All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info
Home > Digest
Recently posted problems (14 days):
Show Digest for last: 2 Days | 3 Days | 5 Days | 1 Week | 2 Weeks
Five identical regular hexagons are inscribed without overlap inside a regular hexagon of side length 1.The sides of length s of the five identical hexagons is the largest possible. Find s.
(No Solution Yet, 0 Comments) Submitted on 2020-04-03 by Danish Ahmed Khan    

I am a 370 17250.

To find out what it means, solve :


(No Solution Yet, 1 Comments) Submitted on 2020-04-01 by Ady TZIDON    




(No Solution Yet, 1 Comments) Submitted on 2020-03-30 by Ady TZIDON    

Here is pi to 37 decimal places.


It turns out that 31415926535897932384626433832795028841 is prime, but you would need a computer to figure that out. Here is e to 37 decimal places.


The largest prime number that is a substring of these digits is 828182845904523536028747135266249. Of course, that would be hard to find without a computer. However, if I showed you the first 37 digits after the decimal point of (sqrt(3)-1)^(sqrt(2)-1), then you could easily find the largest prime number in those digits. You could do it in your head. How? What is the largest prime substring of the first 37 digits of (sqrt(3)-1)^(sqrt(2)-1)?
(No Solution Yet, 1 Comments) Submitted on 2020-03-30 by Math Man    

Using three colors, can one color every point in 3D-space, so there is no cuboid with same-colored corners?
(No Solution Yet, 0 Comments) Submitted on 2020-03-27 by JLo    

Difficulty: 4 of 5 Division by e (in Just Math) Rating: 5.00
Let [x] denote the closest integer to x.

Find the last 5 digits of [100000!/e]
(No Solution Yet, 7 Comments) Submitted on 2020-03-25 by Danish Ahmed Khan    

For some real-valued functions, the graph has a center of symmetry. For example, for cubic polynomials, this is the inflection point.

We call a function super symmetric, when it is defined for all real numbers and its graph has more than one center of symmetry. Sine and Cosine are examples.

Show that every super symmetric function is the sum of a linear function and a periodic function.

(No Solution Yet, 0 Comments) Submitted on 2020-03-23 by JLo    

Please log in:
Remember me:
Sign up! | Forgot password

Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (5)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Copyright © 2002 - 2020 by Animus Pactum Consulting. All rights reserved. Privacy Information