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How to derive the equation/function generating a set of coordinates and determine the next coordinate? enter image description here

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    I appologize. Due to my lack of knowledge i called it a line.2012-12-17

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Note that \begin{align} 15 & = 3 \times 5\\ 165 & = 3 \times 5 \times 11\\ 2805 & = 3 \times 5 \times 11 \times 17\\ 81345 & = 3 \times 5 \times 11 \times 17 \times 29\\ 4445145 & = 3 \times 5 \times 11 \times 17 \times 29 \times 41 \end{align} Hence, what you have seems to be the following $a_n = p_1 \times p_2 \times p_3 \times \cdots \times p_n \times p_{n+1}$ where $p_k$ is the minimum of the $k^{th}$ pair of twin prime.

EDIT

OEIS supports this claim.

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    This is very good information and the website linked is very useful.2012-12-17