How to derive the equation/function generating a set of coordinates and determine the next coordinate?
How to derive the equation of a line going through a set of coordinates then give the next coordinate in the sequence?
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algebra-precalculus
trigonometry
functions
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0I appologize. Due to my lack of knowledge i called it a line. – 2012-12-17
1 Answers
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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
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0This is very good information and the website linked is very useful. – 2012-12-17