Talk:Almost integer

An approximation

$2\pi +e\approx 9.001$

${\sqrt {2\pi +e}}\approx 3.0002$

The sum of the length of the unit circle, and Euler's famous constant.

Another almost integer identity related to Gelfond's constant is:

${\frac {e^{\pi }-\pi -1}{6\pi }}\approx 1,0079$

check it

80.32.203.50 (talk) 10:26, 21 June 2008 (UTC)

This article explains why that some almost integer powers of the golden ratio are non-coincidental, but how about this?

The solution to Fib(x)=x+1, when multiplied by 200 is almost exactly 1119 (when rounded to 4 decimal places it's 1118.0000). So... is this coincidental or non-coincidental? Robo37 (talk) 19:01, 4 September 2011 (UTC)

Attribution of proof

@Grendon84: In these edits on 6 January 2024, you added A. Doman as the source for the explanation that $e^{\pi }\approx \pi +20$. It has since come to light that Noam Elkies had given the same explanation in his lectures as early as 1998 (versions of his lecture with the main claim and the exact same proof are available online from that time, as well as from many later years). See my post Talk:Mathematical coincidence#We need a proper source and credit for this formula from September 2025, with quotes from an email exchange with Elkies (which includes links to references that back up what he says). I'm not sure exactly how to include all that in the article, or rather what to include, but I think the attribution needs to be changed... somehow. Should we attribute it to Elkies (who claims that he was aware of it long before 1998, but that he did not come up with it himself); or to Elkies and Doman independently? Or something else? Suggestions are welcome. Renerpho (talk) 02:52, 17 December 2025 (UTC)