Hello! Any of you like doing HARD brain teasers and math? Here, Hops can post challenges and have other Hops solve it! Hope you all enjoy!
What is the problem?
1) Find the sum of all prime numbers that are less than 100 and contain a digit of 5.
Due in a day! Good luck!
That was easy XD
NindroidGames was a little TOO fast! He's the winner! He can get a request. I'll get a harder one.
What number is the question mark?!
The number six
Magic square time
Ok, I'm a gonna join (this is a good one)
Editing answer in..
The Answer.. Don't Peek
Since the only one prime ends in a 5, which is 5, there are no other primes less than 100, except for the ones from 50 - 59. 53 and 59 happen to be prime.
So.. 53 + 59 + 5 = 117
And 117 is the answer!
Ooh! I've got a question!
What is the summation of the reversal of all square numbers?
This is what you'll need to do
Ex) 1/1 + 1/4 + 1/9 + 1/16 + 1/25...
Is there an easy way to write this??
Hint: No, it does not diverge to infinity
Give a proof to why the summation of the reversal of every number does diverge to infinity:
Ex) 1/1 + 1/2 + 1/3 + 1/4 + 1/5..
Why does it go to infinity?
Aren't there endless square numbers?
Maybe it approaches something?
Edit: oh whoops I was browsing through the Numberphile topic then saw @JonnyGamer posted the answer I wouldn't have found that though, although can still try .
This is a great topic too!
Oh, lol, whoops. I should probably put all the answers to problems in details form now on
Oh, no it's fine! I think you can just discuss anyway.
More math fun! Here's a new challenging Geometry/Trig problem!
The circle is inscribed inside an equilateral triangle that has a side length of one. Find the blue shaded area:
I'm using this for a new constant I'm going to invent!
Yes, my iPad battery is at 11% right now, I should probably charge
Hint! Might be needed..
The height of the circle is 2/3 of the height of the triangle. This helps.
Also, copy this on scratch paper. You're gonna be using a lot of pi and square roots
Ooh thanks for sharing this
Hmm okay I started before you put up the hint, I got something like
(3√3 - π)/36 but I'm going to check over things...
All you need to check is to multiply the answer by 3, and add the area of the circle. Hopefully that will add up to the area of the entire triangle
Yeah, I created this in the morning and the answer was over 12 instead of yours, so I thought I had messed up at the beginning and got super frustrated I was second guessing myself a lot when I was trying to find the height of the triangle, since I wasn't allow to use my iPad at the time. I realized I should've cut the triangle in half to use the 30-60-90 theorem..
(I'm having a friend of mine do the problem at the same time as you, so if they're both the same, most likely the answer will be right)
Also, I'll attach an image:
I'm gonna find the empty space of the triangle not taken up my the circles to create a mathematical constant. There's probably a function or summation used to find it, though
Ooh okay mathematical investigation! ️♀️️
That's a great way to check! – would not have thought about that.