Added 3byte prime numbers
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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN" "http://www.w3.org/TR/html4/loose.dtd">
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<html>
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<head>
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<title>The complete list of primes.</title>
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<meta http-equiv="Content-Type" content="text/html; charset=iso-8859-1">
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<meta name="author" content="Luis Silvestre">
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<link rel="stylesheet" type="text/css" href="calculate-primes.html.css">
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<!--
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It is javascipt. What else were you expecting?
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Author: Luis Silvestre
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-->
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<script type="text/javascript">
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function isPrime(_n)
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{
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var _isPrime=true;
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var _sqrt=Math.sqrt(_n);
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for(var _i=2;_i<=_sqrt;_i++)
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if((_n%_i)==0) _isPrime=false;
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return _isPrime;
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}
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function li(_o)
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{
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var _n=i + 100;
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var what="";
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for(;i<_n;++i){
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if(isPrime(i)){
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what += i.toString()+"; ";
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}
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}
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document.getElementById("texto").firstChild.nodeValue = what;
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//appendChild(mytext);
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}
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</script>
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</head>
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<body>
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<div class="orangebox">
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<p> In this website we list <b> all </b> prime numbers. Every single one of them. <a href="javascript:li()"> Next page. </a></p>
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</div>
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<div id="texto" class="whitebox" style="height:100000px; border:0px;">
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If you can read this, that means that your browser has javascript off and this page is not working.
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</div> <br />
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<script type="text/javascript">
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i =4294967200;
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li();
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</script>
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<div class="orangebox"> <a href="javascript:li()"> Next page. </a> </div>
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</body>
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</html>
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body {
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font:100% Sans-Serif,Helvetica,Verdana,Tahoma;
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background-color:#DDDDDD;
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/*background-image: url('icons/background2.png');
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background-repeat: repeat*/
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}
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/*<-- background-image:
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url('icons/background.png');
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background-repeat: repeat -->*/
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h2 {font-size:2.5em}
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a {text-decoration:none; color:#003030; font-weight:bold}
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a:hover {color:purple; font-weight:bold}
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img {border: none; vertical-align:middle}
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p {vertical-align:middle}
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#mainbox {border-width:0px; margin:2px; text-align:left; min-height:413px; padding-left:15px;background-color:white;}
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.header {height:50px; font-weight:bold; font-size: 200%; vertical-align:middle;}
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#additionaltools {float:right; border-style:dotted; padding:1px;background-color:white; width:260px;}
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#membrete {position: absolute; top: 10px; left:500px}
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.photo {float:right;}
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.fakelink {color:teal; font-weight:bold}
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.description {padding-left: 40pt;}
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.orangebox {border-width:0px; background-color: #FFEECC; margin:15px; padding: 5px; text-align:left;}
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.MathTeX {display:none; background-color: #FFEECC;}
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.whitebox {
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font:100% Sans-Serif,Helvetica,Verdana,Tahoma;
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border-width:0px;
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background-color: white;
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margin:15px;
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padding: 5px;
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text-align:left;
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}
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/* Title Bar - stolen from somewhere
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===================================== */
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h1
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{
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margin: 0;
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background-color: #333333;
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}
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h1 a
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{
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display: block;
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padding: 30px 20px;
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border-top: 1px solid #9e2121;
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border-bottom: 1px solid #4a0404;
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text-align: center;
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/* These are all various ways of setting the background color, */
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/* designed so that at least one will work on any browser */
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background-color: #7d0101;
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background: -moz-linear-gradient(top, #7d0101 0%, #651110 100%);
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background: -webkit-gradient(linear, left top, left bottom, color-stop(0%, #7d0101), color-stop(100%, #651110));
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background: -webkit-linear-gradient(top, #7d0101 0%, #651110 100%);
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background: -o-linear-gradient(top, #7d0101 0%, #651110 100%);
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background: -ms-linear-gradient(top, #7d0101 0%, #651110 100%);
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background: linear-gradient(top, #7d0101 0%, #651110 100%);
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}
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h1 a, h1 a:hover
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{
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color: #ffffff;
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text-decoration: none;
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}
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#title-left
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{
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padding: 11px 0;
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}
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#title-right img
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{
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height: auto;
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width: auto;
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vertical-align: middle;
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}
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import numpy as np
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import time
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import os
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def clear_terminal():
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"""Clear the terminal screen."""
