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lets talk about eulers number e which is approximately 2.7 its defining feature lies in the special property of the exponential function e to the x you see the slope of e to the x at any point equals the value of the function at that point while this is quite a mouthful it can be illustrated in a neat way first the slope at any point can be found by first drawing the tangent at that point and then adding this triangle with the horizontal side having length one the slope is then simply the vertical length now the special property of the exponential function is that its slope precisely equals the height of the graph which is true for every single point on the graph this property can be used to define e as there is no other number with this feature thats all fine and good but ask yourself whether you expect this constant or this function to be connected to prime numbers youd probably assume that you theyre lived alive in separate areas of mathematics and dont relate to one another
