Ruby: Earned 2,000,000 credits (2,016,337)Woodall LLR Ruby: Earned 2,000,000 credits (2,012,569)321 Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,000,211)Generalized Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (2,000,420)PPS Sieve Sapphire: Earned 20,000,000 credits (22,440,747)AP 26/27 Sapphire: Earned 20,000,000 credits (20,526,311)GFN Emerald: Earned 50,000,000 credits (57,980,283)WW Emerald: Earned 50,000,000 credits (50,172,000)PSA Sapphire: Earned 20,000,000 credits (20,070,245)
Message 116540 - Posted: 28 Mar 2018 | 18:59:51 UTC
Last modified: 5 Jun 2022 | 0:55:44 UTC

Welcome to the 321 Prime Search

A 321 (or Thabit) number is in the form of 3*2^n-1. A 321 number of the second kind is in the form 3*2^n+1. PrimeGrid is searching for primes in both forms. These numbers have been studied by mathematicians since Thābit ibn Qurra in the 9th century.

Originally, 321 primes were being searched for by the 321 Search Project. PrimeGrid completely took over the search in 2008.

Further reading:
List of Ns for which 3*2^n-1 is prime
List of Ns for which 3*2^n+1 is prime
Thabit Number on Wikipedia

Primes found at PrimeGrid:
3*2^18924988-1
3*2^18196595-1
3*2^17748034-1
3*2^16819291-1
3*2^16408818+1
3*2^11895718-1
3*2^11731850-1
3*2^11484018-1
3*2^10829346+1
3*2^7033641+1
3*2^6090515-1
3*2^5082306+1
3*2^4235414-1
3*2^2291610+1

Message boards : 321 Prime Search : Welcome to the 321 Prime Search

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