Portfolio of Accounting Systems for Small and Medium-Sized Businesses.
11th Edition
ISBN: 9780136857761
Author: National Society of Public Accountants Staff
Publisher: Prentice Hall
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Chapter 6, Problem 52ES
To determine
To calculate: The fraction value of percent value
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Without evaluating the Legendre symbols, prove the following.
(i) 1(173)+2(2|73)+3(3|73) +...+72(72|73) = 0.
(Hint: As r runs through the numbers 1,2,.
(ii) 1²(1|71)+2²(2|71) +3²(3|71) +...+70² (70|71)
= 71{1(1|71) + 2(2|71) ++70(70|71)}.
72, so does 73 – r.)
By considering the number N = 16p²/p... p² - 2, where P1, P2, … … … ‚ Pn
are primes, prove that there are infinitely many primes of the form
8k - 1.
(c) (i) By first considering the case where n is a prime power, prove that
n
μ² (d)
=
ø(n)
(d)'
n≥ 1.
d\n
(ii) Verify the result of part (c)(i) when n =
20.
Chapter 6 Solutions
Portfolio of Accounting Systems for Small and Medium-Sized Businesses.
Ch. 6.1 - Prob. 1-1SCCh. 6.1 - Prob. 1-2SCCh. 6.1 - Prob. 1-3SCCh. 6.1 - Prob. 1-4SCCh. 6.1 - Prob. 1-5SCCh. 6.1 - Prob. 1-6SCCh. 6.1 - Prob. 1-7SCCh. 6.1 - Prob. 1-8SCCh. 6.1 - Prob. 1-9SCCh. 6.1 - Prob. 1-10SC
Ch. 6.1 - Prob. 1-11SCCh. 6.1 - Prob. 1-12SCCh. 6.1 - Prob. 2-1SCCh. 6.1 - Prob. 2-2SCCh. 6.1 - Prob. 2-3SCCh. 6.1 - Prob. 2-4SCCh. 6.1 - Prob. 2-5SCCh. 6.1 - Prob. 2-6SCCh. 6.1 - Prob. 2-7SCCh. 6.1 - Prob. 2-8SCCh. 6.1 - Prob. 2-9SCCh. 6.1 - Prob. 2-10SCCh. 6.1 - Prob. 2-11SCCh. 6.1 - Prob. 2-12SCCh. 6.1 - Prob. 1SECh. 6.1 - Prob. 2SECh. 6.1 - Prob. 3SECh. 6.1 - Prob. 4SECh. 6.1 - Prob. 5SECh. 6.1 - Prob. 6SECh. 6.1 - Prob. 7SECh. 6.1 - Prob. 8SECh. 6.1 - Prob. 9SECh. 6.1 - Prob. 10SECh. 6.1 - Prob. 11SECh. 6.1 - Prob. 12SECh. 6.1 - Prob. 13SECh. 6.1 - Prob. 14SECh. 6.1 - Prob. 15SECh. 6.1 - Prob. 16SECh. 6.1 - Prob. 17SECh. 6.1 - Prob. 18SECh. 6.1 - Prob. 19SECh. 6.1 - Prob. 20SECh. 6.1 - Prob. 21SECh. 6.1 - Prob. 22SECh. 6.1 - Prob. 23SECh. 6.1 - Prob. 24SECh. 6.1 - Prob. 25SECh. 6.1 - Prob. 26SECh. 6.1 - Prob. 27SECh. 6.1 - Prob. 28SECh. 6.1 - Prob. 29SECh. 6.1 - Prob. 30SECh. 6.1 - Prob. 31SECh. 6.1 - Prob. 32SECh. 6.1 - Prob. 33SECh. 6.1 - Prob. 34SECh. 6.1 - Prob. 35SECh. 