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The reason why prime numbers are important practically is because of cryptography.
Prime numbers are an essential part of what is called 'public-key cryptography'.
In this technique two (massively massively large) prime numbers are multiplied together to generate a public key. Meanwhile the identity of exactly which two prime numbers are involved is kept secret (this is the private key).
In the system you can use the public key to encode data and send it to me. But only I can decode that data because only I know the private key.
This only works if prime numbers are involved. Otherwise a third party could come along and just start working out all the divisors of my public key and eventually crack which two (non-prime) numbers are the private key.
When prime numbers are used, the third party can still try this method (called a brute force attack) but would have to try loads more numbers (because my public key only has two divisors - the two prime numbers - which by definition have no divisors of their own). This means that it would take a long time and wouldn't really be worth it.
This technique forms the basis of most encryption over the internet (such as https). A website can send out its public key. The web page can then encode data and send it back to the website but it still can't be deciphered without the private key (even if the public key itself was intercepted).
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Why are numbers so important in Science?
it helps people answer scientific questions.
Why do you think that it is important to label your figures with the same letters?
so that you know the numbers are the same.
What is the most important thing about math and numbers?
There are certain rules, relationships and formulas that apply and must be understood so that you can use math and numbers to your advantage.
Are real numbers important and why?
Yes. Hopefully you will encounter numbers sometime in your life, in which you should be able to answer why they are important.
Number theory is the queen of mathematics?
This is told by Carl F. Gauss: "Mathematics is the queen of the sciences and number theory is the queen of mathematics." There are different types of numbers: prime numbers, composite numbers, real numbers, rational numbers, irrational numbers and so on. This study of numbers is included within the concept of maths and numbers and it is very important a study. Therefor number theory holds a greater importance too.
What is the general formula that guides all prime numbers?
There is no general formula and, in some respects, that is what makes prime numbers so important and interesting to mathematicians.There is no general formula and, in some respects, that is what makes prime numbers so important and interesting to mathematicians.There is no general formula and, in some respects, that is what makes prime numbers so important and interesting to mathematicians.There is no general formula and, in some respects, that is what makes prime numbers so important and interesting to mathematicians.
Why are numbers so important in Science?
it helps people answer scientific questions.
Are Numbers Important?
Numbers are extremely important.
Why do you think that it is important to label your figures with the same letters?
so that you know the numbers are the same.
Why are Fibonacci numbers so special?
Fibonacci numbers are important in art and music. The ratio between successive Fibonacci numbers approximates an important constant called "the golden mean" or sometimes phi, which is approximately 1.61803.
Why is multiplying a 2 digit number so important?
Multiplication in general is important; not just 2-digit numbers.
Why peacetime draft important?
To keep the numbers up, so when the time comes to deploy..they can deploy.
What is the most important thing about math and numbers?
There are certain rules, relationships and formulas that apply and must be understood so that you can use math and numbers to your advantage.
What was significant about d- day and why was it so important?
The significance was large numbers of Allied troops back in Europe. This was important to fight the Germans on the land.
Why do you need to line up the decimal points before comparing and ordering numbers with decimals?
This answer is irrelevant because you did not explain yourself, the correct answer is,"Its important so you can separate whole numbers for parts of whole numbers."
Why are tigers so important to us?
for we Indians tiger is the national animal. I want them to be well protected so they can be find in good numbers.
Why is important the zero?
do you mean why is zero so important well this is why. zero is betwin one so the zero gets started with because its zero one two three. and it can also make lower numbers. zero is the king of the small numbers the small numbers are -one -two -three. and it makes the big ones. zero one two three. its very easy to know why its an important number.
