List all prime numbers

[Seabiscuit]

Here's a start:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, etc.

What makes a prime number a prime number?

[praxiz]

1. Let's not and say we did.

[Seabiscuit]

7. I like that response!

[GirlinContempt]

2. I'll refer you to Euclid

[praxiz]

3. Who?

[GirlinContempt]

4. For serious?

or for jest?

[DrDebug]

5. I can't list all, since there is no unlimited website

But here is 2-1,000,003:

http://bach.dynet.com/primes/primelist.html

[GirlinContempt]

6. one whose proper divisors sum to the number itself

[GirlinContempt]

8. Wait, I'm thinking of perfect... more correctly:

An integer greater than one is prime if its only positive divisors are itself and one :P

[Seabiscuit]

9. Bingo!

[GirlinContempt]

10. ir smart

:eyes:

[necso]

11. (1)

The problem is clearly only amenable to a solution that is finite. Therefore we will have to cheat a little bit on definitions. So for "multiplicative prime" (the familiar type of prime) we will use: "having no factor except itself and one (over positive integers)", which would make 1 a prime.

And then we will add on a new definition, that of "additive prime", as in: "not being able to be expressed as a sum of two or more positive integers". (Or we could use the additive "identity", 0, in the definition.) This would be the set of (1).

And now we will arbitrarily take the intersection of the two sets as being the desired answer -- this keeps the common understanding of primes as an essential part of the solution criteria (although we add 1 into the set of primes as commonly identified), but adds the criteria of having to be an additive prime (hence a sort of, and the only, special double-prime under these two operators and positive integers -- and definitions).

[Seabiscuit]

12. One is the loneliest number...

[necso]

13. Well,

(1) would not be the ideal set for doing much "multiplying".

[KamaAina]

14. What level would DU go to if I did that?

It'd be like, like Galloway testifying about the filibuster or something! Do we have a Level 13?

[Seabiscuit]

15. Well, you post is #14...