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Numerical values of π(x) have been calculated by many people. See this web page for specifics. πk(x) is easy to understand.
The first case is π(x) and is the number of prime numbers less than x. It is called the prime counting function.
For example, π(10) = 4, because there are 4 prime numbers less than 10. Namely, {2,3,5,7}.
The next case is π2(x), the number of twin primes less than x. Then we have k = 3 for prime triplet and so on.
Enjoy the rest of this web page.
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