已知点\((1, \dfrac {1}{3})\)是函数\(f(x)=a^{x}(a > 0\)，且\(a\neq 1)\)的图象上一点，等比数列\(\{a_{n}\}\)的前\(n\)项和为\(f(n)-c\)，数列\(\{b_{n}\}(b_{n} > 0)\)的首项和\(S_{n}\)满足\(S_{n}-S_{n-1}= \sqrt {S_{n}}+ \sqrt {S_{n+1}}(n\geqslant 2)\)．
\((1)\)求数列\(\{a_{n}\}\)和\(\{b_{n}\}\)的通项公式；
\((2)\)若数列\(\{ \dfrac {1}{b_{n}b_{n+1}}\}\)的前\(n\)项和为\(T_{n}\)，问\(T_{n} > \dfrac {1000}{2009}\)的最小正整数\(n\)是多少？