Problem 2674. Generalised Hamming Number

Created by Jean-Marie Sainthillier

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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.

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338 Solutions
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Last Solution submitted on Nov 18, 2019

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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.

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hamming

Problem 2674. Generalised Hamming Number

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Last 200 Solutions

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Problem Recent Solvers89

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Problem 2674. Generalised Hamming Number

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers89

Suggested Problems

More from this Author45

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