Give three pairs of prime numbers whose difference is 2 Remark:two pri...
Explanation of Twin Prime Numbers:
Twin prime numbers are a pair of prime numbers that have a difference of 2 between them. For example, (3, 5), (11, 13), and (17, 19) are twin prime numbers.
Three pairs of Twin Prime Numbers:
- (3, 5): The difference between 5 and 3 is 2, making them a pair of twin prime numbers.
- (11, 13): The difference between 13 and 11 is 2, making them another pair of twin prime numbers.
- (17, 19): The difference between 19 and 17 is 2, making them a third pair of twin prime numbers.
Significance of Twin Prime Numbers:
Twin prime numbers are of particular interest in number theory because they are closely related to the distribution of prime numbers. While they are relatively rare compared to other pairs of primes, they occur infinitely often. The twin prime conjecture, which states that there are infinitely many twin prime pairs, remains an unsolved problem in mathematics.
In conclusion, twin prime numbers are a fascinating aspect of number theory that continues to intrigue mathematicians. The search for more twin prime pairs and a deeper understanding of their properties remain active areas of research in mathematics.
To make sure you are not studying endlessly, EduRev has designed UPSC study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in UPSC.