A13 Show that for all prime numbers ,
is an integer.
Here is the official solution file: pen17.pdf.
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17S. A Hidden Divisibility
Posted in PEN Solutions Archive on March 16, 2009 | Leave a Comment »
16S. Using Quadratic Residues
Posted in PEN Solutions Archive on December 30, 2008 | Leave a Comment »
C2 The positive integers and are such that the numbers and are both squares of positive integers. What is the least possible value that can be taken on by the smaller of these two squares?
Here is the official solution file: pen16.pdf
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15. Exponential Congruence Sequence
Posted in PEN Solutions Archive, Problem of the Bi-Week on December 21, 2008 | Leave a Comment »
D5. Prove that for ,
D6. Show that, for any fixed integer the sequence is eventually constant.
Sorry all, for the delay of the problem 15. Here goes the solution: pen-15.pdf
