use the FastExp algorithm to compute35040 MOD 76397.Explain how and why Pollard's p – 1 factorisation method works.-Illustrate your explanation in (b) by using the result from part (a) to factorise thenumber 76397, given that this number is known to be the product of two primes pand q such that p-1 has no prime factor bigger than 7 (we say that p is 7-smooth).

1. Lets first use the FastExp algorithm to compute 3^5040 MOD 76397 = 43622 2. Then let's explain…

Answered: use the FastExp algorithm to compute…

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use the FastExp algorithm to compute 35040 MOD 76397. Explain how and why Pollard's p – 1 factorisation method works.

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Question

use the FastExp algorithm to compute
35040 MOD 76397.
Explain how and why Pollard's p – 1 factorisation method works.
-
Illustrate your explanation in (b) by using the result from part (a) to factorise the
number 76397, given that this number is known to be the product of two primes p
and q such that p-1 has no prime factor bigger than 7 (we say that p is 7-smooth).

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