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Feb 13, 2018 at 2:57 comment added Yemon Choi It is not really possible to judge the significance or notabliity of the new proof you claim to have found, unless you actually show people what you have done, by writing it up and sending it somewhere, or posting it on a blog
Feb 9, 2018 at 17:52 comment added GH from MO @user1582006: Whether a result is interesting enough to publish or not, is an opinion. Mathematics is a social game, not just pure science. Interesting new proofs of classical results do appear from time to time, in journals like the Amer. Math. Monthly. If your proof is really simpler than that of Erdős, then it might be worthwhile to try such a journal.
Feb 9, 2018 at 17:46 history closed Andy Putman
Andrés E. Caicedo
Peter Heinig
R.P.
Nik Weaver
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Feb 9, 2018 at 17:33 history edited user1582006 CC BY-SA 3.0
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Feb 9, 2018 at 17:08 comment added GH from MO The problem with your (corrected) result is that it is too restrictive (in my opinion). The conclusion is only interesting if $\varepsilon$ is small, but this requires $p_k$ to be large. However, for $p_k$ large and $\varepsilon$ small, the initial condition fails. This is because the product in the condition is asymptotically $0.5614... p_k$. See my "Added" section.
Feb 9, 2018 at 17:04 comment added user1582006 @GerhardPaseman For ε = 1, k = 12 is sufficient.
Feb 9, 2018 at 17:02 comment added Gerhard Paseman Do you have a value of k for which your product inequality holds? I am computing for small k and have found none. Gerhard "Truth Sometimes Comes From Emptiness" Paseman, 2018.02.09.
Feb 9, 2018 at 16:43 review Close votes
Feb 9, 2018 at 17:51
Feb 9, 2018 at 16:32 history edited user1582006 CC BY-SA 3.0
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Feb 9, 2018 at 16:23 history edited user1582006 CC BY-SA 3.0
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Feb 9, 2018 at 15:57 comment added mystupid_acct Note that the paper you linked to has not been published in any peer reviewed journal.
Feb 9, 2018 at 15:56 history edited GH from MO
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Feb 9, 2018 at 15:54 answer added GH from MO timeline score: 9
Feb 9, 2018 at 15:53 history edited user1582006 CC BY-SA 3.0
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Feb 9, 2018 at 15:43 history asked user1582006 CC BY-SA 3.0