It doesn't look like Mathematica has such a function ( ). The only advantage to a separate function is the sieve could be extended to n from the get go, which might be more efficient. What is the fifteenth prime number SOLUTION: The built-in function Prime n yields the nth prime. Then again, simply does give this, so I'm not sure if a separate function is needed. EXAMPLE: Create a list of the first 25 prime numbers. Let’s take a Fermat number F m, where we can define F m as 2 m +1. A lot of times I encounter really difficult problems for which I understand the solutions but have no idea how I could get to those solutions. A Fermat number is similar to the Mersenne Prime with one little tweak. The name stems from the 17th century mathematician and lawyer, Pierre De Fermat. If the user wants that they can slice the list returned by the function or use. A Fermat number, just like a Mersenne number, is a specific kind of prime number. All he could do was to search among the infinite array of primes for.
Since all primes are always computed in the sieve anyway, I don't think the function needs to accept an argument to compute the the kth to nth prime (what sieve does). Just as practical applications of prime numbers have emerged in the cryptographic. I think it would be simpler to have a function that returns the first n primes.
Perhaps there could be a better interface for calling that that returns a list rather than an array.Īlso, sieve confusingly uses 1-based indexing, but slices still use the semantics where the last element is not included, so sieve returns the first 10 primes.