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On Sum of Fractions

2000ms 262144K

Description:

Let's assume that

  • v(n) is the largest prime number, that does not exceed n;
  • u(n) is the smallest prime number strictly greater than n.

Find .

Input:

The first line contains integer t (1 ≤ t ≤ 500) — the number of testscases.

Each of the following t lines of the input contains integer n (2 ≤ n ≤ 109).

Output:

Print t lines: the i-th of them must contain the answer to the i-th test as an irreducible fraction "p/q", where p, q are integers, q > 0.

Sample Input:

2
2
3

Sample Output:

1/6
7/30

Informação

Codeforces

Provedor Codeforces

Código CF396B

Tags

mathnumber theory

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Datas 09/05/2023 08:49:15

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