100 number theory problems

... two odd numbers is an even number; (4) the sum of two even numbers is an even number; (5) the sum of an odd and even number is an odd number; (6) the product of two odd numbers is an odd number; ... Function Fermat Numbers Mersenne Numbers Perfect Numbers vi Contents Introductory Problems 75 Advanced Problems 83 Solutions to Introductory Problems 91 Solutions to Advanced Problems...

Ngày tải lên: 30/03/2014, 02:20

... Daniel Shanks Copyright 1978 by Daniel Shanks Library of Congress Cataloging in Publication Data Shanks Daniel Solved and unsolved problems in number theory Bibliography: p Includes index Numbers ... N-bit binary number, with ones for hands, and zeros for spaces Excluding the two possible patterns in RI : 1010 * 01 78 Solved and Unsolved Problems in...

Ngày tải lên: 15/03/2014, 16:03

Ngày tải lên: 31/03/2014, 16:22

Ngày tải lên: 31/03/2014, 16:22

... historical problems in elementary number theory (by email or via the website) that you think might belong in the book On the website you can also help me collecting solutions for the problems in the ... + y + z + t3 = 1999 has infinitely many integral solutions.3 Bulgaria 1999 H Determine all integers a for which the equation x2 + axy + y = has infinitely many distinct integer...

Ngày tải lên: 21/11/2015, 21:03

... resistance of 25 R at 20 C? Ans 2.53 485 Q per 100 ft A wire with a resistance of 5.16 Q has a diameter of 45 mils and a length of 1000 ft Another wire of the same material has a resistance of 16.5 ... resistance of 500 ft of No AWG wire of the same material at 25"C? The cross-sectional area of this wire is 0.0206 in2 24 [CHAP RESISTANCE Perhaps the best approach is to ca...

Ngày tải lên: 19/10/2013, 18:15

... books on circuit analysis and two on the digital computer He has been teaching courses in electric circuit analysis since 1959 Schaum’s Outline of Theory and Problems of BASIC CIRCUIT ANALYSIS ... SCHAUM’S OUTLINE OF THEORY AND PROBLEMS of BASIC CIRCUIT ANALYSIS Second Edition JOHN O’MALLEY, Ph.D Professor of Electrical Engineering University of Florida...

Ngày tải lên: 19/10/2013, 18:15

... let N = {1, 2, 3, } denote the natural numbers, and use the standard notation Z, Q, R, and C for the rings of integer, rational, real, and complex numbers, respectively In this book, we will ... so q = and r = 986 Notice that if a natural number d divides both 2261 and 1275, then d divides their difference 986 and d still divides 1275 On the other hand, if d divides both 1275 an...

Ngày tải lên: 07/03/2014, 16:20