Math 406, Spring 2014: Class Announcements


Welcome to the class! Class announcements and useful documents will appear here. New material will be added at the top. Make it a habit to look here.

I'm going to try keeping the lecture notes and an indication of the current assignments at the top of the page: watch for other things that might appear below.

The Lecture Notes (and other tools)

Here are the lecture notes. I notice that there are some good note readers out there, catching typos and other slips...keep it up! The notes have been updated 4/28/2014, with the completion of the n=3 case of Fermat's Last Theorem. I have not come up with creative thoughts about homework related to that topic, so I will leave it to Dr. Scheepers to give you your next homework assignment. It was interesting to lecture it; do please read my proof, as in at least one place it differs noticeably from my lecture (though overall the plan is the same, including the strange order). I was unable to post the Macys paper, but the essence of it is in the notes.

I will not be caught up on homework grading tomorrow (I have been ambushed by a trip to the mountains with my Significant Other followed immediately by the Passover holiday) but I should have a new lecture out and a new homework assignment for you to have fun with.

I have found ingredients for the proof of the FLT with n=3. It is quite formidable: it remains to be seen whether I am brave enough to present it!

Here is my Euclidean algorithm spreadsheet calculator.

The Current Assignment(s)

The Assignment posed 4/16/2014 and due 4/25/2014: Some problems from the other book I used for the Rabin witness proof, which I will post in a file here; 30.1, 30.2, 30.3, 31.1, 31.2, 31.3

I am posting an assignment now (4/6/2014, Sunday) though I have not yet updated the notes. I hope I will have those ready by class Wednesday, and of course what I said did (mostly) follow the book. Since I am posting it Sunday the 6th, I am making it due Wednesday the 16th rather than Friday the 11th.

The Assignment: 21.2 (if I did not assign it already), 23.2, 23.3 optional, 23.4, 23.5; 24.1a (exploratory), 24.3 (do this as much by hand as possible), 24.4 (ditto), 24.8 (optional, encouraged, and I'll probably eventually post one), 25.1, 25.2, 25.6 (I don't know the answer...) It is possible that I will add a problem or two based on Wednesday's lecture.

I would still like to see some Secret Message traffic – three RSA keys are up now...

RSA Keys

Mr Kempf submits the first one:







Reply to him at with your secret message!

Mr Elbakri submits the second one:

n = p*q








r =








Reply to him at with your Secret Message!

Here are the RSA details for

N := 1210408270012494478548756395181346009914



r := 34631

Office Hours and Schedule

My office is MB240A. I have M287 (Communication in Mathematics) 12-2 pm T/Th and M406 (Number Theory) 10:30-11:45 am WF. I have logic seminar on Tuesdays at 2 pm. My official office hours will be 10:30-11:45 T/Th and 3:15-4:45 T/W/Th/F effective immediately. Students should be warned that afternoon department meetings or colloquium talks may cause 3:15 office hours to be cancelled; I will provide notification of this on my door, and will try to provide other notification online when I can. I will very likely not be on campus on Mondays; on the other four weekdays I will usually be on campus from 10:30 (or possibly earlier) to 5. If I am in my office I will usually be available to you.

Announcement: In the last two weeks of class Dr. Scheepers will teach the class. I have to have surgery shortly after April 25th. I have decided (subject to change) that a third hour exam will be administered during the final exam period, rather than a cumulative final.

I will in any case be awarding your final grades, but I will be out of sight.

Important Announcement (old)

Test I will be on Friday February 21st. See review sheet just below! Your fourth homework set will be returned graded to you on Wednesday. The coverage of the test includes the material in Homework 5, so make sure that you are armed with questions on Wednesday!

HERE is a review sheet for Test I.

The test has been marked. The grade distribution (using a rather esoteric formula) was 100, 93, 72, 70, 65. I'll go over the test tomorrow.

The Review Sheet for Test II (old)

Here is the review sheet for the Test on March 21st.