Homework Help is Here – Start Your Trial Now!
Engineering
Computer Engineering
Legendre's formula finds the exponent of the largest power of some prime p that divides (is a factor of) the factorial of some number n. Legendre's formula example (p = 2 and n = 27): €₂ (27!) = =[]+[+] =13 +6+3+1 =23 So 2^23 is the largest power of 2 that divides 27!. The formula returns the sum of many fractions (rounded down) with n as the numerator and a steadily increasing power of p as the denominator, stopping when it exceeds the numerator. To illustrate: p = 5 n = 100 int(100/5)+ int(100/25) // No 100/125 because 125 > 100.

Legendre's formula finds the exponent of the largest power of some prime p that divides (is a factor of) the factorial of some number n. Legendre's formula example (p = 2 and n = 27): €₂ (27!) = =[]+[+] =13 +6+3+1 =23 So 2^23 is the largest power of 2 that divides 27!. The formula returns the sum of many fractions (rounded down) with n as the numerator and a steadily increasing power of p as the denominator, stopping when it exceeds the numerator. To illustrate: p = 5 n = 100 int(100/5)+ int(100/25) // No 100/125 because 125 > 100.

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

solution should be provided asap

Legendre's formula finds the exponent of the largest power of some prime p that divides (is a factor of) the factorial of some number n Legendre's formula example (p = 2 and n = 27): €₂ (27!) To illustrate: 27 27 []+[] + 2 p = 5 n = 100 =13 +6+3+1 =23 So 2^23 is the largest power of 2 that divides 27!. The formula returns the sum of many fractions (rounded down) with n as the numerator and a steadily increasing power of p as the denominator, stopping when it exceeds the numerator. 27 23 int(100/5) int(100/25) // No 100/125 because 125 > 100.
Transcribed Image Text:Legendre's formula finds the exponent of the largest power of some prime p that divides (is a factor of) the factorial of some number n Legendre's formula example (p = 2 and n = 27): €₂ (27!) To illustrate: 27 27 []+[] + 2 p = 5 n = 100 =13 +6+3+1 =23 So 2^23 is the largest power of 2 that divides 27!. The formula returns the sum of many fractions (rounded down) with n as the numerator and a steadily increasing power of p as the denominator, stopping when it exceeds the numerator. 27 23 int(100/5) int(100/25) // No 100/125 because 125 > 100.
Expert Solution
steps

Step by step

Solved in 4 steps with 2 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