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What are Twin Prime Numbers? Video Lecture | Advance Learner Course: Mathematics (Maths) Class 5

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1. What are twin prime numbers?
Ans. Twin prime numbers are a pair of prime numbers that are only two numbers apart. For example, (3, 5), (11, 13), and (17, 19) are all examples of twin prime numbers.
2. How many twin prime numbers are there?
Ans. The number of twin prime numbers is infinite. However, it is a subject of ongoing mathematical research to determine if there are an infinite number of twin primes.
3. Can twin prime numbers be consecutive?
Ans. No, twin prime numbers cannot be consecutive. By definition, twin prime numbers are pairs of prime numbers that are two numbers apart. If two prime numbers are consecutive, then they cannot be twin primes.
4. Are all prime numbers twin prime numbers?
Ans. No, not all prime numbers are twin prime numbers. Twin prime numbers are a specific subset of prime numbers where two primes are two numbers apart. For example, the prime number 7 is not a twin prime because there is no other prime number that is exactly two numbers apart from it.
5. What is the largest known twin prime number?
Ans. As of 2021, the largest known twin prime number is (2996863034895 · 2^1290000 ± 1). This number was discovered in 2016 and has a total of 388,342 digits. However, it is important to note that there might be even larger twin prime numbers yet to be discovered.
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