Prime for 321 Prime Search

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John

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Joined: 21 Feb 06
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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.
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Payam.Samidoost
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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

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