- #1

Saracen Rue

- 149

- 10

- TL;DR Summary
- Find the point of intersection between ##f(x) = {^{\infty}x} = x \uparrow \uparrow \infty## and ##g(x)=p_{x}###

Consider ##f(x) = {^{\infty}x} = x \uparrow \uparrow \infty## and ##g(x)=p_{x}###, where ##p_x### is the primorial function and is defined such that ##p_n### is the product of the first ##n## prime numbers. For example, ##p_{4}### ##= 2×3×5×7=210##

Let the point of intersection be defined as ##(m, f(m))##; determine the value of both ##m## and ##f(m)## correct to five significant figures.

Let the point of intersection be defined as ##(m, f(m))##; determine the value of both ##m## and ##f(m)## correct to five significant figures.