<p>If \\(p>3\\), then \\(p,p+2,p+4\\) are three numbers covering all remainders modulo \\(3\\), so one is divisible by \\(3\\). Since it is greater than \\(3\\), it cannot be prime. Checking \\(p=3\\), we get \\(3,5,7\\), all prime. Therefore \\(p=3\\).</p>