Problem

A prime number is called a Mersenne prime if it can be written in the form 2p - 1 for some...

A prime number is called a Mersenne prime if it can be written in the form 2p - 1 for some positive integer p. Write a program that finds all Mersenne primes with p … 100 and displays the output as shown below. (Hint: You have to use BigInteger to store the number, because it is too big to be stored in long. Your program may take several hours to run.)

 

p

2^p – 1

 

2

3

 

3

7

 

5

31

...

 

 

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