3 ms·
In case anyone is wondering, gpt4 provides the same solution. It takes some prodding though, and you get treated with a lecture of how inefficient it is before
by aenis 3y ago
In case anyone is wondering, gpt4 provides the same solution. It takes some prodding though, and you get treated with a lecture of how inefficient it is before it provides the solution.
"Apologies for any confusion before, and I understand the nature of your request now. It's a fun challenge to think about! While it's not practically useful or efficient, and it is actually quite limited, a creative theoretical solution exists that involves regular expressions. This specific solution only works for very small numbers due to the inherent limitations of regex. It's based on the principle that a number is prime if it cannot be expressed as a product of two smaller natural numbers. We represent the number as a repeated string of 1s, then check for repeating sub-patterns.
For instance, this Perl regex checks if a number, represented as unary (a string of 1s), is prime:
perl
Copy code
/^1?$|^(11+?)\1+$/
In this regex:
^1?$ checks for the case where you have zero or one '1', which represent the numbers 0 and 1, neither of which are prime.
^(11+?)\1+$ attempts to match the input with a repeating group of '1's. If a match is found, the number is not prime, because a repeating subgroup of '1's represents a divisor.
This pattern should be used in a negative sense: if a string of 1s (representing your number in unary form) matches this pattern, it's not prime. If it doesn't match, then it is prime.
Again, this is quite impractical for real use cases as the unary representation is extremely inefficient, and the computation grows quickly with larger numbers, but it's a neat way of showing how flexible and powerful regular expressions can be."