factorize the integer 2896753 by using the Quadratic Sieve
method
70.2K
Verified Solution
Link Copied!
Question
Advance Math
factorize the integer 2896753 by using the Quadratic Sievemethod
Answer & Explanation
Solved by verified expert
3.6 Ratings (314 Votes)
Code Language Java import javautilScanner import javautilArrayList import javautilHashSet This program will run a quadratic sieve to factor some numbers public class QuadraticSieve This is the range the matrix runs on 50000 works great because it works for all numbers in the range of long without being too large private static final long SIEVERANGE 50000 This is a private class to be used as a touple for saving an ArrayList and its integer index and some other things private static class Pair private final X x private final Y y public PairX x Y y thisx x thisy y public X getX return x public Y getY return y public static void mainString args Grab number N to be factored long n Grab the factor base long factorbase take from command line if no factobase is given assume 1000 ifargslength 1 n LongparseLongargs0 factorbase 1000 else ifargslength 2 n LongparseLongargs0 factorbase LongparseLongargs1 else take from scanner else Scanner input new ScannerSystemin SystemoutprintlnEnter an N n inputnextLong SystemoutprintlnEnter a factorbase factorbase inputnextLong Find R long R longMathsqrtn generate a list of primes up to factorbase ArrayList primes eratosthenesSievefactorbase forint i 0 i primessize i Systemoutprintlnprimesgeti generate a list that satisfies the eqn ArrayList bSmooth findSmoothnessn ArrayList residues calcResidualsprimes bSmooth Refactor and Gauss ArrayList refactoredResidual refactorresidues bSmooth
See Answer
Get Answers to Unlimited Questions
Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!
Membership Benefits:
Unlimited Question Access with detailed Answers
Zin AI - 3 Million Words
10 Dall-E 3 Images
20 Plot Generations
Conversation with Dialogue Memory
No Ads, Ever!
Access to Our Best AI Platform: Zin AI - Your personal assistant for all your inquiries!
