Math 105
Topics in Number Theory
Instructor: Carl Pomerance (carl.pomerance at dartmouth.edu)
Abstract  Classes  Tutorials  Staff  Textbook  Grading  News and current assignment  Past assignments  Exams  Honor Code
News and current assignment 
Wheelock Books has informed me that the text is now in stock. We meet MWF at 11:15, and in 343 Kemeny. (PLEASE NOTE THE NEW ROOM) Homework due Wednesday, November 9:  
Abstract 
Primes and Polynomials:  
Classes 
Room: 004 Kemeny We may meet several of the xhours, but this will always be announced in advance. There will be no classes the week of October 24. 

Staff 


Textbook 

Homework 
Homework is due at the start
of the class period on the due date.


Past assignments 
Homework due Wednesday, September 28: Here's a comment about Exercise 3. It is unexpectedly difficult and the referenced paper only proves a weaker result: Either n!+k has a prime factor larger than n or it is a power of k and k is prime. One then deduces the same, namely that among the n numbers n!+k for k running from 1 to n, there are at least n distinct primes dividing them. The exercise as stated is true and it appears in a more difficult paper from 1979. I have worked out a proof of the original exercise along different lines and perhaps we can discuss it later in the term. For now, you are permitted to substitute the easier version discussed above. Homework due Wednesday, October 5, 2011: Homework due Wednesday, October 12: Homework due Wednesday, October 19: Homework due Wednesday, November 2:  
Exams 
There will be no exams, but students will be expected to make some presentations to the class.  
Grading 
Grades will be based on homework, class participation, and oral presentations. (Graduate students who are working towards their dissertations will be judged on a separate standard.) 

Honor Code 
Collaboration on homework is definitely allowed and even encouraged. However, it is tempting to think that you understand something that was figured out by your friend. When you hand in a solution, you should know it well enough that you could explain it to others. Please name others you worked with when handing in homework papers. Merely copying (electronic or otherwise) of another person's solutions, in whole or in part, is a violation of the Honor Code. 

Disabilities 
I encourage any students with disabilities, including "invisible" disabilities such as chronic diseases and learning disabilities, to discuss appropriate accommodations with me, which might help you with this class, either after class or during office hours. Dartmouth College has an active program to help students with disabilities, and I am happy to do whatever I can to help out, as appropriate. The Student Disabilities Coordinator, Nancy Pompian, can be reached at 62014 if you have any questions. Any student with a documented disability requiring academic adjustments or accommodations is requested to speak with me by the end of the second week of the term. All discussions will remain confidential, although the Academic Skills Center may be consulted to verify the documentation of the disability and advise on an appropriate response to the need. It is important, however, that you talk to me soon, so that I can make whatever arrangements might be needed in a timely fashion. 