Homework Help is Here – Start Your Trial Now!
Engineering
Computer Engineering
We are interested to see divisibility checking of only prime numbers in base 10. For a prime P, you need to find the smallest positive integer N such that P's divisibility testing is "N-sum" or "N-alterum". Remember divisibility testing of 3 in base 10? It was simple, right? We need to add all the digits and then check if it is divisible by 3. Call this method "1-sum". • In case of testing of 11, we need to add all digits by alternating their signs. For example,1354379988104 = 11*123125453464 and (4- 0+1-8+8-9+9-7+3-4+5-3+1) = 0, which is divisible by 11 (0 = 0*11). Let's call this method "1-altersum". • In case of 7, we need to add all 3-digit-groups by alternating their signs. For example, 8618727529993 = 7*1231246789999 and (993- 529+727-618+8) = 581, which is divisible by 7 (581 = 7*83). Similarly, we call this method "3-altersum". In similar Manner, 13's checking is "3.altersum"

We are interested to see divisibility checking of only prime numbers in base 10. For a prime P, you need to find the smallest positive integer N such that P's divisibility testing is "N-sum" or "N-alterum". Remember divisibility testing of 3 in base 10? It was simple, right? We need to add all the digits and then check if it is divisible by 3. Call this method "1-sum". • In case of testing of 11, we need to add all digits by alternating their signs. For example,1354379988104 = 11*123125453464 and (4- 0+1-8+8-9+9-7+3-4+5-3+1) = 0, which is divisible by 11 (0 = 0*11). Let's call this method "1-altersum". • In case of 7, we need to add all 3-digit-groups by alternating their signs. For example, 8618727529993 = 7*1231246789999 and (993- 529+727-618+8) = 581, which is divisible by 7 (581 = 7*83). Similarly, we call this method "3-altersum". In similar Manner, 13's checking is "3.altersum"

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
See similar textbooks
icon
Related questions
Question
100%
We are interested to see divisibility checking of only prime numbers in base 10. For a prime P, you need to find the smallest positive integer N such that P's divisibility testing is "N-sum" or "N-alterum". Remember divisibility testing of 3 in base 10? It was simple, right? We need to add all the digits and then check if it is divisible by 3. Call this method "1-sum". In case of testing of 11, we need to add all digits by alternating their signs. For example,1354379988104 = 11*123125453464 and (4- 0+1-8+8-9+9-7+3-4+5-3+1) = 0, which is divisible by 11 (0 = 0*11). Let's call this method "1-altersum". In case of 7, we need to add all 3-digit-groups by alternating their signs. For example, 8618727529993 = 7*1231246789999 and (993- 529+727-618+8) = 581, which is divisible by 7 (581 = 7*83). Similarly, we call this method "3-altersum". In similar Manner, 13's checking is "3-altersum". Develop a C++ program that solve the above problem, sample input output is listed below. Input: 1 78 Output: Case 1: 77-altersum
Transcribed Image Text:We are interested to see divisibility checking of only prime numbers in base 10. For a prime P, you need to find the smallest positive integer N such that P's divisibility testing is "N-sum" or "N-alterum". Remember divisibility testing of 3 in base 10? It was simple, right? We need to add all the digits and then check if it is divisible by 3. Call this method "1-sum". In case of testing of 11, we need to add all digits by alternating their signs. For example,1354379988104 = 11*123125453464 and (4- 0+1-8+8-9+9-7+3-4+5-3+1) = 0, which is divisible by 11 (0 = 0*11). Let's call this method "1-altersum". In case of 7, we need to add all 3-digit-groups by alternating their signs. For example, 8618727529993 = 7*1231246789999 and (993- 529+727-618+8) = 581, which is divisible by 7 (581 = 7*83). Similarly, we call this method "3-altersum". In similar Manner, 13's checking is "3-altersum". Develop a C++ program that solve the above problem, sample input output is listed below. Input: 1 78 Output: Case 1: 77-altersum
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Computer Networking: A Top-Down Approach (7th Edi…
Computer Networking: A Top-Down Approach (7th Edi…
Computer Engineering
ISBN:
9780133594140
Author:
James Kurose, Keith Ross
Publisher:
PEARSON
Computer Organization and Design MIPS Edition, Fi…
Computer Organization and Design MIPS Edition, Fi…
Computer Engineering
ISBN:
9780124077263
Author:
David A. Patterson, John L. Hennessy
Publisher:
Elsevier Science
Network+ Guide to Networks (MindTap Course List)
Network+ Guide to Networks (MindTap Course List)
Computer Engineering
ISBN:
9781337569330
Author:
Jill West, Tamara Dean, Jean Andrews
Publisher:
Cengage Learning
Concepts of Database Management
Concepts of Database Management
Computer Engineering
ISBN:
9781337093422
Author:
Joy L. Starks, Philip J. Pratt, Mary Z. Last
Publisher:
Cengage Learning
Prelude to Programming
Prelude to Programming
Computer Engineering
ISBN:
9780133750423
Author:
VENIT, Stewart
Publisher:
Pearson Education
Sc Business Data Communications and Networking, T…
Sc Business Data Communications and Networking, T…
Computer Engineering
ISBN:
9781119368830
Author:
FITZGERALD
Publisher:
WILEY
SEE MORE TEXTBOOKS