perplexus.info :: Sequences : Smooth Sum Situation

Smooth Sum Situation (Posted on 2019-01-23)

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
Beyond 7, and a simpler solution	Steve Herman	2019-01-23 19:05:49
Analytical solution (spoiler)	Steve Herman	2019-01-23 18:24:29
computer sum; dumb way and smarter way	Charlie	2019-01-23 15:42:55

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