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18 June, 08:08

Which of the following numbers is a Mersenne prime?

A: 90

B: 27 - 1

C: 211 - 1

D: 15

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Answers (1)
  1. 18 June, 08:24
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    B: 2⁷-1 = 127

    Step-by-step explanation:

    A Mersenne prime is a prime of the form 2^n - 1, where n is also a prime.

    Among the answer choices, neither 90=2·3²·5 nor 15=3·5 is prime. Both 2⁷-1 = 127 and 2¹¹-1 = 2047 are of the right form, but 2047 = 23·89 is a composite number.

    2⁷-1 = 127 is a Mersenne prime
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