Observe that 3 is a prime number, and 2 × 3 + 1 = 7 is also a prime - Figure it out - Page 114, 115

part 2 - Question 12 - Figure it out - Page 114, 115 - Chapter 5 Class 6 - Prime Time (Ganita Prakash) - Class 6 (Ganita Prakash & Old NCERT)

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Question 12 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? Find at least five such examples. Yes, here are five examples: For prime number 2: 2 × 2 + 1 = 5 And, 5 is a prime number For prime number 5: 2 × 5 + 1 = 11 And, 11 is a prime number For prime number 11: 2 × 11 + 1 = 23 And, 23 is a prime number For prime number 23: 2 × 23 + 1 = 47 And, 47 is a prime number For prime number 29: 2 × 29 + 1 = 59 And, 59 is a prime number

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 15 years. He provides courses for Maths, Science and Computer Science at Teachoo