perplexus.info :: Just Math : Maximum Value Muse

Maximum Value Muse (Posted on 2016-01-14)

Each of M and N is a positive integer such that:
P = (N/4)*√((2M – N)/(2M + N)) is a prime number.

Determine the maximum possible value of P and prove that no higher value of P is possible.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

The maximum value of P is 3, which occurs for M=20, and N=24.
For an explanation, refer to the respective analytical solutions submitted by:
• Brian Smith in this location.
• armando in this location and here.

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

Subject	Author	Date
surprise	armando	2016-03-03 04:46:03
Last tray	armando	2016-03-02 16:40:41
Last tray	armando	2016-03-02 16:40:40
re(2): A better try	armando	2016-03-02 05:13:27
re: A better try	Brian Smith	2016-03-02 00:14:27
A better try	armando	2016-03-01 16:41:56
Solution tried	armando	2016-01-19 16:40:48
re: Square Thoughts	broll	2016-01-15 10:13:36
Square Thoughts	Brian Smith	2016-01-15 09:46:53
Hmmm.	broll	2016-01-14 23:09:18

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