Problem 2674. Generalised Hamming Number

Created by Jean-Marie Sainthillier

Solve Later

{"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","relationshipId":"rId1","target":"/matlab/document.xml"},{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/output","relationshipId":"rId2","target":"/matlab/output.xml"}],"parts":[{"partUri":"/matlab/document.xml","relationship":[],"contentType":"application/vnd.mathworks.matlab.code.document+xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\"?><w:document xmlns:w=\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\"><w:body><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Inspired by Project Euler n°204 and Problem 1308 by James</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>A generalised Hamming number of type n, has no prime factor larger than n.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>For example a generalised Hamming number of type 5 has no prime factor larger than 5.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>Given a number X, determine how many generalised Hamming numbers n are less than or equal to that number. Please note that 1 counts as a Hamming number.</w:t></w:r></w:p></w:body></w:document>"},{"partUri":"/matlab/output.xml","contentType":"text/xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\" ?><embeddedOutputs><metaData><evaluationState>manual</evaluationState><layoutState>code</layoutState><outputStatus>ready</outputStatus></metaData><outputArray type=\"array\"/><regionArray type=\"array\"/></embeddedOutputs>"}]}

Solve

Solution Stats

500 Solutions
124 Solvers

Last Solution submitted on May 11, 2021

Last 200 Solutions

Problem Comments

3 Comments

3 Comments

Jonathan on 20 Nov 2014

I like your test suite. Using large X forces a better solution.

Jean-Marie Sainthillier on 20 Nov 2014

Thank you Jonathan. I have discovered this philosophy thanks to James and @bmtran problems.

Asif Newaz on 25 Dec 2019

is there any mathematical algorithm that i dont know about to calculate such big range(10^13)?
i minimized my code as best as i can.still fails for such large number.

Problem Recent Solvers124

Problem Tags

hamming

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Problem 2674. Generalised Hamming Number

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers124

Suggested Problems

More from this Author43

Problem Tags

Community Treasure Hunt

Problem 2674. Generalised Hamming Number

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers124

Suggested Problems

More from this Author43

Problem Tags

Community Treasure Hunt

Players