What is the largest prime number known so far?
Could you please elaborate on the current status of the largest prime number that has been discovered up to this point? I'm particularly interested in knowing the value of this number, the methods used to find it, and any implications it may have in the field of mathematics or cryptography. Furthermore, I'm curious if there are any ongoing efforts to uncover even larger prime numbers and what challenges researchers face in this pursuit.
Why is 67 not a prime number?
Could you explain to me why 67 is not considered a prime number? As I understand, a prime number is a whole number greater than 1 that has no divisors other than 1 and itself. So, when I look at 67, it seems to me that it only has 1 and 67 as its divisors, making it a prime number. Could you clarify why this is not the case?
Why is 4 not a prime number?
I'm curious, could you please explain to me why the number 4 is not considered a prime number? I've heard that a prime number is a number greater than 1 that has no divisors other than 1 and itself. So, shouldn't 4 meet this criteria since it's only divisible by 1 and 4? Or am I missing something fundamental about the definition of a prime number?
Is 2 a prime number, yes or no?
Excuse me, could you please clarify something for me? I'm a bit confused about a certain concept in mathematics. Specifically, I'm wondering about the classification of the number 2. Could you please tell me, is 2 considered a prime number or not? I'm genuinely curious to understand the reasoning behind this classification. Your expertise in the field would be greatly appreciated.
What is the famous prime number problem?
Could you elaborate on the famous prime number problem? It seems to be a mathematical enigma that has intrigued scholars for centuries. Is it related to the infinite sequence of prime numbers and the search for a pattern or a formula to predict them? Or is it a question about the distribution of prime numbers within the natural numbers, and whether there's a way to determine if a large number is prime without performing exhaustive divisibility tests? Perhaps you could explain the significance of this problem in the broader context of number theory and cryptography, and discuss some of the attempts that have been made to solve it over the years.