User blog:Antimony Star/ztan numbers: an attempt at making numbers without using recursion

this is my first attempt at making a large number, and obviously a fail.

define

$$ztan(x)$$ as the xth smallest positive integer that has the property

$$|tan(x)| < x$$ . I have found currently 10 such numbers and I don't know if there exists infinitely many of them. x ztan(x) tan(ztan(x)),rounded 1 1 2 2 11 -226 3 33 -75 4 52174 -181570 5 260515 383611 6 573204 -3402634 7 37362253 37754853 8 42781604 -85369290 9 122925461 326900723 10 534483448 1914547469

ztan(x) is sometimes larger and sometimes smaller than

$$10^x$$ , which makes this function grow exponentially.