A prime number is called a Mersenne prime if it can be writtenin the form 2p - 1 for some positive integer p. Write a program that findsall 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 tobe stored in long. Your program may take several hours to run.)     p       2^p – 1---------------------2        33         75         31...

C++ Programming: From Problem Analysis to Program Design
8th Edition
ISBN:9781337102087
Author:D. S. Malik
Publisher:D. S. Malik
Chapter8: Arrays And Strings
Section: Chapter Questions
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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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