Hi!

It has been a long time since I posted.

Lets begin with something fun...

Hm....Aha! I know...

Watch and Learn

Hope that you have enjoyed this post and the previous "Maths Genius" posts, as this will most likely be the last of this type of post

How many primes are there?

Did you ever wonder before how many prime numbers are there? Well, if you had, good for you because you will get to know the answer. If you havn't, it is also good for you as you will get to learn something new!

Firstly, if you want to find out if a number is a prime, you will have to square the number, then find out if that number is divisible be all the primes below the result.
So, in order for a number to be not prime, it will have to be divisible by at least a prime.
Also note that a number have no common factors with the number 1 lesser or more than itself.
eg. (X+1) have no common factors with ( X ).

Lets go to the extreme, when all the prime numbers are multiplied together.
Let prime be P (P1= first prime number, P2= second prime number and so on).
P1 x P2 x P3 x ........ x Pn= T
Since T cannot have any common factors with (T+1), so (T+1) is not divisible by any prime number. Hence, (T+1) is a prime number!

Therefore the conclusion is that there are infinitely numbers of primes as there are infinitely possible solutions for T!

Maths Question

Let X and Y be 2 numbers that are greater than 0.

X=Y
X^2=XY
X^2-Y^2=XY-Y^2
(X^2-Y^2)/(X-Y)=(XY-Y^2)/(X-Y)
X+Y=Y
2Y=Y
2=1???

Did you know?

Did you know that if a prime number is P, and a random number is A, then (A^P-A) is divisible by P?
This equation is named Fermat's Little Theorem.

Did you also know that there is a "bigger" one named Wilson's Theorem, where [(P-1)!+1] is divisible by P?
Wilson's theorem is bigger is a sense that if P gets too big, it would be quite difficult to calculate.

Did you know?

Did you know that there are other fomulas to finding the area of a triangle, than "length x breath / 2"?

Maths Question

What is the 2009 number after the decimal point of pi?

The Maths "Genius"

Maths Question

If a boy standing 50cm away from you looks 1.5m tall, how tall will a boy standing 5m away look?

Maths Question

Let n be 1.

(n-1)-n=(n-1)-1
((n-1)-n)^2=(n-1)^2-1
(n+1)(n-1)-n^2=(n+1)(n-1)-1
(n+1)(n-1)=(n+1)(n-1)-(1+n^2)
(n+1)=(n+1)-(1+n^2)
(1+1)=(1+1)-(1+1^2)
2=2-(1+1)
2=2-2
2=0?

There are more than 2 errors in this question.
Can you spot them?

Maths Question

What is 2009 in hexidecimal?

( Hint: You can use the same method as the one used to find binary numbers, just change the power of 2 to power of "hexi")

Maths Question

What is 1234567890 in binary?

(Hint: You can find the answer by,
1. Finding out the powers of 2 that make up the number in the question.
eg 1. 10=2^3+2^1 so, 10 in binary is 1010.
eg 2. 20=2^4+2^2 so, 20 in binary is 10100.
note that the sign ^ means (to the power of)

or

2. You could simply use a scientific calculator to find the answer.)

Maths Question

There are 2009 lighted light bulbs in a role. Every day, Mr Do will turn off all the odd numbered lighted light bulbs.
a) If Mr Do started this proccess on a Monday, on which day would he stop this proccess?
b) How many bulbs from the left is the last bulb to be switched off?

The Maths "Genius"

Maths Question

What is the last 2 digits of the product of 69 to the power of 12345678910?

Maths Question

I have a padlock with 12 buttons, and the code can be a 1-12 digit number.
How many types of combinations must you try out before hacking the code?

Palindrome

A racecar is a racecar while a racecar is a racecar, and a racecar is also a racecar because a racecar is a racecar when a racecar is spelt backwards, so a racecar is a racecar and a racecar.
Hi readers did you realise something about words like racecar, mom, dad? Well, those words are palindrones. I am sure you are able too raftly figure out what a palindrome is from reading the above, and finding a similarity between the words racecar, mom and dad. Numbers can also be palindromes.

Do you know anymore of such interesting words? Please share.

Math Question 2

Here is the next question. It is rather simple too.

How many 4 letters word can you form with the word TERENCE? ( It may not nessarily be a real word.)

Please leave your answers as a comment.

1st Maths Question

Today, our maths teacher suggested to us the idea of posting maths questions on our blogs. My first question would be a simple one.
Here it is.

What is the fomula for a+(a+1)+(a+2)+...+(n-2)+(n-1)+n?

Intro

Hi there readers, please leave your comments after enjoying my blog. All of my next few post will also be posted in the same day, as I am shifting them from my other blog. You can also visit my other blog at www.terencenyy1a2.blogspot.com.
Don't forget to comment =)