perplexus.info :: Numbers : Prime Crossed Square Poser

Prime Crossed Square Poser (Posted on 2022-12-12)

Determine all possible values of a prime number P such that P³-4P+9 is a perfect square.

Note: Computer program aided solutions are welcome, but a semi-analytic solution is preferred.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

P = 2, 7, and 11 are the only possible solutions.
For an explanation, refer to:

The solution submitted by Paul in this location.
The solution submitted by Brian Smith in this location.

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

Subject	Author	Date
Solution a different way	Paul	2022-12-12 15:31:33
Solution	Brian Smith	2022-12-12 10:42:21
Almost a proof	Larry	2022-12-12 10:14:19

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