Okay kiddo, let me explain what a prime signature is in a way that you can understand.
Imagine you have a secret code, and you want to know if someone else knows the code too. But you don't want to give them the code because then it wouldn't be a secret anymore. So instead, you create a special way of checking if they know the code without actually telling them what the code is.
A prime signature is like that special way of checking if someone knows something without telling them what it is. But instead of a secret code, it's about prime numbers.
Do you know what prime numbers are? They're special numbers that can only be divided by 1 and itself.
For example, 2 is a prime number because you can only divide it by 1 and 2. But 4 is not a prime number because you can divide it by 1, 2, and 4.
So how does a prime signature work? Well, let's say there's a number that you want to check if it's a prime number. Instead of checking if it can be divided by every number from 1 to itself, which would be a lot of work, you can use a prime signature.
The prime signature is a special code that you can calculate based on the number you want to check. If someone else knows the code, it means they know whether the number is prime or not. But they still don't know the number itself.
So why is this useful? It's helpful when you want to check if a number is a prime number without revealing what the number is. For example, in computer security, you might need to check if a password is correct without revealing what the password actually is.
So that's what a prime signature is – a special code that lets you check if someone knows whether a number is prime or not, without revealing the number itself.