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Timeline for Estimate about primes

Current License: CC BY-SA 3.0

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Jan 4, 2023 at 9:11 history edited Martin Sleziak
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Mar 31, 2012 at 1:17 vote accept Farzad Aryan
Mar 19, 2012 at 23:54 answer added user22202 timeline score: 1
Jan 24, 2012 at 12:55 answer added Johan Wästlund timeline score: 6
Jan 24, 2012 at 11:41 history edited Emil Jeřábek CC BY-SA 3.0
make the question comprehensible
Jan 24, 2012 at 9:06 comment added Gerhard Paseman In fact, if we use exp(p_r) as a good asymptotic to P_r, then I think the desired quantity approaches r choose r/2 as r grows. But you should get an estimate from a professional. No one pays me for my guesses. Yet. Gerhard "They're Still Worth Something, However" Paseman, 2012.01.24
Jan 24, 2012 at 8:49 comment added Gerhard Paseman I could have messed up. I view the problem as specifying a certain antichain in a Boolean lattice of r atoms. I think r choose r/2 is an upper bound, and for large r the lower bound might be something like r choose r/3, but I don't have a proof. What is your take on it? Gerhard "Ask Me About System Design" Paseman, 2012.01.24
Jan 24, 2012 at 8:08 comment added Greg Martin @Gerhard: I don't immediately see why $r$ choose $r/2$ is either an upper bound or a lower bound for the quantity in question.
Jan 24, 2012 at 3:37 comment added Yemon Choi The question might be better received if it gave more context, more illustration of what the OP has already tried or learned, and followed suggestions in mathoverflow.net/howtoask
Jan 24, 2012 at 3:09 comment added Wadim Zudilin I would be more interested in the sum over products of last primes. Jokes aside, very bad way of stating the question...
Jan 24, 2012 at 2:04 comment added Gerhard Paseman Yes. About r choose (r/2). (It might even be a good estimate.) Gerhard "Ask Me About System Design" Paseman, 2012.01.23
Jan 24, 2012 at 1:37 history asked Farzad Aryan CC BY-SA 3.0