Class 5 Exam > Class 5 Questions > Which of the following are two consecutive pr...
Start Learning for Free
Which of the following are two consecutive prime numbers that differ by 2?
- a)Co-primes
- b)Twin primes
- c)Composite numbers
- d)Both (a) and (b)
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
Which of the following are two consecutive prime numbers that differ b...
- Three pairs of prime numbers whose difference is 2 are (5, 7), (11, 13) and (17, 19).
- A pair of prime numbers whose difference is 2 are called twin primes.
- The alternative names given to twin primes are prime twin or prime pair.
Most Upvoted Answer
Which of the following are two consecutive prime numbers that differ b...
Explanation:
Two consecutive prime numbers that differ by 2 are called twin primes. Twin primes are pairs of primes that have a difference of 2 between them. For example, (3, 5), (11, 13), and (17, 19) are twin prime pairs.
Prime Numbers:
Prime numbers are numbers that are greater than 1 and have no divisors other than 1 and themselves. For example, 2, 3, 5, 7, 11, 13, 17, 19, 23, and so on, are prime numbers.
Co-Primes:
Co-primes are numbers that have only 1 as their common divisor. In other words, co-prime numbers have a greatest common divisor (GCD) of 1. For example, (4, 7), (15, 28), and (9, 16) are pairs of co-prime numbers.
Composite Numbers:
Composite numbers are numbers that have more than two factors. In other words, composite numbers have divisors other than 1 and themselves. For example, 4, 6, 8, 9, 10, and 12 are composite numbers.
Answer:
The correct answer is option B, twin primes. Twin primes are the only ones among the given options that satisfy the condition of being two consecutive prime numbers that differ by 2. Co-primes and composite numbers do not necessarily have a difference of 2 between them.
The concept of twin primes is an interesting topic in number theory and has been studied extensively by mathematicians. Twin primes have been a subject of research for many years, and despite efforts, there is still no complete understanding of their distribution and properties.
Two consecutive prime numbers that differ by 2 are called twin primes. Twin primes are pairs of primes that have a difference of 2 between them. For example, (3, 5), (11, 13), and (17, 19) are twin prime pairs.
Prime Numbers:
Prime numbers are numbers that are greater than 1 and have no divisors other than 1 and themselves. For example, 2, 3, 5, 7, 11, 13, 17, 19, 23, and so on, are prime numbers.
Co-Primes:
Co-primes are numbers that have only 1 as their common divisor. In other words, co-prime numbers have a greatest common divisor (GCD) of 1. For example, (4, 7), (15, 28), and (9, 16) are pairs of co-prime numbers.
Composite Numbers:
Composite numbers are numbers that have more than two factors. In other words, composite numbers have divisors other than 1 and themselves. For example, 4, 6, 8, 9, 10, and 12 are composite numbers.
Answer:
The correct answer is option B, twin primes. Twin primes are the only ones among the given options that satisfy the condition of being two consecutive prime numbers that differ by 2. Co-primes and composite numbers do not necessarily have a difference of 2 between them.
The concept of twin primes is an interesting topic in number theory and has been studied extensively by mathematicians. Twin primes have been a subject of research for many years, and despite efforts, there is still no complete understanding of their distribution and properties.
Attention Class 5 Students!
To make sure you are not studying endlessly, EduRev has designed Class 5 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 5.
|
Explore Courses for Class 5 exam
|
|
Similar Class 5 Doubts
Top Courses for Class 5View all
Which of the following are two consecutive prime numbers that differ by 2?a)Co-primesb)Twin primesc)Composite numbersd)Both(a) and (b)Correct answer is option 'B'. Can you explain this answer?
Question Description
Which of the following are two consecutive prime numbers that differ by 2?a)Co-primesb)Twin primesc)Composite numbersd)Both(a) and (b)Correct answer is option 'B'. Can you explain this answer? for Class 5 2024 is part of Class 5 preparation. The Question and answers have been prepared according to the Class 5 exam syllabus. Information about Which of the following are two consecutive prime numbers that differ by 2?a)Co-primesb)Twin primesc)Composite numbersd)Both(a) and (b)Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 5 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following are two consecutive prime numbers that differ by 2?a)Co-primesb)Twin primesc)Composite numbersd)Both(a) and (b)Correct answer is option 'B'. Can you explain this answer?.
Which of the following are two consecutive prime numbers that differ by 2?a)Co-primesb)Twin primesc)Composite numbersd)Both(a) and (b)Correct answer is option 'B'. Can you explain this answer? for Class 5 2024 is part of Class 5 preparation. The Question and answers have been prepared according to the Class 5 exam syllabus. Information about Which of the following are two consecutive prime numbers that differ by 2?a)Co-primesb)Twin primesc)Composite numbersd)Both(a) and (b)Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 5 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following are two consecutive prime numbers that differ by 2?a)Co-primesb)Twin primesc)Composite numbersd)Both(a) and (b)Correct answer is option 'B'. Can you explain this answer?.
Solutions for Which of the following are two consecutive prime numbers that differ by 2?a)Co-primesb)Twin primesc)Composite numbersd)Both(a) and (b)Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 5.
Download more important topics, notes, lectures and mock test series for Class 5 Exam by signing up for free.
Here you can find the meaning of Which of the following are two consecutive prime numbers that differ by 2?a)Co-primesb)Twin primesc)Composite numbersd)Both(a) and (b)Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Which of the following are two consecutive prime numbers that differ by 2?a)Co-primesb)Twin primesc)Composite numbersd)Both(a) and (b)Correct answer is option 'B'. Can you explain this answer?, a detailed solution for Which of the following are two consecutive prime numbers that differ by 2?a)Co-primesb)Twin primesc)Composite numbersd)Both(a) and (b)Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of Which of the following are two consecutive prime numbers that differ by 2?a)Co-primesb)Twin primesc)Composite numbersd)Both(a) and (b)Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Which of the following are two consecutive prime numbers that differ by 2?a)Co-primesb)Twin primesc)Composite numbersd)Both(a) and (b)Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice Class 5 tests.
|
|
Explore Courses for Class 5 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup