# Unknown number

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 product of the difference the second with the first primes

and difference the third and the second prime number is a multiple of 17.

Determine the smallest number that has all the above properties.

• Difference first and second prime number is half the difference between the third and second prime numbers.

• The product of the difference the second with the first primes

and difference the third and the second prime number is a multiple of 17.

Determine the smallest number that has all the above properties.

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

**Showing 0 comments:**

**Be the first to comment!**

#### To solve this example are needed these knowledge from mathematics:

## Next similar examples:

- Divisors

The sum of all divisors unknown odd number is 2112. Determine sum of all divisors of number which is twice of unknown numbers. - Theorem prove

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? - Combinations

How many different combinations of two-digit number divisible by 4 arises from the digits 3, 5 and 7? - Amazing number

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. - Numbers

Write smallest three-digit number, which in division 5 and 7 gives the rest 2. - Chebyshev formula

To estimate the number of primes less than x is used Chebyshev formula: ? Estimate the number of primes less than 30300537. - Chords

How many 4-tones chords (chord = at the same time sounding different tones) is possible to play within 7 tones? - Sum of two primes

Christian Goldbach, a mathematician, found out that every even number greater than 2 can be expressed as a sum of two prime numbers. Write or express 2018 as a sum of two prime numbers. - Examination

The class is 21 students. How many ways can choose two to examination? - Teams

How many ways can divide 16 players into two teams of 8 member? - Average

If the average(arithmetic mean) of three numbers x,y,z is 50. What is the average of there numbers (3x +10), (3y +10), (3z+10) ? - PIN - codes

How many five-digit PIN - code can we create using the even numbers? - Candies

In the box are 12 candies that look the same. Three of them are filled with nougat, five by nuts, four by cream. At least how many candies must Ivan choose to satisfy itself that the selection of two with the same filling? ? - Repair company

The company repairs cars. The first day repair half of the contract second day, the half of the rest and third day 8 residue cars. How many total cars company repaired? - AP - simple

Determine the first nine elements of sequence if a10 = -1 and d = 4 - Sequence

Write the first 6 members of these sequence: a_{1}= 5 a_{2}= 7 a_{n+2}= a_{n+1}+2 a_{n} - Elimination method

Solve system of linear equations by elimination method: 5/2x + 3/5y= 4/15 1/2x + 2/5y= 2/15