Chebyshev formula

To estimate the number of primes less than x is used Chebyshev formula:

 Pi(x) = 1.11  frac{x}{ ln   x } $    $

Estimate the number of primes less than 30300537.


n =  1952414


Solution in text n =

Leave us a comment of example and its solution (i.e. if it is still somewhat unclear...):

Showing 0 comments:
1st comment
Be the first to comment!

To solve this example are needed these knowledge from mathematics:

Next similar examples:

  1. Unknown number
    unknown Unknown number is divisible by exactly three different primes. When we compare these primes in ascending order, the following applies: • Difference first and second prime number is half the difference between the third and second prime numbers. • The produ
  2. Combinations
    circles How many different combinations of two-digit number divisible by 4 arises from the digits 3, 5 and 7?
  3. Numbers
    primes Write smallest three-digit number, which in division 5 and 7 gives the rest 2.
  4. Amazing number
    numbers4 An amazing number is name for such even number, the decomposition product of prime numbers has exactly three not necessarily different factors and the sum of all its divisors is equal to twice that number. Find all amazing numbers.
  5. Logarithm
    log_hat Determine the number whose decimal logarithm is -3.8.
  6. Theorem prove
    thales_1 We want to prove the sentense: If the natural number n is divisible by six, then n is divisible by three. From what assumption we started?
  7. Fish tank
    zebra_fish A fish tank at a pet store has 8 zebra fish. In how many different ways can George choose 2 zebra fish to buy?
  8. The confectionery
    ice_cream The confectionery sold 5 kinds of ice cream. In how many ways can I buy 3 kinds if order of ice creams does not matter?
  9. Biketrial
    cyklo Kamil was biketrial. Before hill he set the forward gear with 42 teeth and the back with 35 teeth. After how many exercises (rotation) of the front wheel both wheels reach the same position?
  10. Log
    exp_log Calculate value of expression log |3 +7i +5i2| .
  11. Intercept with axis
    log_10 F(x)=log(x+4)-2, what is the x intercept
  12. Exponential equation
    exp In the set R solve the equation: ?
  13. Roots
    parabola Determine the quadratic equation absolute coefficient q, that the equation has a real double root and the root x calculate: ?
  14. Equation
    calculator_2 Equation ? has one root x1 = 8. Determine the coefficient b and the second root x2.
  15. Sequence 3
    75 Write the first 5 members of an arithmetic sequence: a4=-35, a11=-105.
  16. Linsys2
    linear_eq_3 Solve two equations with two unknowns: 400x+120y=147.2 350x+200y=144
  17. Calculation
    pocty How much is sum of square root of six and the square root of 225?