Understanding Prime Triplets A prime triplet consists of three prime numbers that are closely related in value. To determine which of the given options is a prime triplet, we need to identify the prime numbers in each option. Definition of Prime Numbers - A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. Analyzing Each Option - Option A: (2, 3, 5) - All three numbers are prime. - However, they are not consecutive primes, as there is a gap between 2 and 3; thus, it does not form a triplet. - Option B: (3, 5, 7) - All three numbers are prime. - They are consecutive prime numbers and differ by 2, making this a valid prime triplet. - Option C: (5, 7, 11) - While all are prime, they are not consecutive. There is a gap (9) between 7 and 11, disqualifying them as a triplet. - Option D: (7, 9, 11) - The number 9 is not a prime number (it has divisors: 1, 3, 9). - Thus, this option cannot be a prime triplet. Conclusion The only valid prime triplet among the options is Option B: (3, 5, 7). It consists of three consecutive prime numbers, making it the correct answer.
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