There are an infinite number of prime numbers. Many of them are large.
In fact ... since there are an infinite number of them, for any number you choose,
no matter how large it is, there are an infinite number of primes that are larger
than your number !
Here are the first 49 prime numbers that are larger than [1 billion] :
1,000,000,007
1,000,000,009
1,000,000,021
1,000,000,033
1,000,000,087
1,000,000,093
1,000,000,097
1,000,000,103
1,000,000,123
1,000,000,181
1,000,000,207
1,000,000,223
1,000,000,241
1,000,000,271
1,000,000,289
1,000,000,297
1,000,000,321
1,000,000,349
1,000,000,363
1,000,000,403
1,000,000,409
1,000,000,411
1,000,000,427
1,000,000,433
1,000,000,439
1,000,000,447
1,000,000,453
1,000,000,459
1,000,000,483
1,000,000,513
1,000,000,531
1,000,000,579
1,000,000,607
1,000,000,613
1,000,000,637
1,000,000,663
1,000,000,711
1,000,000,753
1,000,000,787
1,000,000,801
1,000,000,829
1,000,000,861
1,000,000,871
1,000,000,891
1,000,000,901
1,000,000,919
1,000,000,931
1,000,000,933
1,000,000,993
There is no formula that will specifically give you a prime number and no non-prime number. Therefore, several large numbers are tested to see if they are primes, until a prime number is found.
The same way as with smaller numbers, it may take longer. Just keep dividing by prime numbers until all the factors are prime.
In part because the problem of finding large prime numbers isn't exactly trivial.
Data encryption, used for personal identification numbers (PINs) and for secure communications over the internet are based on very large prime numbers.
97 plus 101 198
Usually, but not necessarily and not if they're prime. All prime numbers have the same number of factors.
There is no formula that will specifically give you a prime number and no non-prime number. Therefore, several large numbers are tested to see if they are primes, until a prime number is found.
91,97 are the two large prime numbers below 100.
The same way as with smaller numbers, it may take longer. Just keep dividing by prime numbers until all the factors are prime.
The same way as with smaller numbers, it may take longer. Just keep dividing by prime numbers until all the factors are prime.
Let p = any prime number. (2p -1) is called a Mersenne number. Any such number that is prime is called a Mersenne Prime. Father Mersenne wrote a list of numbers of this type which he thought were prime, but a few were not. In fact, most of the large Mersenne numbers are not prime, but all the really large numbers that have been proved to be prime are Mersenne Primes.
M. N. Huxley has written: 'The distribution of prime numbers: large sieves and zero-density theorems' -- subject(s): Numbers, Prime, Prime Numbers
Most of the time, but large prime numbers still have only two factors.
In part because the problem of finding large prime numbers isn't exactly trivial.
Data encryption, used for personal identification numbers (PINs) and for secure communications over the internet are based on very large prime numbers.
2 is the smallest prime number. Numbers can't have factors larger than themselves. Zero and one aren't large enough to have prime factors.
This question is based on a misunderstanding. Most cryptography is based on numbers that are products of two very large prime numbers. Being the product of two primes means that these numbers are composite - not prime!