This is not an easy question to answer, but you are correct that primes become less dense as you look at larger numbers.
One way I intuitively think of this is, take a number like 10, and compare it to one like
500000000, the smaller number certainly has fewer potential factors than the larger one.
In other words, as the numbers get larger, many of them will have many more possible factors.
Some will still have only 1 and themselves, or perhaps 3 or 4 factors, but in general, there are more factors. This is NOT a mathematical argument, just a way to think about the idea.
As numbers get larger, it is more likely that they will be multiples of something.
There are 25 prime numbers less than 100
There are 46 prime numbers less than 200.
The prime numbers less then 86 are; 2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79 and 83.
They are 239 prime numbers less than 1500.
As numbers get larger, it is more likely that they will be multiples of something.
Yes, but they become less frequent the higher you go.
There are 35 prime numbers less than 150.
There are 25 prime numbers less than 100
There are 46 prime numbers less than 200.
The prime numbers less then 86 are; 2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79 and 83.
There are no negative prime numbers.
There are 48 prime numbers less than 220.
There are 27 prime numbers less than 102.
There are 15 prime numbers less than 50
They are 239 prime numbers less than 1500.
A prime number is a number that has exactly two factors: 1 and itself. All whole numbers greater than 1 are either prime numbers or can be written as the product of prime numbers. There are an infinite number of prime numbers, but they occur less frequently among larger numbers. Prime numbers are important in cryptography and number theory.Read more: http://wiki.answers.com/Q/FAQ/7008#ixzz1LVq5EURw