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.