6.2 - Prob. 1-1SCCh. 6.2 - Prob. 1-2SCCh. 6.2 - Prob. 1-3SCCh. 6.2 - Prob. 1-4SCCh. 6.2 - Prob. 1-5SCCh. 6.2 - Prob. 1-6SCCh. 6.2 - Prob. 1-7SCCh. 6.2 - Prob. 1-8SCCh. 6.2 - Prob. 2-1SCCh. 6.2 - Prob. 2-2SCCh. 6.2 - Prob. 2-3SCCh. 6.2 - Prob. 2-4SCCh. 6.2 - Prob. 2-5SCCh. 6.2 - Prob. 2-6SCCh. 6.2 - Prob. 2-7SCCh. 6.2 - Prob. 2-8SCCh. 6.2 - Prob. 2-9SCCh. 6.2 - Prob. 1SECh. 6.2 - Prob. 2SECh. 6.2 - Prob. 3SECh. 6.2 - Prob. 4SECh. 6.2 - Prob. 5SECh. 6.2 - Prob. 6SECh. 6.2 - Prob. 7SECh. 6.2 - Prob. 8SECh. 6.2 - Prob. 9SECh. 6.2 - Prob. 10SECh. 6.2 - Prob. 11SECh. 6.2 - Prob. 12SECh. 6.2 - Prob. 13SECh. 6.2 - Prob. 14SECh. 6.2 - Prob. 15SECh. 6.2 - Prob. 16SECh. 6.2 - Prob. 17SECh. 6.2 - Prob. 18SECh. 6.2 - Prob. 19SECh. 6.2 - Prob. 20SECh. 6.2 - Prob. 21SECh. 6.2 - Prob. 22SECh. 6.2 - Prob. 23SECh. 6.2 - Prob. 24SECh. 6.2 - Prob. 25SECh. 6.2 - Prob. 26SECh. 6.2 - Prob. 27SECh. 6.2 - Prob. 28SECh. 6.2 - Prob. 29SECh. 6.2 - Prob. 30SECh. 6.2 - Prob. 31SECh. 6.2 - Prob. 32SECh. 6.2 - Prob. 33SECh. 6.2 - Prob. 34SECh. 6.2 - Prob. 35SECh. 6.2 - Prob. 36SECh. 6.2 - Prob. 37SECh. 6.2 - Prob. 38SECh. 6.3 - Prob. 1-1SCCh. 6.3 - Prob. 1-2SCCh. 6.3 - Prob. 1-3SCCh. 6.3 - Prob. 1-4SCCh. 6.3 - Prob. 1-5SCCh. 6.3 - Prob. 1-6SCCh. 6.3 - Prob. 2-1SCCh. 6.3 - Prob. 2-2SCCh. 6.3 - Prob. 2-3SCCh. 6.3 - Prob. 2-4SCCh. 6.3 - Prob. 2-5SCCh. 6.3 - Prob. 2-6SCCh. 6.3 - Prob. 2-7SCCh. 6.3 - Prob. 3-1SCCh. 6.3 - Prob. 3-2SCCh. 6.3 - Prob. 3-3SCCh. 6.3 - Prob. 3-4SCCh. 6.3 - Prob. 3-5SCCh. 6.3 - Prob. 3-6SCCh. 6.3 - Prob. 1SECh. 6.3 - Prob. 2SECh. 6.3 - Prob. 3SECh. 6.3 - Prob. 4SECh. 6.3 - Prob. 5SECh. 6.3 - Prob. 6SECh. 6.3 - Prob. 7SECh. 6.3 - Prob. 8SECh. 6.3 - Prob. 9SECh. 6.3 - Prob. 10SECh. 6.3 - Prob. 11SECh. 6.3 - Prob. 12SECh. 6.3 - Prob. 13SECh. 6.3 - Prob. 14SECh. 6.3 - Prob. 15SECh. 6.3 - Prob. 16SECh. 6.3 - Prob. 17SECh. 6.3 - Prob. 18SECh. 6.3 - Prob. 19SECh. 6.3 - Prob. 20SECh. 6 - Prob. 1ESCh. 6 - Prob. 2ESCh. 6 - Prob. 3ESCh. 6 - Prob. 4ESCh. 6 - Prob. 5ESCh. 6 - Prob. 6ESCh. 6 - Prob. 7ESCh. 6 - Prob. 8ESCh. 6 - Prob. 9ESCh. 6 - Prob. 10ESCh. 6 - Prob. 11ESCh. 6 - Prob. 12ESCh. 6 - Prob. 13ESCh. 6 - Prob. 14ESCh. 6 - Prob. 15ESCh. 6 - Prob. 16ESCh. 6 - Prob. 17ESCh. 6 - Prob. 18ESCh. 6 - Prob. 19ESCh. 6 - Prob. 