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os.system('cls' if os.name == 'nt' else 'clear')
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def sieve_of_eratosthenes(limit):
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"""Sieve of Eratosthenes to find all primes up to 'limit'."""
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sieve = np.ones(limit // 3 + (limit % 6 == 2), dtype=bool)
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sieve[0] = sieve[1] = False # 0 and 1 are not prime
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# Iterate only for numbers that are prime
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for i in range(1, int(limit**0.5) // 3 + 1):
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if sieve[i]:
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prime = 3 * i + 1
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sieve[3 * i + prime::prime * 3] = False
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primes = [2, 3]
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for i in range(1, len(sieve)):
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if sieve[i]:
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primes.append(3 * i + 1)
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return primes
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def write_prime_to_file(prime, filename):
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"""Write the hexadecimal and decimal representation of a prime number to the file."""
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hex_prime = f"{prime:08X}" # Convert to hex with leading zeros (8 digits)
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with open(filename, 'a') as f: # Open in append mode
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f.write(f"{hex_prime} {prime}\n")
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def main():
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limit = 4294967295
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filename = 'primes.txt'
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# Start the sieve calculation and time it
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start_time = time.time()
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total_primes = 0
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for prime in sieve_of_eratosthenes(limit):
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total_primes += 1
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write_prime_to_file(prime, filename)
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# Clear the terminal and update information
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clear_terminal()
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elapsed_time = time.time() - start_time
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estimated_time_left = (elapsed_time / total_primes) * (len(primes) - total_primes) if total_primes > 0 else 0
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# Print the last prime, elapsed time, estimated time left, and total primes found
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print(f"Last Prime Found: {prime}")
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print(f"Total Primes Found: {total_primes}")
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print(f"Elapsed Time: {elapsed_time:.2f} seconds")
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print(f"Estimated Time Left: {estimated_time_left:.2f} seconds")
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# Print final completion message
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print(f"Finished calculating primes up to {limit}.")
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print(f"Total Primes Found: {total_primes}")
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print(f"Total Elapsed Time: {elapsed_time:.2f} seconds")
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if __name__ == "__main__":
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main()
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@ -0,0 +1,32 @@
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#!/bin/bash
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maxint=9223372036854775807
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root=3037000499
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destination=4294967295
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rm -f prime.list
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SECONDS=0
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n=0
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echo "Counting number of primes..."
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size=$(cat source.list | wc -l)
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echo "00000001 1" >> prime.list
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while read -r prime; do
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hex=$(printf "%08X" "${prime:0:-1}")
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echo "$hex $prime" >> prime.list
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if [[ $((n%100)) == 0 ]]; then
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clear
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rate=$((SECONDS*1000000/(n+1)))
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estsec=$((rate*size/1000000))
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remsec=$((estsec-SECONDS))
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echo "Running Time: $((SECONDS/86400)) days, $(((SECONDS%86400)/3600)) hours, $(((SECONDS%3600)/60)) minutes and $(((SECONDS%60))) seconds..."
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echo "Remaining Time: $((remsec/86400)) days, $(((remsec%86400)/3600)) hours, $(((remsec%3600)/60)) minutes and $(((remsec%60))) seconds..."
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echo "Processed $n of $size PRIME numbers at an average rate of $((n/(SECONDS+1))) per second..."
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echo "Latest Prime Number: $prime"
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echo "Destination Number: $destination [$((n*100/size)) %]"
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fi
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((n++))
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done < source.list
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