Category: General
Top 10 Popular Math Problems in 2016-2017
It’s been a year since I started this math blog!!
More than 500 problems were posted during a year (July 19th 2016-July 19th 2017).
I made a list of the 10 math problems on this blog that have the most views.
Can you solve all of them?
The level of difficulty among the top 10 problems.
【★★★】 Difficult (Final Exam Level)
【★★☆】 Standard(Midterm Exam Level)
【★☆☆】 Easy (Homework Level)
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Even Perfect Numbers and Mersenne Prime Numbers
Problem 496
Prove that if $2^n-1$ is a Mersenne prime number, then
\[N=2^{n-1}(2^n-1)\]
is a perfect number.
On the other hand, prove that every even perfect number $N$ can be written as $N=2^{n-1}(2^n-1)$ for some Mersenne prime number $2^n-1$.
Add to solve laterA One-Line Proof that there are Infinitely Many Prime Numbers
Beautiful Formulas for pi=3.14…
The number $\pi$ is defined a s the ratio of a circle’s circumference $C$ to its diameter $d$:
\[\pi=\frac{C}{d}.\]
$\pi$ in decimal starts with 3.14… and never end.
I will show you several beautiful formulas for $\pi$.
Add to solve laterMathematics About the Number 2017
Happy New Year 2017!!
Here is the list of mathematical facts about the number 2017 that you can brag about to your friends or family as a math geek.
Add to solve later