Find all primes of the form $n^{3} - 1$ for natural number $n$ .

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Solution

In mathematics, a Mersenne prime is a prime number of the form $2^{n} - 1$ . This is to say that it is a prime number which is one less than a power of two. The first four Mersenne primes are $3, 7, 31, 127$ .
Here, Given that $n^{3} - 1, n = 2$
So, prime number $= 2^{3} - 1 = 7$

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