perplexus.info :: Just Math

Home > Just Math

These problems are mostly math-related. That's not to say that they're all straightforward. You'll still need to flex your noggin to figure them out!

Sub-Categories (All Problem Categories)

> Calculus

Latest: Rational number's conversion Rating: 5.00

Show that every positive rational number can be presented as a ratio of powers' sum in the following way:

(a²+b³)/ (c⁵+d⁷)

where a,b,c,d are positive integers, not necessarily distinct.

(No Solution Yet, 4 Comments) Submitted on 2017-06-18 by Ady TZIDON

Page 2 of 115 << prev next >>

A table 4 4 |
Posted on 2017-02-05 by Ady TZIDON (No Solution Yet, 2 Comments)
Ain't she clever? |
Posted on 2017-01-24 by Ady TZIDON (No Solution Yet, 1 Comments)
Non-zero solutions only |
Posted on 2017-01-23 by Ady TZIDON (No Solution Yet, 0 Comments)
Additional values |
Posted on 2017-01-22 by Ady TZIDON (No Solution Yet, 1 Comments)
Powers of x and y | Rating: 4.00
Posted on 2017-01-21 by Ady TZIDON (No Solution Yet, 3 Comments)
When is it a square? |
Posted on 2017-01-15 by Ady TZIDON (Solution Posted, 1 Comments)
Squares sum up to a prime |
Posted on 2017-01-13 by Ady TZIDON (Solution Posted, 4 Comments)
Functional Question |
Posted on 2017-01-10 by Charlie (Solution Posted, 2 Comments)
Proving divisibility |
Posted on 2017-01-08 by Ady TZIDON (No Solution Yet, 2 Comments)
(x−y)^ n = xy |
Posted on 2017-01-07 by Ady TZIDON (No Solution Yet, 2 Comments)
Counting brackets |
Posted on 2017-01-03 by Ady TZIDON (No Solution Yet, 1 Comments)
A set of 3 equations | Rating: 3.50
Posted on 2016-12-31 by Ady TZIDON (No Solution Yet, 1 Comments)
Prime candidates |
Posted on 2016-12-20 by Ady TZIDON (Solution Posted, 5 Comments)
It's all in the stars |
Posted on 2016-12-14 by Ady TZIDON (No Solution Yet, 2 Comments)
Same Real Roots |
Posted on 2016-12-10 by Danish Ahmed Khan (No Solution Yet, 2 Comments)

Please log in:

Login:
Password:
Remember me:

Sign up! \| Forgot password

Search:

Search body:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (3)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info