hailstone sequence
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enCreate your own mathematical mysteries
http://plus.maths.org/content/surprising-maths-make-your-own-conjecture
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Steve Humble </div>
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<p>One of the most surprising things about mathematics is its many unsolved mysteries. Mathematics is far from "done and dusted", and Steve Humble shows us how we can come up with some mathematical mysteries of our own.</p>
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<p><a href="http://www-history.mcs.st-andrews.ac.uk/Biographies/Euler.html">Leonhard Euler</a> was a Swiss mathematician of the 18th century. His mathematical work was very diverse and he created some beautiful mathematical surprises.<p><a href="http://plus.maths.org/content/surprising-maths-make-your-own-conjecture" target="_blank">read more</a></p>http://plus.maths.org/content/surprising-maths-make-your-own-conjecture#commentsGiuga numbershailstone sequencenumber theoryprime number distributionThu, 10 Feb 2011 17:27:39 +0000Rachel5406 at http://plus.maths.org/contentMore hailstones...
http://plus.maths.org/content/more-hailstones
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<p>Many of our readers have asked for more information about the hailstrone sequence problem from the last issue.</p>
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<div class="pub_date">May 1997</div>
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<p>In the last issue of PASS Maths we presented the hailstone sequence: an unsolved mathematical mystery. Many of our readers have tried out our hailstone sequence generator and others have asked for more information about the problem or simply why it is of interest.</p><p><a href="http://plus.maths.org/content/more-hailstones" target="_blank">read more</a></p>http://plus.maths.org/content/more-hailstones#commentscollatz problemhailstone sequenceSyracuse problemWed, 30 Apr 1997 23:00:00 +0000plusadmin2761 at http://plus.maths.org/contentMathematical mysteries: Hailstone sequences
http://plus.maths.org/content/mathematical-mysteries-hailstone-sequences
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<p>This problem is easy to describe but it is one of mathematics' unsolved problems.</p>
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<div class="pub_date">January 1997</div> <!-- plusimport --> <br clear="all"></br>
<p>This problem is easy to describe but it is one of mathematics' unsolved problems.</p> <p>Starting with any positive integer n, form a sequence in the following way:</p> <ul> <li>If n is even, divide it by 2 to give n' = n/2.</li> <li>If n is odd, multiply it by 3 and add 1 to give n' = 3n + 1.</li> </ul> <p>Then take n' as the new starting number and repeat the process. For example:</p><p><a href="http://plus.maths.org/content/mathematical-mysteries-hailstone-sequences" target="_blank">read more</a></p>http://plus.maths.org/content/mathematical-mysteries-hailstone-sequences#comments13n+1 conjecturehailstone evaluatorhailstone sequenceMathematical mysteriesWed, 01 Jan 1997 00:00:00 +0000plusadmin4742 at http://plus.maths.org/content