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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.
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 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.
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 was Kansas so important to the south?
Kansas was so important to the south since it opened the slavery territory. The south was losing its political détente and needed the numbers to get the Missouri Compromise.
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.
Why do you think that rational numbers are important?
The set of whole numbers is not closed under division by a non-zero whole number. Rational numbers provide that closure and so enable the definition of division of one integer by a non-zero integer.
What number was significant to Bach?
Bach was into numerology, so he used the numbers from his name (2 1 3 8) as motifs in many of his pieces. The addition of these numbers, 14, would also be important to him.
Why is LCM important?
The LCM is used to convert unlike rational fraction to like fractions so that they can be added or subtracted. Any common multiple will do so the LCM is not that important. However, using the LCM will ensure that the numbers that you have to deal with are as small as they can be.
Why is it important to line up decimal numbers by their place value when you add or subtract them?
It isn't really that important, it just makes the problem solving easier and gives you less of a chance of making a mistake.
