Please take six different natural numbers at the same time, so that they meet the following requirements: (1) any two of the six numbers are mutually prime; (2) the sum of any two, three, four, five and six of the six numbers are composite numbers, and briefly explain the reasons why the selected numbers meet the conditions

Please take six different natural numbers at the same time, so that they meet the following requirements: (1) any two of the six numbers are mutually prime; (2) the sum of any two, three, four, five and six of the six numbers are composite numbers, and briefly explain the reasons why the selected numbers meet the conditions

There can only be one even number in six at most, but the (2) condition can not be guaranteed. Therefore, all six should choose odd number, ∵ odd number + odd number = even number, ∵ the sum of any two, four and six numbers must be a composite number. To ensure that the sum of three and five numbers is a composite number, the remainder is equal when they are divided by three and five. ∵ 3 × 5 = 15

What is the multiple of 0,5,8,4,9,5 cards that can make up both 2 and 3

Among the five cards, the digital cards that can be used to form multiples of 2 and 3 are 0, 5, 4 and 9. When forming multiples of 3, 5 and 4 must be used at the same time
When 8 participates in the group number, the sum of each digit cannot be divided by 3, so it cannot be a multiple of 3

1. If two numbers are coprime, the least common multiple of the two numbers is 2. If two numbers are multiple relations, the least common multiple of the two numbers is【

1. The product of the two numbers
The larger of the two numbers

1. 2, 3, 4 and 5 are the two numbers of the coprime relationship?

（1,2）（1,3）（1,4）（1,5）
（2,3）（2,5）
（3,4）（3,5）
（4,5）
There were 9 groups