1. How many elements are there in Z 2. List all elements in Zis 3. Answer either'true' or "false" for each of the following statement. (a) 7191 (b) 13 611598 4. Let pq 119 where p and q are distinct primes. Compute the values of p and q [2 marks] [2 marks] 7. Are 1503 and 502 relatively prime? Why? [2 marks 1 [2 marks 1 [2 marks] 5. Compute the greatest common divisor of a = 120 and b= 23 using the Euclidean algorithm. Show your calculation as in the table in Slide number 9. [10 marks] 6. Compute the greatest common divisor of a= 1503 and b=502 using the Euclidean algorithm. Show your calculation as in the table in Slide number 9. [8 marks] [4 marks] 8. Give examples of two pairs of numbers that are relatively prime. For example, (2,3) and (5,7), If you discuss among yourselves, you are encouraged to give different answers.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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1. How many elements are there in Z,?
2. List all elements in Zis
CBS 416 Exercise: Basic Concepts in Number Theory
(b) 13611598
3. Answer either'true' or 'false' for each of the following statement.
(a) 7191
Ⓒ
4. Let pq = 119 where p and q are distinct primes. Compute the values of p and
7. Are 1503 and 502 relatively prime? Why?
..... ....
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5. Compute the greatest common divisor of a = 120 and b= 23 using the Euclidean algorithm.
Show your calculation as in the table in Slide number 9.
x
[2
marks]
[10 marks]
6. Compute the greatest common divisor of a=1503 and b=502 using the Euclidean algorithm.
Show your calculation as in the table in Slide number 9.
כ
[2
marks]
[2 marks
1
[2 marks
]
[2
marks]
8. Give examples of two pairs of numbers that are relatively prime. For example, (2,3) and (5,7).
If you discuss among yourselves, you are encouraged to give different answers.
49%
[8
marks]
[4
marks]
[4
marks]
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Transcribed Image Text:15:32 Ⓒp pp. Edit DO Tools 1. How many elements are there in Z,? 2. List all elements in Zis CBS 416 Exercise: Basic Concepts in Number Theory (b) 13611598 3. Answer either'true' or 'false' for each of the following statement. (a) 7191 Ⓒ 4. Let pq = 119 where p and q are distinct primes. Compute the values of p and 7. Are 1503 and 502 relatively prime? Why? ..... .... 00 Mobile View C 1 Share 20.6 KB/s 50 W PDF to DOC 5. Compute the greatest common divisor of a = 120 and b= 23 using the Euclidean algorithm. Show your calculation as in the table in Slide number 9. x [2 marks] [10 marks] 6. Compute the greatest common divisor of a=1503 and b=502 using the Euclidean algorithm. Show your calculation as in the table in Slide number 9. כ [2 marks] [2 marks 1 [2 marks ] [2 marks] 8. Give examples of two pairs of numbers that are relatively prime. For example, (2,3) and (5,7). If you discuss among yourselves, you are encouraged to give different answers. 49% [8 marks] [4 marks] [4 marks] Edit on PC
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