I was curious if I can get wolfram alpha to calculate for me the values of Y, but using only the prime integer values of X .

Currently I have the following:

solve y=x+(30/x)+1 over the integers

I would like to do something like this:

solve y=x+(30/x)+1 over the prime integers


solve y=x+(30/x)+1 over the prime numbers


So far I am not getting the response I want... which is X=3, and Y=14.

It's simply curiosity from my part whether I can get wolfram to do it.


You can find the relevant solutions with the function prime(x), which returns the $x$'th prime number and the syntax solve {y=prime(x)+30/prime(x)+1} over integers (link).

  • $\begingroup$ Annoyingly, this just returns the index, $x$, instead of the prime itself, $p_x$ but it's fairly easy to transition between the two. $\endgroup$ – Jam Aug 9 '18 at 11:11

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