Conjecture no. 2

There exist at least (a-1) primes in the interval n^a to (n+1)^a, n and a being integers greater than 1.

If this sounds familiar, yes, it was inspired by (and is an extension of) Legendre’s conjecture. which states;

There exists at least 1 prime in the interval n^2 to ( n+1)^2, n being an integer.

It was not possible to verify this using Excel, as I did with the earlier conjecture. Excel does not have a “isPrime” function and the workarounds are too complex. However, I have done the verification for quite a number of cases using TI Nspire CX.

Once again, I invite the readers to prove or disprove this conjecture.

Thank you for taking the time to the read this blog and the support you have given.

Nunghead