Questions tagged [prime number]

CryptoProphet Tue Aug 13 2024 | 6 answers 1730

Can you elaborate on the reason for inquiring about the primality of the number 170141183460469231731687303715884105727? Are you interested in the theoretical aspects of number theory, or do you have a specific application in mind where this property could be of importance? Furthermore, are you aware of the complexity and time-consuming nature of primality testing for extremely large numbers, especially ones with such a high magnitude? Additionally, is there a particular method or algorithm you would like to suggest for verifying the primality of this number?

Valentina Tue Aug 13 2024 | 6 answers 1131

Excuse me, but could you please clarify why 89 is considered a prime number? I understand that a prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself, but I'm curious to know how exactly 89 fits this definition. Is there a specific reason why 89 doesn't have any other divisors besides 1 and itself, or is it simply a matter of checking every number up to 89 to see if it divides evenly? I'm interested in understanding the mathematical properties that make 89 a prime number.

AndrewMiller Tue Aug 13 2024 | 5 answers 782

Could you please explain to me what the smallest prime number is, and how we can determine it? I'm interested in understanding the fundamental concepts of prime numbers and their properties, and I believe this information will be a good starting point for my understanding. Could you also provide any examples or illustrations to make it easier for me to grasp the concept? Thank you in advance for your time and explanation.

Leonardo Mon Aug 12 2024 | 5 answers 1198

Excuse me, could you clarify what you mean by the term "illegal prime number"? Prime numbers, as we know, are numbers greater than 1 that have no divisors other than 1 and themselves. They are fundamental building blocks of number theory and have been studied for centuries. However, the notion of an "illegal" prime number isn't a standard concept in mathematics or cryptography. Is there a specific context or application where this term is used that I'm not aware of? Could you elaborate on your question to help me better understand what you're asking?

ThunderBreezeHarmony Mon Aug 12 2024 | 7 answers 1607

Excuse me, but could you elaborate on how one would approach printing a prime number in a specific pattern? Are there any pre-determined steps or algorithms that one should follow to ensure the prime number is accurately portrayed in the desired pattern? Could you provide an example of such a process, perhaps with a code snippet or a step-by-step breakdown, to make it clearer for someone who might be unfamiliar with this concept?