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What defines a prime number?
A prime number is a whole number greater than 1 that has exactly two divisors: 1 and itself.
Why is the number 1 not considered a prime number?
The number 1 is not a prime number because it only has one divisor.
What is the first prime number?
The first prime number is 2, which is also the only even prime number.
Can you give examples of prime numbers?
Examples of prime numbers include 2, 3, 5, 7, 11, 13, 17, 19, 23, and 29.
What are some examples of composite numbers?
Numbers like 4 (2 × 2) and 15 (3 × 5) are composite because they have more than two factors.
Why are prime numbers important in mathematics?
Prime numbers are considered the 'building blocks' of all numbers, as every whole number greater than 1 can be factored into a unique combination of primes.
How are prime numbers utilized in modern applications?
Prime numbers are used in creating secure encryption algorithms for computer security and internet privacy.