Use Fermat's theorem to show that for any positive integer n, the integer n 37 - n
Question:
Use Fermat's theorem to show that for any positive integer n, the integer n37 - n is divisible by 383838.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 41% (12 reviews)
We show that n 37 n is divisible by each of the primes 37 19 13 7 3 and 2 for every positive ...View the full answer
Answered By
Bhartendu Goyal
Professional, Experienced, and Expert tutor who will provide speedy and to-the-point solutions. I have been teaching students for 5 years now in different subjects and it's truly been one of the most rewarding experiences of my life. I have also done one-to-one tutoring with 100+ students and help them achieve great subject knowledge. I have expertise in computer subjects like C++, C, Java, and Python programming and other computer Science related fields. Many of my student's parents message me that your lessons improved their children's grades and this is the best only thing you want as a tea...
3.00+
2+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
For any positive integer n determine (a) (b) i!(n - i)!
-
Show that for any positive integers i and j with i > j, we have Ti(x)Tj(x) = 1/2[Ti+j(x) + Tij(x)].
-
The Binomial Theorem states that for any positive integer n, Use this formula and the definition to show that d/dx (x n ) = nx n - 1 , for any positive integer n. (n 1) (a + b)" = a" + na"-'b + 21...
-
Four of Wands, LLC generated $255,000 in sales during January 2022. Of this amount, 25% was for cash. The remaining 75% of sales were made on account. The February 2022 sales on account were...
-
Facebook: A popular blog reports that 60% of college students log in to Facebook on a daily basis. The Dean of Students at a certain university thinks that the proportion may be different at her...
-
The Norway Cup is a European football youth cup and training camp that has arranged at Ekebergsletta in Oslo every year since 1972 (except for in 1976, when the organizers, Bkkelagets Sportsklub,...
-
What is the Consumer Credit Counseling Service?
-
At December 31, 2014, Townlynn Corporation reported the stockholders equity accounts shown here (with dollar amounts in millions, except per-share amounts). Common stock $2.00 par value per share,...
-
Sweetheart Brands packages single-sized servings of sugar and sugar substitute for fast-food restaurants. The activities required to package sugar are fewer and less complex than for the sugar...
-
Match the following and select the correct option. Height of Binary search tree(in worst o([log ]-1) 1 a (2n+1) case) Height of Ternary tree b O(n) Height of B-tree(when c minimum degree, -2) (log,...
-
Show that the characteristic of an integral domain D must be either 0 or a prime p.
-
Let R be a ring, and let R R be the set of all functions mapping R into R. For, R R , define the sum + by ( + )(r) = (r) + (r) and the product . by ( )(r) = (r)(r) for r R. Note that is not...
-
You blow a balloon up with air. What kinds of work terms, including flow work, do you see in that case? Where is energy stored?
-
You are the cost accountant of an engineering concern which has three departments - preparation, machining and assembly. The budgeted direct labour hours for the workshops are 8,000, 12,000 and...
-
What alternative to fostering fun and enjoyment at work do you think might have worked for Zappos?
-
Using the techniques of dimensional analysis, and assuming that experimentation shows the dimensionless number to be 1, derive the following equation: E v = Job card two The results of an ultrasonic...
-
Given the historical cost of product Carla Vista is $13, the selling price of product Carla Vista is $15, costs to sell product Carla Vista are $3, the replacement cost for product Carla Vista is...
-
What causes of outliers in statistics and when I create a boxplot why do I not see the outliers. What steps are to take in creating a boxplot?
-
Warren, Attorney at Law, experienced the following transactions in Year 1, the first year of operations: 1. Purchased $1,500 of office supplies on account. 2. Accepted $36,000 on February 1, Year 1,...
-
Teasdale Inc. manufactures and sells commercial and residential security equipment. The comparative unclassified balance sheets for December 31, 2015 and 2014 are provided below. Selected missing...
-
Several decades ago a large proportion of Americans smoked cigarettes. However, in recent years many adults have quit. To measure the extent of current smoking a random sample of American adults was...
-
Wages and salaries make up only part of a total compensation. Other parts include paid leave, health insurance, and many others. In 2013, wages and salaries among manufacturers in the United States...
-
In 2015, there were 124,587,000 (Source: United States Census) households in the United States. There were 81,716,000 family households made up of married couples, single male, and single female...
-
Kirk and Spock formed the Enterprise Company in 2010 as equal owners. Kirk contributed land held an investment ($50,000 basis; $100,000 FMV), and Spock contributed $100,000 cash. The land was used in...
-
Pedro lives in Puerto Rico and had a net taxable income of $35,000 for the year 20X1. Your gross income totals $60,000. What is Pedro's regular income tax for 20X1? a.$4,620 b.$4,900 c.$2,318 d.$2,520
-
The change in cash is equal to the change in liabilities less the change in equity plus the change in noncash assets. O True False
Study smarter with the SolutionInn App