perplexus.info :: Numbers : Some Prime Fractions sum to Integer Fraction

Some Prime Fractions sum to Integer Fraction (Posted on 2023-06-29)

Each of p and q is a prime number that satisfy this equation:

 p     q+1     2n
--- + ----- = -----
p+1     q      n+2

where n is a positive integer.

Determine all possible value(s) of q-p.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

All possible values of q-p which satisfy the problem constraints are 2, 3, and 5.
For an explanation, refer to the solution submitted by Brian Smith in this location.

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

Subject	Author	Date
No Subject	K Sengupta	2023-07-02 19:59:40
hi	sky medpills	2023-07-02 02:35:07
Solution	Brian Smith	2023-06-29 11:54:24
computer exploration	Charlie	2023-06-29 09:41:25

Please log in:

Login:
Password:
Remember me:

Sign up! \| Forgot password

Search:

Search body:

Forums (1)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (6)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info