When Does the TV Show "Krypton" Season One (2018) Take Place?

"Krypton" season one is a science fiction television show showran by Damian Kindler [adapting mostly "The World of Krypton" #3 v2 (1987) by John Byrne] and released March 21st, 2018. 

It takes place on an alternate timeline of the fictional DC Films Universe in the year: 

1794 AD 

We know this because there is a prologue to season 1 episode 1 "Pilot" ending with a time-jump to the main action of the series and a Kryptonese time setting title card translated into English and reading: "14 YEARS LATER". 

1780 + 14 = 1794. 

Additionally, the prologue to season 1 episode 1 "Pilot" is narrated by Seg-El speaking to his yet-to-be-born grandson Kal-El/Clark Kent/Superman, in which he says. "200 years before your birth". 

Now, the show exists in a separate bespoke universe in which the date of Superman's birth is not established but that year has been established it other live-action media, not to mention the material the show is adapting. 

-In the DC Films universe timeline (which comments from a producer led many to believe was directly connected to this show), Kal-El is born in scenes of the film "Man of Steel" (2013), which take place in 1980 AD. 

1980 - 200 = 1780. 

This would put the prologue in 1780 AD and the main action of the show in 1794 AD. 

-In the Superman films universe timeline, sometimes called the Donnerverse after director Richard Donner (less likely to be parallel, but still related), Kal-El is born in scenes just prior to the prologue of the film "Superman: The Movie" (1978), which takes place in 1948 AD. 

1948 - 200 = 1748

and 

1748 + 14 = 1762. 

This would put the prologue in 1748 AD and the main action of the show in 1762 AD. 

-In the "Smallville" universe (less likely to be parallel, but still related), Kal-El arrives on Earth during "Smallville" season 1 episode 1 "Pilot" in 1989 AD. 

1989 - 200 = 1789

and 

1789 + 14 = 1803. 

This would put the prologue in 1789 AD and the main action of the show in 1803 AD. 

-In the 1980s-2011 'Post-Crisis' iteration of the DC Comics Universe (which this show is adapted from), Kal-El arrives on Earth during "Man of Steel" #1 v1 (1986) and flashbacks in “The World of Smallville” #2 (1988) establish the year as 1954 AD. 

1954 - 200 = 1754 

and 

1754 + 14 = 1768. 

This would put the prologue in 1754 AD and the main action of the show in 1768 AD. 

It is (by any calculations) the earliest chronological TV show in the DC Films Universe timeline as well as the earliest chronological DC Comics live-action adaptation and can be watched either at its timeline point or entirely separately.