Twin prime stands forSelect an answerAThe prime 2BThe prime 101Cprime that is 2 less or 2 more than another primeDprime of the form 2k + 1
Question
Twin prime stands for
Select an answer
A. The prime 2
B. The prime 101
C. prime that is 2 less or 2 more than another prime
D. prime of the form
Solution
Understanding Twin Primes
Twin primes are defined as pairs of prime numbers that have a difference of two. For instance, (3, 5) and (11, 13) are examples of twin primes since each pair consists of two prime numbers that are two units apart.
Analyzing the Options
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Option A: The prime 2
- This option refers to the prime number 2 individually, which is not relevant to twin primes.
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Option B: The prime 101
- This option also refers to a single prime number and does not describe the relationship characteristic of twin primes.
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Option C: Prime that is 2 less or 2 more than another prime
- This accurately describes twin primes since they are pairs (p, p+2) or (p, p-2) where both p and p+2 (or p-2) are prime.
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Option D: Prime of the form 2k + 1
- While this represents an odd prime number when k is a non-negative integer, it does not specifically define twin primes.
Conclusion
The correct answer is C: prime that is 2 less or 2 more than another prime, as this definition succinctly captures what twin primes are.
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