All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Numbers > Sequences
Smooth Sum Situation (Posted on 2019-01-23) Difficulty: 4 of 5
OIES sequence A002473 is the sequence of 7-smooth numbers: positive numbers whose prime divisors are all less than or equal to 7.

Let S be the infinite summation of all the reciprocals of the members of A002473. Does the sum converge, and if so then what is the sum?

No Solution Yet Submitted by Brian Smith    
Rating: 3.0000 (1 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Some ThoughtsBeyond 7, and a simpler solutionSteve Herman2019-01-23 19:05:49
SolutionAnalytical solution (spoiler)Steve Herman2019-01-23 18:24:29
Some Thoughtscomputer sum; dumb way and smarter wayCharlie2019-01-23 15:42:55
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (3)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2024 by Animus Pactum Consulting. All rights reserved. Privacy Information