perplexus.info :: Just Math : Fifth power factor

Fifth power factor (Posted on 2012-08-22)

Let n be a positive integer > 1, such that n⁵+5 and (n+1) ⁵+5 have a positive common factor, m. Find the possible values of m.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

m= 1, 1,968,751 are the only possible values that satisfy the given conditions.
For an explanation, refer to the solution submitted by Charlie and Brian Smith here and here.

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

Subject	Author	Date
Potential solution	Brian Smith	2019-11-29 10:59:35
re: computer exploration	broll	2012-08-23 01:39:47
computer exploration	Charlie	2012-08-22 15:42:14
Some thoughts	broll	2012-08-22 12:41:47

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