given illustrations of unsolved questions relating directly to
the natural numbers
It would not be difficult to increase greatly the number of the
given illustrations of unsolved questions relating directly to
the natural numbers. In fact, the well-known greater Fermat
theorem is a question of this type, which does not appear more
important intrinsically than many others but has received
unusual attention in recent years on account of a very large
prize offered for its solution. In view of the fact that those
who have become interested in this theorem often experience
difficulty in finding the desired information in any English
publication, we proceed to give some details about this theorem
and the offered prize. The following is a free translation of a
part of the announcement made in regard to this prize by the
Konigliche Gesellschaft der Wissenschaften, Gottingen, Germany:
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