This paper reports a finding that small primes can be identified by analyzing a sequence of larger primes. The pair correlation function of the sequence of primes (12th to 1000000th primes) is calculated and by analyzing it the smaller primes (3rd to 11th primes) are obtained. Here is presented numerical evidence and a heuristic model for a pair correlation function of primes. It is expected all the primes smaller than a certain value p can be obtained from the pair correlation function of a long sequence of primes larger than p.

prime, prime gap, pair correlation function, histogram.