Number theory, programming and RMO !!

The mathematician Duro Kurepa defined !n = 0! + 1! + \ldots + (n-1)! for (n-1)! and conjectured that (!n, n!) = 2 for all n \geq 2. This conjecture has been verified by Ivic and Mijajlovic for n < 10^{6}. Write a program in C or C++, or even MATLAB, Maple, or Mathematica or Scilab showing that this conjecture is true up to n=1000.

I will surely share more programming pearls in number theory here.

Nalin Pithwa

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