origin of a certain exercise

Dear all,

I have quite recently been assigned to teach 5 Fortran sessions
to students. I am taking over the exercises from a collegue whom
i cannot reach at the moment.

In his bundle of exercises, there is one exercise of which i
think it is a 'typical well known' numerical exercise. The purpose is to
find x>1 for which x*(1/x) is not equal to 1, and also count how
many numbers are between 1 and this x.

I have found this exercise also in the following documents:

http://www.uni-essen.de/ingmath/klawonn/ueb_numerik_I_WS04/ueb5_WS04.pdf
http://www.uni-essen.de/ingmath/klawonn/ueb_numerik_I_WS04/arithmetik.m

which really makes me believe this is a well known exercise.
The source files i have received from my collegue have a name
'edelman.f90'...

Does anybody 'recognize' this exercise and can point me to some
references/books so that i can read a bit more about the
background of this exercise and how exactly the number
'257736490' was obtained?

Thanks,
Bart

--
"Share what you know. Learn what you don't."
.

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