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Sequence starting with 30 (Posted on 2016-07-05) Difficulty: 3 of 5
The prime factors of 30 are {2,3,5}
The sum of the reciprocals is 1/2+1/3+1/5=31/30
The product of the reciprocals is 1/2*1/3*1/5=1/30
The difference of the two is 31/30-1/30=1

There aren't many numbers where the final value of this procedure is a whole number.

Find more.

Other tasks:
Show that they cannot be semi-prime.
Show they must be square-free.

No Solution Yet Submitted by Jer    
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Comments: ( You must be logged in to post comments.)
  Subject Author Date
Some ThoughtsSquare-free (proof)Steve Herman2016-07-05 18:26:14
Some ThoughtsNot semi-prime (proof)Steve Herman2016-07-05 18:13:38
Some Thoughtsprogram; research; programCharlie2016-07-05 14:43:03
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