No.
All primes are integers, but all integers are not prime.
False
No.
False
The statement is false.
False.
false
There are some patterns, but none that can help you determine, in all cases, whether the number is a prime or not.For example: * All primes except 2 are odd numbers. However, not all odd numbers are primes. * All primes greater than 3 are of the form 6n - 1, or 6n + 1. However, not all numbers of this form are primes.
Nobody invented them. Some prime numbers were found to be next-but-one to one another, and these were called twin primes.
Nobody made them. They are a property of some integers.
There is no known prime formula to identify all primes. There are some formulae that work only for some classes of primes. Mathematicians have
The larger the numbers get, the more prime numbers can appear as factors. In that case, the "probability" of having smaller factors increases for larger numbers. In fact, there is a very important and interesting theorem known as the prime number theorem. It deals with the chances that if you pick a number at random, how likely is it to be prime. One implication of the theorem is that the number of primes decreases asymptotically as the numbers get very large. Here are some data to help you see how dramatic the decreased density of primes is: There are 4 primes among the first 10 integers; 25 among the first 100; 168 among the first 1,000; 1,229 among the first 10,000, and 9,592 among the first 100,000.