3 ms·

It absolutely replies to “is <number> prime” with the correct answer.

CamperBob2 4y ago
Also "Why is <number> interesting?" is an interesting question to ask. It finds something interesting about most integers, and falls back to giving you a good rational approximation for 'uninteresting' reals.
- cesarb 4y ago
  > It finds something interesting about most integers Every integer is interesting. "[...] if there exists a non-empty set of uninteresting natural numbers, there would be a smallest uninteresting number – but the smallest uninteresting number is itself interesting because it is the smallest uninteresting number [...]" (https://en.wikipedia.org/wiki/Interesting_number_paradox https://en.wikipedia.org/wiki/Interesting_number_paradox)
  - skykooler 4y ago
    A few days ago, I got to thinking about this. On a theoretical level every integer is interesting due to that, but on a practical level there's not much point calling a number "interesting" if the only property giving it that quality is being the first uninteresting number larger than n-1. One way of checking what makes a number interesting is seeing what sequences it is in in the OEIS[1]. Interesting properties (squares, primes, palindromes, friendly numbers, etc) all have the first hundred or so numbers with those properties in a list. So I downloaded the dataset of all sequences from OEIS, and iterated through all integers to find the first one that is not in any sequence in the OEIS. So, I present the smallest uninteresting number: 20,067. Every number before it is in at least one of the sequences - for example, 20,066 is 'a partial sum for a coordination sequence for the "pcu-i" 3D uniform tiling'. It is the first number that has no interesting properties other than trivial ones (like being a multiple of 3). It is the first uninteresting number, but one could say that makes it meta-interesting rather than being interesting in and of itself. [1] https://oeis.org/ https://oeis.org/ Edit: and after doing all that work I saw that someone else has already done so and put it in the wikipedia article. Oh well, at least I learned about set processing in Python.
jonahx 4y ago
is 4021 prime No, 4021 is not a prime number. A prime number is a whole number greater than 1 that is divisible only by 1 and itself. 4021 is divisible by 17, which is a number other than 1 and itself, so it is not considered to be a prime number.
- thepasswordis 4y ago
  For the curious, 4021 is not divisible by 17. I guess I only tried the first few single digit primes. Fair enough!

Also "Why is <number> interesting?" is an interesting question to ask. It finds something interesting about most integers, and falls back to giving you a good rational approximation for 'uninteresting' reals.

cesarb 4y ago
> It finds something interesting about most integers Every integer is interesting. "[...] if there exists a non-empty set of uninteresting natural numbers, there would be a smallest uninteresting number – but the smallest uninteresting number is itself interesting because it is the smallest uninteresting number [...]" (https://en.wikipedia.org/wiki/Interesting_number_paradox https://en.wikipedia.org/wiki/Interesting_number_paradox)
- skykooler 4y ago
  A few days ago, I got to thinking about this. On a theoretical level every integer is interesting due to that, but on a practical level there's not much point calling a number "interesting" if the only property giving it that quality is being the first uninteresting number larger than n-1. One way of checking what makes a number interesting is seeing what sequences it is in in the OEIS[1]. Interesting properties (squares, primes, palindromes, friendly numbers, etc) all have the first hundred or so numbers with those properties in a list. So I downloaded the dataset of all sequences from OEIS, and iterated through all integers to find the first one that is not in any sequence in the OEIS. So, I present the smallest uninteresting number: 20,067. Every number before it is in at least one of the sequences - for example, 20,066 is 'a partial sum for a coordination sequence for the "pcu-i" 3D uniform tiling'. It is the first number that has no interesting properties other than trivial ones (like being a multiple of 3). It is the first uninteresting number, but one could say that makes it meta-interesting rather than being interesting in and of itself. [1] https://oeis.org/ https://oeis.org/ Edit: and after doing all that work I saw that someone else has already done so and put it in the wikipedia article. Oh well, at least I learned about set processing in Python.

jonahx 4y ago

is 4021 prime No, 4021 is not a prime number. A prime number is a whole number greater than 1 that is divisible only by 1 and itself. 4021 is divisible by 17, which is a number other than 1 and itself, so it is not considered to be a prime number.

thepasswordis 4y ago
For the curious, 4021 is not divisible by 17. I guess I only tried the first few single digit primes. Fair enough!