perplexus.info :: Sequences : Repunit Crossed Fifth Power Decision

Repunit Crossed Fifth Power Decision (Posted on 2023-03-23)

Consider this infinite sequence which is constituted entirely by repunits:

      11, 111, 1111, 11111, ..........

Does this sequence consist of at least one perfect fifth power?

• If so, provide an example.

• If not, prove that no member of the above mentioned sequence can be a perfect fifth power.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

No member of the above mentioned sequence can be a perfect fifth power.
For an explanation, refer to the solution submitted by Jer in this location.

Comments: ( You must be logged in to post comments.)

	Subject	Author	Date
	Solution	Jer	2023-03-23 14:08:36

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