Using log of pi..............as 3.1.........yet another pattern emerges......................ignore the 1st number........b/c of the prime fundamental..........I think 2 - 11........is based off of something else.....which is why I think the 1st zero is at double digits...........at 1/2 + 14i........

This is based off of 3.1.............for 10 to the 2nd and 10 to the 3rd.............................pi as a log.......underestimates the true number...............there are 25 primes.........for 10 to the 2nd.........and 168.....................below 10 to the 3rd............both the figures below.......for those respective powers of ten..........are underestimates...................it almost nails............10 to the 4th exactly.............there are 1229 primes under 10 to the 4th...........but still an underestimate...........of about .6.......................odd........how that matches.........4.6..............cascade doubling...............then from 10 to the 5th and up.............the numbers below are all OVERestimates............another pattern..........why?....................ignoring what it estimates for 10 to the one..........b/c of single digit primes............b/c they might be different..............the 1st THREE are different than the rest................they are all UNDERestimates..............from there........they are all OVERestimates.......I didn't go up to high powers of ten.................................what pattern is that??  Ignoring the 1st..........the next three being under...............................pi.............1 then 3..............then the rest different.............pi and 13.............reflexive symmetry..............................and the same basic pattern throughout just about all of this.........................which, amongst other things.....is the ratio of the straight to the circular................................

Yet another interesting thing...............is if u look at 10 to the 4th...................10,000.........ten thousand...........................pi truncated as 3.1........................darn near nails it.....................at 1228.4..................the true number...............being 1229............there are one thousand two hundred and 29 primes under 10 thousand...............this says there are 1228.4............almost it exactly...........imp for several reasons.............the 4th .............like pi...............as in 3.14......................and while 3.1 almost nails it...................log of pi as 3.14.....................does OVERestimate it.........

4.914
24.568
163.787
1,228.404
9,827.234
81,893.616
701,945.277
6,142,021.173
54,595,743.759
491,361,693.834