Problem 2674. Generalised Hamming Number

Created by Jean-Marie Sainthillier

Solve Later

Inspired by Project Euler n°204 and Problem 1308 by James

A generalised Hamming number of type n, has no prime factor larger than n.

For example a generalised Hamming number of type 5 has no prime factor larger than 5.

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.

Solve

Solution Stats

1183 Solutions
351 Solvers

Last Solution submitted on Nov 16, 2025

Last 200 Solutions

Problem Comments

5 Comments

5 Comments

Show 2 older 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.

Nguyen Minh Dat on 13 Aug 2021

why i can't submit my solutions

Hoang Minh Tri 24 minutes ago

thuật toán sinh số nhé các em yêu khóa sau nếu chẳng may gặp thầy Hiệp

Solution Comments

Show comments

Problem Recent Solvers351

Problem Tags

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

Solution Comments

Problem Recent Solvers351

Suggested Problems

More from this Author43

Problem Tags

Community Treasure Hunt

Problem 2674. Generalised Hamming Number

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers351

Suggested Problems

More from this Author43

Problem Tags

Community Treasure Hunt

Players