The mathematician Duro Kurepa defined for
and conjectured that
for all
. This conjecture has been verified by Ivic and Mijajlovic for
. Write a program in C or C++, or even MATLAB, Maple, or Mathematica or Scilab showing that this conjecture is true up to
.
I will surely share more programming pearls in number theory here.
Nalin Pithwa
Can you please share the source of this conjecture?
LikeLike
A. Ivic, and Z. Mijajlovic. On Kurepa’s problems in number theory, Publ. Inst. Math (Belgrade), 55, (1995), 19-28
LikeLike
Thanks! Found the paper (https://arxiv.org/abs/math/0312202), it’s called “left factorial hypothesis”.
LikeLike