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Piyush365
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Asked: 2026-10-01T04:56:39+00:00 In:

Find counterexamples to the following statements: (i) If n is a prime number, then 2ⁿ − 1 is a prime number. (ii) If n is an even number, then 2ⁿ + 1 is a prime number.

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For (i), n = 11 is prime, but 2¹¹ − 1 = 2047 = 23 × 89 is composite. For (ii), n = 6 is even, but 2⁶ + 1 = 65 = 5 × 13 is composite.

Class 9 Maths Ganita Manjari Part 2 chapter 9 question answer
Class 9 Maths Ganita Manjari Part 2 chapter 9 Propositions and their Converses solutions

cbse released class 9 ganita manjari part 2 bookdownload class 9 maths ganita manjari part 2 book and solutionsganita manjari part 2 solutions available!if n is an even numbern is a prime numberthen 2ⁿ + 1 is a prime number
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