perplexus.info :: Numbers : N^4 and N^2

N^4 and N^2 (Posted on 2023-09-09)

Find as many positive integers, N, not ending in 0, as you can, such that N^2 contains N and N^4 contains N^2.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

Apart from the trivial solution N=1, the valid values are:
N= 5, 25, and 90625.

1 1 1 5 25 625 25 625 390625 90625 8212890625 67451572418212890625
For an explanation, refer to the solution submitted by Larry in this location.

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

	Subject	Author	Date
	Computer solution	Larry	2023-09-09 09:20:53

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