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题目内容

Quantity A

The number of prime numbers between 50 and 60

Quantity B

The number of prime numbers between 80 and 90
How many prime numbers can be formed when you select two different numbers from 2, 3, 4, 5 as the tens digit and units digit, respectively?
x and y are prime numbers and x+y=18

Quantity A

xy

Quantity B

70
a and b are primes, a+b=12.

Quantity A

b

Quantity B

8
When the product of four prime numbers a, b, c and d is divided by 77, the result is a multiple of 5. When the product of these four prime numbers is divided by 7, the result could be?

Indicate all such numbers.

Quantity A

The number of prime numbers divisible by 13

Quantity B

The number of prime numbers divisible by 2

Quantity A

The number of prime numbers that are divisible by 9

Quantity B

The number of prime numbers that are divisible by 19

Quantity A

The number of positive factors of 97

Quantity B

The number of positive factors of 87
$$p$$ and $$n$$ are positive integers less than 30. $$p$$ is a prime number, while $$n$$ is not a prime number.

Which of the following CANNOT be the sum of $$n$$ and $$p$$?

Indicate all such numbers.

Quantity A

The number of unique prime factors of 27

Quantity B

The number of unique prime factors of 12
K is a prime number.

Quantity A

The greatest prime factor of 40K

Quantity B

The greatest prime factor of 39K
K is a prime number

Quantity A

The greatest prime factor of 49K

Quantity B

The greatest prime factor of 50K
What is the greatest prime factor of 510?
N=$$11^{2}$$*$$13^{3}$$*15

What is the greatest prime factor of N?
What is the greatest prime divisor of $$3^{100}$$- $$3^{97}$$?
n is an even integer.

Quantity A

The number of prime factors of n

Quantity B

The number of prime factors of $$\frac{n}{2}$$
n is a prime number greater than 5

Quantity A

The number of different prime factors of 2n

Quantity B

The number of different prime factors of $$n^{2}$$
How many integers from 1 to 900 inclusive have exactly 3 positive divisors?
In the game of Dubblefud, red chips, blue chips and green chips are each worth 2, 4 and 5 points respectively. In a certain selection of chips, the product of each point value of the chips is 16,000. If the number of blue chips in this selection equals the number of green chips, how many red chips are in the selection?
For any n, nj means the product of all the positive even integers before n

For example, 18j=18*16*--*2

What is the greatest prime factor of 22j+20j?

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