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Problem7.m
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54
Problem7.m
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%ProjectEuler/Octave/Problem7.m
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%Matthew Ellison
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% Created:
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%Modified: 03-28-19
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%What is the 10001th prime number?
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%{
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Copyright (C) 2019 Matthew Ellison
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This program is free software: you can redistribute it and/or modify
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it under the terms of the GNU Lesser General Public License as published by
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the Free Software Foundation, either version 3 of the License, or
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(at your option) any later version.
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This program is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU Lesser General Public License for more details.
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You should have received a copy of the GNU Lesser General Public License
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along with this program. If not, see <https://www.gnu.org/licenses/>.
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%}
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%Setup the variables
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counter = 1000;
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primeList = [];
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%Start the timer
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startTime = clock();
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%Cycle through the prime numbers until you get the correct number
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while(size(primeList)(2) < 10001)
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primeList = primes(counter);
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counter += 1000;
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end
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%Stop the timer
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endTime = clock();
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%Print the results
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printf("The 10001st prime number is %d\n", primeList(10001))
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printf("It took %f seconds to run this algorithm\n", etime(endTime, startTime))
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%Cleanup the variables
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clear counter;
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clear primeList;
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clear startTime;
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clear endTime;
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%{
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Results:
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The 10001st prime number is 104743
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It took 0.107124 seconds to run this algorithm
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%}
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