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I entered
MinValue[{Prime[n], n>=1 && Element[n, Integers]}, n]
But I just got back what I entered. Why can mathematica not tell me the smallest prime is 2?
Even
MinValue[{Prime[n], 1<=n<=10 && Element[n, Integers]}, n]
seems to be beyond it, which is bizarre since it only has to check 10 values.
Presumably the problem is that the derivative of Prime is undefined in Mathematica
D[Prime[n], n]
(* Derivative[1][Prime][n] *)
Use NMinValue
NMinValue[{Prime[n], 1 <= n}, n, Integers]
(* 2. *)
NMinValue[{Prime[n], 1 <= n, Element[n, Integers]}, n]
(* 2. *)
Round to taste.
