Примери за използване на Number of primes на Английски и техните преводи на Български
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And the number of primes is about x/ln(x).
Determination of  the number of primes.
Let y= the number of primes less than x.
Investigations of  the number of primes.
Is the number of primes that are not bigger than.
If you compare the prime number  approximation with the actual number of primes.
Let π(n) be the number of primes less than x and let.
One of  his papers in 1895 improved on Riemann 's contour integral formula for the number of primes in a given interval.
Let π(x) be the number of primes less than or equal to x.
The main purpose of  the paper was to give estimates for the number of primes less than a given number. .
(with π(n) the number of primes n) had a limit as n then that limit is 1.
Since and, we see that is in iff it is divisible by an odd number of primes in iff it is represented by.
So the number of primes equals size times density- or x/ln(x).
We can find the density by dividing the number of primes found by the search size.
The number of primes is the area under the density curve for which we can simplify by assuming density is constant.
We know there are an infinite number of primes due to the brilliant mathematician Euclid.
Realize now that we can use this formula for prime  density to estimate the number of primes up to x.
This states that π(x), the number of primes x, tends to x/logex as x tends to infinity.
Positive integer will be called white, if it is equal to oris a product of  even number of primes(not necessarily distinct).
If we make a table, we see the number of primes is always increasing. Though as we search further, we find fewer and fewer.
Mr. Littlewood has calculated a number  and it shows that your theorem will sometimes predict less, not more, than the actual number of primes.
It was 1885 that Meissel published his work on the number of primes less than 109 so the two had much to discuss on the topic.
In the same year Hadamard received the Grand Prix des Sciences Mathé matique for his paper Determination of  the number of primes less than a given number. .
For example, let's say we need to know the number of primes less than 100 trillion. 100 trillion divided by the natural log of  100 trillion= 3.1 trillion.
The latter year was particulary significant for Hadamard: he was awarded the Grand Prix des Sciences Mathématiques for his paper“Determination of  the Number of Primes Less than a Given Number, .
Chebyshev's work on prime numbers  included the determination of  the number of primes not exceeding a given number,  published in 1848, and a proof of  Bertrand 's conjecture.
He worked on prime numbers and found, in the 1870s, a method for computing individual values of  π(x), the counting function for the number of primes less than or equal to x.
A newly elected member of  the Berlin Academy of  Sciences had to report on their most recent research andRiemann sent a report on On the number of primes less than a given magnitude another of  his great masterpieces which were to change the direction of  mathematical research in a most significant way.
A 1785 paper on number  theory contains a number of  important results, such as the law of  quadratic reciprocity for residues, andthe results that every arithmetic series with the first term coprime to the common difference contains an infinite number of primes.
Euclid states the result as"there are more than any given[finite] number of primes", and his proof is essentially the following.