Oh no! We’ve stumbled into Dr. von Klutz’s evil lab, and he’s trapped us! The only way to get out is to guess his 5-digit password. Luckily, 6 other people have reached this fate before, and we can learn from their mistakes. The only clue we have is that the password is an electromagnetic constant and none of its digits repeat. You’ll find the guesses of von Klutz’s previous victims below, but to figure this one out, you will need a clue from the Puzzle Master to understand how these guesses fared.
Victim 1 guessed 16022 because the charge of an electron is 1.6022e-19 C.
Victim 2 guessed 65821 because the reduced planck’s constant, h-bar, is 6.5821e-16 eVs.
Victim 3 guessed 20678 for the magnetic flux constant in quantum hall effect h/2e = 2.0678e-15 Wb.
Victim 4 guessed 01370, the inverse electromagnetic coupling constant, α^-1 = 137.
Victim 5 guessed 55263, expecting the answer to be the permittivity in a vacuum, 55.623 e^2/GeVfm.
Victim 6 guessed 66743, and really took one for the team with the gravitational constant, G = 6.6743e-15 Nm^2/kg^2.