Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP Posting-Version: Notesfiles; site smu.UUCP Path: utzoo!watmath!clyde!akgua!mcnc!unc!ulysses!mhuxl!ihnp4!inuxc!pur-ee!uiucdcs!parsec!smu!kp From: kp@smu.UUCP Newsgroups: net.math Subject: Pell's (Fermat's ?) equations - (nf) Message-ID: <14100002@smu.UUCP> Date: Fri, 20-Apr-84 16:39:00 EST Article-I.D.: smu.14100002 Posted: Fri Apr 20 16:39:00 1984 Date-Received: Sun, 22-Apr-84 08:55:26 EST Lines: 16 Nf-ID: #N:smu:14100002:000:321 Nf-From: smu!kp Apr 20 15:39:00 1984 #N:smu:14100002:000:321 smu!kp Apr 20 15:39:00 1984 Consider equations of following type: x^2 - d*y^2 = 1 where x, y, d are all positive integers. Can you give me the least positive integral solutions in x and y, if they exist, for the following equations: (1) X^2 - 961*Y^2 = 1 (2) X^2 - 991*Y^2 = 1 ( Answer next week )