20ESCh. 6 - Prob. 21ESCh. 6 - Prob. 22ESCh. 6 - Prob. 23ESCh. 6 - Prob. 24ESCh. 6 - Prob. 25ESCh. 6 - Prob. 26ESCh. 6 - Prob. 27ESCh. 6 - Prob. 28ESCh. 6 - Prob. 29ESCh. 6 - Prob. 30ESCh. 6 - Prob. 31ESCh. 6 - Prob. 32ESCh. 6 - Prob. 33ESCh. 6 - Prob. 34ESCh. 6 - Prob. 35ESCh. 6 - Prob. 36ESCh. 6 - Prob. 37ESCh. 6 - Prob. 38ESCh. 6 - Prob. 39ESCh. 6 - Prob. 40ESCh. 6 - Prob. 41ESCh. 6 - Prob. 42ESCh. 6 - Prob. 43ESCh. 6 - Prob. 44ESCh. 6 - Prob. 45ESCh. 6 - Prob. 46ESCh. 6 - Prob. 47ESCh. 6 - Prob. 48ESCh. 6 - Prob. 49ESCh. 6 - Prob. 50ESCh. 6 - Prob. 51ESCh. 6 - Prob. 52ESCh. 6 - Prob. 53ESCh. 6 - Prob. 54ESCh. 6 - Prob. 55ESCh. 6 - Prob. 56ESCh. 6 - Prob. 57ESCh. 6 - Prob. 58ESCh. 6 - Prob. 59ESCh. 6 - Prob. 60ESCh. 6 - Prob. 61ESCh. 6 - Prob. 62ESCh. 6 - Prob. 63ESCh. 6 - Prob. 64ESCh. 6 - Prob. 65ESCh. 6 - Prob. 66ESCh. 6 - Prob. 67ESCh. 6 - Prob. 68ESCh. 6 - Prob. 69ESCh. 6 - Prob. 70ESCh. 6 - Prob. 71ESCh. 6 - Prob. 72ESCh. 6 - Prob. 73ESCh. 6 - Prob. 74ESCh. 6 - Prob. 75ESCh. 6 - Prob. 76ESCh. 6 - Prob. 77ESCh. 6 - Prob. 78ESCh. 6 - Prob. 79ESCh. 6 - Prob. 80ESCh. 6 - Prob. 81ESCh. 6 - Prob. 82ESCh. 6 - Prob. 83ESCh. 6 - Prob. 84ESCh. 6 - Prob. 85ESCh. 6 - Prob. 86ESCh. 6 - Prob. 87ESCh. 6 - Prob. 88ESCh. 6 - Prob. 89ESCh. 6 - Prob. 90ESCh. 6 - Prob. 91ESCh. 6 - Prob. 1PTCh. 6 - Prob. 2PTCh. 6 - Prob. 3PTCh. 6 - Prob. 4PTCh. 6 - Prob. 5PTCh. 6 - Prob. 6PTCh. 6 - Prob. 7PTCh. 6 - Prob. 8PTCh. 6 - Prob. 9PTCh. 6 - Prob. 10PTCh. 6 - Prob. 11PTCh. 6 - Prob. 12PTCh. 6 - Prob. 13PTCh. 6 - Prob. 14PTCh. 6 - Prob. 15PTCh. 6 - Prob. 16PTCh. 6 - Prob. 17PTCh. 6 - Prob. 18PTCh. 6 - Prob. 19PTCh. 6 - Prob. 20PTCh. 6 - Prob. 21PTCh. 6 - Prob. 22PTCh. 6 - Prob. 23PTCh. 6 - Prob. 24PTCh. 6 - Prob. 25PTCh. 6 - Prob. 26PTCh. 6 - Prob. 1CTCh. 6 - Prob. 2CTCh. 6 - Prob. 3CTCh. 6 - Prob. 4CTCh. 6 - Prob. 5CTCh. 6 - Prob. 6CTCh. 6 - Prob. 7CTCh. 6 - Prob. 8CTCh. 6 - Prob. 9CTCh. 6 - Prob. 10CTCh. 6 - Prob. 1CPCh. 6 - Prob. 2CPCh. 6 - Prob. 1CS1Ch. 6 - Prob. 2CS1Ch. 6 - Prob. 3CS1Ch. 6 - Prob. 1CS2Ch. 6 - Prob. 2CS2Ch. 6 - Prob. 3CS2Ch. 6 - Prob. 1CS3Ch. 6 - Prob. 2CS3Ch. 6 - Prob. 3CS3Ch. 6 - Prob. 4CS3Ch. 6 - Prob. 5CS3Ch. 6 - Prob. 6CS3Ch. 6 - Prob. 7CS3
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