Simple Prime Numbers Questions

In summary, Simple Prime Numbers Questions are basic inquiries about prime numbers, which are numbers that can only be divided by 1 and itself. These questions typically revolve around identifying prime numbers, determining if a number is prime, and understanding the properties of prime numbers. Some common examples of simple prime number questions include "What is the largest prime number?" and "Are negative numbers considered prime?" These questions serve as a foundation for understanding more complex concepts related to prime numbers and their role in mathematics.
  • #1
muna580
How do I find out if 4^2007 + 2007^4 is a prime number or not?
 
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  • #2
Is that a question or a puzzle?
 
  • #3
Write a program and let the computer figure it out. :biggrin:
 
  • #4
I will tell you, it's not prime; I don't want to say more.
 
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  • #5
try using modular arithmetic. i.e. p divides N if N is congruent to 0 modp.

this is not speculation, this is a hint.
 
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Related to Simple Prime Numbers Questions

1. What are prime numbers?

Prime numbers are positive integers that are divisible only by 1 and themselves. They have no other factors besides 1 and itself.

2. How do you determine if a number is prime or not?

To determine if a number is prime, you can check if it is divisible by any number between 2 and its square root. If it is not divisible by any of these numbers, then it is a prime number.

3. What is the smallest prime number?

The smallest prime number is 2. It is also the only even prime number.

4. Can prime numbers be negative?

No, prime numbers are defined as positive integers. Negative numbers can be considered as prime numbers in some number systems, but in the traditional definition, prime numbers are always positive.

5. How are prime numbers used in cryptography?

Prime numbers are used in cryptography to generate large, secure encryption keys. This is because prime numbers have only two factors, making them difficult to factorize and break the encryption.

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