Number Research Inc

I'm not sure whether I'm taking too seriously something intended as a joke, but this in fact can conceivably be useful! When studying mathematical problems, sometimes you have a number that has some special meaning in your problem (e.g., the first value for which some phenomenon does not occur), you may be able to compute this number by brute-force or by ad-hoc reasoning, and if the number is high enough then someone else finding this number may mean that they are looking at the same problem as you. Since there's a canonical way to write numbers, but not a canonical way to define problems, then this can be helpful for these people to find each other.

An example of a similar phenomenon here https://a3nm.net/work/research/questions/#words-without-shuf... where someone interested in the sequence "abcacbacabc" is plausibly looking at the longest and lexicographically smallest ternary word without a shuffle square substring. Just searching for "abcacbacabc" on Google yields papers who look at this -- and two people independently coming up with the concept could find each other in this way if they write examples the same way even if they don't use the same words to define the concept.

(A related resource in maths is the OEIS https://oeis.org/ to see whether the integer sequence you came up with has already been studied or has another non-obvious reformulation.)

67 has been searched 13k+ times, more than 69 and 420 combined

Times are changing

The time it takes for the server to check whether the number exists is too long imo.

It seems that someone sequentially ran up to around 131k (at the moment), I can't get any lower new number. Also please restore the input when a database error occurs...

Some of the most searched numbers are surprising. Why are 8487798767697884826576, 119104105114108, or even 3551 so high up the list?

See most searched here: https://numberresearch.xyz/info

Oddly, “7070” seems to always return a Database Error for me. Other numbers work fine.

I found three new numbers!

Do we get digital stickers for the numbers we found? ;)

How high can the numbers go?

That's Numberwang!