Mayur Arya
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Identify whether each statement is true or false. Explain. e) 2 is a prime and so is the next number, 3. For every other prime, the next number is composite.

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True. Among primes, only 2 and 3 are consecutive. For all other primes, the next number is either even or divisible by a smaller prime, making it composite. This holds universally for prime numbers.

Class 6 NCERT Ganita Prakash Chapter 5 Prime Time

class 6 Mathematics Textbook Chapter 5 question answer

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  1. The statement is true. 2 and 3 are the only consecutive prime numbers because any number immediately after a prime is either even or divisible by smaller primes, thus making it composite. For example, after 5 comes 6 (even), and after 7 comes 8 (even). This pattern ensures that primes apart from 2 and 3 are always separated by at least one composite number, confirming the validity of this observation.

    For more NCERT Solutions for Class 6 Math Chapter 5 Prime Time Extra Questions and Answer:
    https://www.tiwariacademy.com/ncert-solutions-class-6-maths-ganita-prakash-chapter-5/

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