Is there a listing of natural numbers with their properties?

Question

I am looking for a category of natural numbers (about <1000 is enough) with its properties.

Here's some examples :

2 - It is the first prime number.

1729 - It is the smallest number expressible as the sum of two cubes in two different ways.

Here's some bad examples that I don't focus on :

36 - It is the number that its half is equal to multiplying each digits (3 and 6 in this case).

69 - It is the number which has a sexual meaning.

36 is the bad example because it depends on the base 10.

Is there any site about this?

Reminds me of this: http://en.wikipedia.org/wiki/Interesting_number_paradox — Alan, Aug 12 '14 at 18:10

score 2 · Answer 1 · answered Aug 12 '14 at 17:55

Wikipedia article List of numbers links to articles about individual numbers. They have covered all natural numbers up to 1000, and some beyond that range.

I like the subheading of the article:

This is an incomplete list which may never be able to satisfy particular standards for completeness. You can help by expanding it ...

score 1 · Answer 2 · answered Aug 12 '14 at 17:37

1

I don't think "category" is quite what you mean, maybe "catalogue"? Anyway as a printed reference there's David Wells' Dictionary of Curious and Interesting Numbers and online, there are wiki entries for small integers, e.g. 37

answered Aug 12 '14 at 17:37

Matthew Towers

10,854

score 0 · Answer 3 · edited Apr 13 '17 at 12:19

0

http://www.numbergossip.com/69 (for example). Please see thread https://math.stackexchange.com/questions/921/interesting-numbers-in-maths

edited Apr 13 '17 at 12:19

Community

1

answered Aug 12 '14 at 17:29

ShakesBeer

3,641

score 0 · Answer 4 · answered Aug 12 '14 at 18:53

0

A site that has some curiosities about natural numbers are http://primes.utm.edu/curios/ but as any site that lists curiosities it will be incomplete but perhaps it satisfies your needs.

answered Aug 12 '14 at 18:53

dioid

1,142

Is there a listing of natural numbers with their properties?

4 Answers4