Given a prime number use generating functions to find the, Mathematics

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Given a prime number use generating functions to find the

Given a prime number, use Generating functions to find the prime number that immediately follows it. For example, if I give a 5, then there will be F(2,3,5) = 7 ; if I give a 11, there will be F(2,3,5,7,11) = 13 ....... (this is a function of all prime numbers before this number) Then what is this function F ?

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