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

332 Solutions
89 Solvers

Last Solution submitted on Nov 06, 2019

Last 200 Solutions

Problem Comments

2 Comments

2 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.

Problem Recent Solvers89

Problem Tags

hamming

Problem 2674. Generalised Hamming Number

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers89

Suggested Problems

More from this Author45

Problem Tags

Problem 2674. Generalised Hamming Number

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers89

Suggested Problems

More from this Author45

Problem Tags

Players