Freiman's constant represents the end of the last "gap" in the Lagrange spectrum. Therefore all real numbers greater than F are part of the Markov spectrum. It is set by the simple equation:

F =  2221564096 + 283748 * rt462
    ----------------------------- = 4.52782956616087914088269598807047...
               491993569

Due to this simple specification, it's straight-forward to generate as many digits of this as you need.