Yes. Other primes satisfying the condition are: 5 → 2 × 5 + 1 = 11 (prime). 11 → 2 × 11 + 1 = 23 (prime). 13 → 2 × 13 + 1 = 27 (prime).
class 6 Mathematics Textbook Chapter 5 question answer
class 6 Mathematics Chapter 5 Prime Time solutions
Observe that 3 is a prime number, and 2 × 3 + 1 = 7 is also a prime. Are there other primes for which doubling and adding 1 gives another prime?
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Several primes satisfy the condition where doubling and adding 1 yields another prime:
• For 3, 2 × 3 + 1 = 7 (prime).
• For 5, 2 × 5 + 1 = 11 (prime).
• For 11, 2 × 11 + 1 = 23 (prime).
• For 13, 2 × 13 + 1 = 27 (prime).
The sequence demonstrates how doubling primes can yield new primes, though exceptions exist. Testing higher primes verifies these conditions.
For more NCERT Solutions for Class 6 Math Chapter 5 Prime Time Extra Questions and Answer:
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