I'm a big fan of 37 of course -

Here is fun article about someone with an fondness for 17

https://www.hampshire.edu/news/2015/09/29/slow-down-and-enjoy-the-17mph-ride-a-hampshire-style-tribute-for-professor-kelly

I also think 37 is a unique number.  Sheldon was really close.

https://www.youtube.com/watch?v=TIYMmbHik08

Amidon37 wrote:

I'm a big fan of 37 of course -

Here is fun article about someone with an fondness for 17

 

https://www.hampshire.edu/news/2015/09/29/slow-down-and-enjoy-the-17mph-ride-a-hampshire-style-tribute-for-professor-kelly

 

 

"16 and 18, being the only two numbers representing areas for which the perimeter equals the area."

I get 16. But 18?

https://www.google.com/?gws_rd=ssl#q=x^2+and+x*4

I'm just seeing 0 and 4...

Also:

http://mathnotations.blogspot.com/2015/07/37-not-42-answer-to-meaning-of-life.html

Korrun wrote:

"16 and 18, being the only two numbers representing areas for which the perimeter equals the area."

I get 16. But 18?

https://www.google.com/?gws_rd=ssl#q=x^2+and+x*4

I'm just seeing 0 and 4...

18 is the double of a square. So if you put two 3x3 plots side by side you'll get one plot of 3x6. The area being 3x6=18 and the perimeter being 3+6+3+6=18.

Great article Amidon37! That sparked a study of periodical cicadas. Very fascinating creatures really.  He incorrectly calls them 17 year locusts in the article. 

Korrun wrote:

Also:

http://mathnotations.blogspot.com/2015/07/37-not-42-answer-to-meaning-of-life.html

Cool.  I do think a lot of 37's fun properties come from it being a factor of 111.

But also cool patterns can be found with any number.  

And with a nod to Sheldon I find it cool that 73*137 = 10001

A circle of radius 2 also has equal perimeter and area, but it is not a counting number (unless base pi is used), if that is a requirement for consideration. Indeed, all numerical patterns are idiosyncrasies of their bases, and disappear in a baseless number.  Now, a dynamic base of primes, that would be interesting.

Ever since I can remember, the number 7 (and now 77 and 777) has had a special meaning for me. An example: Back in 2000 I was stressed out about how much money I had in my bank, and was reconciling my balance one summer day. After deducting checks and adding deposits, I found I had exactly $77.00, and then I realized that that day happened to be July 7 (7.7.00). At that point, I knew everything would be ok (despite my paltry cash in the bank)