13. [PEN A14 A71]
A14. Let be an integer. Show that does not divide .
A71. Determine all integers such that is an integer.
Here is the official solution file: pen13.pdf
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Archive for November, 2008
13S Minimum prime divisors
Posted in PEN Solutions Archive on November 28, 2008 | 1 Comment »
13 Minimum prime divisors
Posted in Problem of the Bi-Week on November 18, 2008 | Leave a Comment »
13. [PEN A14 A71]
A14. Let be an integer. Show that does not divide .
A71. Determine all integers such that is an integer.
12S A Generalization of an Identity
Posted in PEN Solutions Archive on November 10, 2008 | 6 Comments »
12. PEN I10 Show that for all primes ,
.
Here is the official solution file: pen12.pdf
You can also discuss the problems here!