test
All prime numbers are odd numbers. If one were even, it would be divisible by two and would, therefore, not be prime.
Prime numbers are helpful in cryptography because it is MUCH easier to calculate the product (multiplication) of two prime numbers than to do the reverse process (find the prime factors of a big number). The bigger the prime numbers are, the higher the difference in time between calculating the product, or factoryzing this product back into the two prime numbers. When person A wants to tell B a secret, they could agree on two great prime numbers (in a secret way) and later use the product to communicate. A and B could easely calculate the other's factor because they know their own factor. Anyone else would have to try to factorize the huge prime number without any knowledge which would take, ideally, longer than 4.6 billion years (the age of the Earth). This is a VERY simplified answer and more can be found by googling around.
No, there are no prime numbers that are also square numbers. Prime numbers are only divisible by 1 and themselves, while square numbers have integer square roots. Since the square root of a prime number is not an integer, a prime number cannot be a square number.
2 would be a counterexample to the conjecture that prime numbers are odd. 2 is a prime number but it is the only even prime number.
Prime numbers
Prime numbers.
If you would be so kind as to put spaces between the numbers, we'd be better able to answer.
You seek for prime numbers that are approximately 200 digits big, then multiply them. I don't know details about the algorithms, but I understand that for cryptography, instead of using an algorithm that will be guaranteed to give a prime number, an algorithm is used, instead, that has a very, very high probability of giving a prime number. Probably this is done because it is faster.
All prime numbers are odd numbers. If one were even, it would be divisible by two and would, therefore, not be prime.
Any two prime numbers, of about 200 digits each, would work.Any two prime numbers, of about 200 digits each, would work.Any two prime numbers, of about 200 digits each, would work.Any two prime numbers, of about 200 digits each, would work.
Prime numbers are helpful in cryptography because it is MUCH easier to calculate the product (multiplication) of two prime numbers than to do the reverse process (find the prime factors of a big number). The bigger the prime numbers are, the higher the difference in time between calculating the product, or factoryzing this product back into the two prime numbers. When person A wants to tell B a secret, they could agree on two great prime numbers (in a secret way) and later use the product to communicate. A and B could easely calculate the other's factor because they know their own factor. Anyone else would have to try to factorize the huge prime number without any knowledge which would take, ideally, longer than 4.6 billion years (the age of the Earth). This is a VERY simplified answer and more can be found by googling around.
A number as a product of prime numbers would be "x".
no, because then they would be divisible by the number you multiplied it by.
Average. You'd have a one point lead. Prime numbers are better.
No, there are no prime numbers that are also square numbers. Prime numbers are only divisible by 1 and themselves, while square numbers have integer square roots. Since the square root of a prime number is not an integer, a prime number cannot be a square number.
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).
No. Your opponent would have a 10 point lead. Prime numbers are better to start with.