Show that if (p) and (q) are distinct primes, then (p^{q-1}+q^{p-1} equiv 1 bmod p q).
Question:
Show that if \(p\) and \(q\) are distinct primes, then \(p^{q-1}+q^{p-1} \equiv 1 \bmod p q\).
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (2 reviews)
Answered By
Douglas Makokha
Unlock Academic Success with Dedicated Tutoring and Expert Writing Support!
Are you ready to excel in your academics? Look no further! As a passionate tutor, I believe that dedication and hard work are the keys to achieving outstanding results. When it comes to academics, I strive to provide nothing but the best for every student I encounter.
With a relentless thirst for knowledge, I have extensively researched numerous subjects and topics, equipping myself with a treasure trove of answers to tackle any question that comes my way. With four years of invaluable experience, I have mastered the art of unraveling even the most intricate problems. Collaborating with esteemed writers has granted me exclusive access to the trade secrets utilized by the industry's top professionals.
Allow me the pleasure of assisting you with your writing assignments. I thrive on challenges and will guide you through any obstacles you may face. Together, we will unlock your academic potential and pave the way for your success.
4.90+
62+ Reviews
349+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
In this question assume that p and q are atomic formulae. (a) Compare and contrast path formulae and state formulae in temporal logic. [4 marks] (b) Describe and contrast the meanings of F(G p) and...
-
a) Prove that if p and q are odd primes and q dividesa p -1, then either q divides a-1 or q = 2kp + 1 for someinteger k. b) Use part a to show that if p is an odd prime, then theprime divisors of 2 p...
-
Answer the following programming Questions. Use the information given below. (a) List and briefly describe other ways in which the syntax and the interpretation of query languages may vary. (b)...
-
By knowing the value of e/m how you will calculate the mass of an electron?
-
An auto dealer has hired you to help improve the performance of its sales and service staff. Your first task is to conduct a needs analysis for the organization. Describe what you will do. Then,...
-
Capital Gains versus Income Consider four different stocks, all of which have a required return of 18 percent and a most recent dividend of $4.50 per share. Stocks W, X, and Y are expected to...
-
A company wants to develop a level production plan. The beginning inventory is zero. Demand for the next four periods is given in what follows. a. What production rate per period will give a zero...
-
The 2014 and 2013 balance sheets of Wilson Corporation follow. The 2014 income statement is also provided. Wilson had no noncash investing and financing transactions during 2014. During the year, the...
-
The following inventory transactions took place for Sheridan Ltd. for the year ended December 31 2020 Date Cost/ Selling Price Event Quantity Jan 1 opening inventory 19.980 $40.25 Jan 5 sale 5.920...
-
The number \((p-1)!(\bmod p)\) came up in our proof of Fermat's Little Theorem, although we didn't need to find it. Calculate \((p-1)!(\bmod p)\) for some small prime numbers \(p\). Find a pattern...
-
Let \(p\) be a prime number and \(k\) a positive integer. (a) Show that if \(p\) is odd and \(x\) is an integer such that \(x^{2} \equiv 1 \bmod p^{k}\), then \(x \equiv \pm 1 \bmod p^{k}\). (b) Find...
-
For each of the parts below, you want to withdraw $8,000 from an account at the end of 10 years. a. What single sum of money must you deposit today if the account earns 8 percent compound interest?...
-
Winston Electronics reported the following information at its annual meetings. The company had cash and marketable securities worth $1,235,740, accounts payables worth $4,160,391, inventory of...
-
Hooray Company has been manufacturing 12,000 units of Part A which is used to manufacture one of its products. At this level of production, the cost per unit is as follows: Direct materials P 4.80...
-
At the beginning of the period, the Grinding Department budgeted direct labor of $171,200 and property tax of $57,000 for 10,700 hours of production. The department actually completed 12,800 hours of...
-
The following information is available for Shamrock Corporation for the year ended December 31, 2025. Beginning cash balance $ 58,500 Accounts payable decrease 4,810 Depreciation expense 210,600...
-
In today's stock market, compounding is the key to making money in the future for one's investments. However, with decentralized currency growing rapidly (Crypto), how can one rely on TVM for FV...
-
Do golfers who are members of private courses play faster than players on a public course? The amount of time taken for a sample of private course and public-course golfers was recorded. a. Draw box...
-
When the concentration of a strong acid is not substantially higher than 1.0 10-7 M, the ionization of water must be taken into account in the calculation of the solution's pH. (a) Derive an...
-
please help Problem 13-7 (Algo) Prepare a Statement of Cash Flows [LO13-1, LO13-2] [The following information applies to the questions displayed below.] Comparative financial statements for Weaver...
-
A firm has 1000 shareholders, each of whom own $59 in shares. The firm uses $28000 to repurchase shares. What percentage of the firm did each of the remaining shareholders own before the repurchase,...
-
Vancouver Bank agrees to lend $ 180,000 to Surrey Corp. on November 1, 2020 and the company signs a six-month, 6% note maturing on May 1, 2021. Surrey Corp. follows IFRS and has a December 31 fiscal...
Study smarter with the SolutionInn App