<human>: Walking back from the gym today I was thinking about prime numbers and how there is no identifiable patterns when it comes to their values and sequential order.  I started playing around with them by listing them from smallest to greatest and plotting them using their values as the y values and their number in the sequence as their x value (integers 1,2,3...).  I found that the graph seemed fairly simplistic  then I used a curve fit   through some coding and trial and error using a matlab file that I wrote up I found that the curve was never more than +-10 off from the actual value of the prime at that integer.  I tried googling this observation but can't seem to find those magical keywords to get my results.  Does anyone know if this has been researched?  I feel like this is basically a pattern of primes; knowing that if you find the equation to this curve and plug in any integer the value you get will be +-10 units from a prime number. Any thoughts?

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<bot>: I plotted prime numbers and found the curve it formed rather simplistic. Has any thought been put into this observation by mathematicians?