# Math 406, Spring 2014: Class Announcements

## Welcome

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:

r:=65537

N:=162837087469476816283928711343606418420527782497046237244383

476912367076023670691949204556058371949775226810591054987016908

632602546192272517243993785414139914246313383945575273588414959

268770613670718621617741598126979580105538564450076809493306532

25260373215734483030284034381111260364276980811858437

Mr Elbakri submits the second one:

n = p*q

44732446405058188141298592010174725244324356850

26021813277702129081892369158819408447230646845

95786067037338166164223298576335213512260572063

41010483761679056462503893487917910476110018730

81207502879587787722660876275028289101992595579

13037042127574210753484210055895607535202363642

321346199504060483

r =

20701252093057381805925750045267217563574918295

28861086845630654703949339896949303807913520296

46164442772163779202045461110554420549490118044

00434487194693261229686171624815718354815703056

12356370739777292600689709414103492650952364702

00092775357568899989301202498035934766659684005

006485834688476263

Here are the RSA details for MarkBenson@u.boisestate.edu

N := 1210408270012494478548756395181346009914

96246202768633976055283295435411825694880514

1403567828677667394181128101484501213309

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.