Network disconnection

###### Description

Suppose that you want to count the number of cases where a prime number is generated when adding 3 numbers among the given numbers. Given an array `nums`

containing numbers as the parameter, write a function `solution`

to return the number of cases where a prime number is generated when adding 3 different numbers among `nums`

.

##### Constraints

- Length of
`nums`

is between 3 and 50. - Each element of
`nums`

is a natural number between 1 and 1,000, and there are no duplicate numbers.

##### Examples

nums | result |
---|---|

[1,2,3,4] | 1 |

[1,2,7,6,4] | 4 |

Example #1

7 can be generated when using [1,2,4].

Example #2

7 can be generated when using [1,2,4].

11 can be generated when using [1,4,6].

13 can be generated when using [2,4,7].

17 can be generated when using [4,6,7].

Result
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