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Message boards : 321 Prime Search : Prime for 321 Prime Search

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JohnProject donor
Honorary cruncher
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Joined: 21 Feb 06
Posts: 2875
ID: 2449
Credit: 2,681,934
RAC: 0
321 LLR Bronze: Earned 10,000 credits (11,773)Cullen LLR Bronze: Earned 10,000 credits (14,945)ESP LLR Bronze: Earned 10,000 credits (26,855)PPS LLR Bronze: Earned 10,000 credits (84,876)PSP LLR Bronze: Earned 10,000 credits (15,311)SoB LLR Bronze: Earned 10,000 credits (21,440)SR5 LLR Bronze: Earned 10,000 credits (29,270)SGS LLR Bronze: Earned 10,000 credits (26,616)TPS LLR (retired) Bronze: Earned 10,000 credits (36,288)TRP LLR Bronze: Earned 10,000 credits (41,655)Woodall LLR Bronze: Earned 10,000 credits (15,807)321 Sieve (suspended) Bronze: Earned 10,000 credits (20,014)Cullen/Woodall Sieve Bronze: Earned 10,000 credits (23,405)PPS Sieve Bronze: Earned 10,000 credits (36,192)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Bronze: Earned 10,000 credits (20,306)TRP Sieve (suspended) Bronze: Earned 10,000 credits (21,738)GFN Bronze: Earned 10,000 credits (86,217)PSA Ruby: Earned 2,000,000 credits (2,143,756)
Message 10486 - Posted: 31 Aug 2008 | 5:05:20 UTC
Last modified: 31 Aug 2008 | 5:25:01 UTC

PrimeGrid's first 321 Prime Search prime

Another major prime find by PrimeGrid...and another Canadian connection. :) We are still awaiting contact with the finder (LadyHawk_A321 of Germany). The double checker is Dale Laluk from Canada. He joins fellow Canadians Dylan Bennett, Dave Pickles, and Stephen Kohlman who have all played a part in past significant prime finds. It must be something in the water in Canada. :D

The prime was discovered during the run-up to the Dog Days of Summer Challenge. This is PrimeGrid's first prime for the +1 form in the 321 Prime Search project.

Congratulations to LadyHawk_A321 and Dale on this big find.

For more details, please see the official announcement. Decimal representation of the number is also available.
____________

ID: 10486 | Report as offensive
Payam.Samidoost
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Joined: 3 Mar 08
Posts: 3
ID: 19783
Credit: 1,988,472
RAC: 0
321 LLR Bronze: Earned 10,000 credits (10,824)Cullen LLR Bronze: Earned 10,000 credits (17,620)PPS LLR Amethyst: Earned 1,000,000 credits (1,878,571)TPS LLR (retired) Bronze: Earned 10,000 credits (83,308)
Message 10589 - Posted: 5 Sep 2008 | 13:36:04 UTC - in response to Message 10486.
Last modified: 5 Sep 2008 | 14:04:37 UTC

Congratulations to all 32+1 participants of PrimeGrid
for discovering 3*2^2291610+1
the 40th greatest known prime.

Note that any prime of the form k*2^n+1 have a 1/k probability of dividing a Fermat number. So it appears that we already have missed a 1/3 chance of finding the 2nd greatest Fermat divisor known.

But by Morhead's Theorem no prime of the form 3*2^n+1, with even n can divide a Fermat number.

I am waiting for PrimeGrid's first Fermat divisor, soon
Both from +1 side of the 321 project with odd n
and with more hope from the newly started PPS.

Payam

ID: 10589 | Report as offensive

Message boards : 321 Prime Search : Prime for 321 Prime Search

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