The USS Gregory Jein (NCC-103145) was a Jein-class Federation starship that was service with Starfleet during the early 25th century.
In 2401 the Gregory Jein participated in Frontier Day celebrations near Sol Station. Along with the rest of the fleet, it was seized by the Borg Collective after its younger crew were assimilated by a Borg signal transmitted via Jack Crusher. Following the battle against Sol Station the Gregory Jein was left wrecked in Earth orbit. (PIC: "The Last Generation")
The Gregory Jein's name, class name, registry, and onscreen presence were provided by Star Trek: Picard Production Designer Dave Blass, who also stated that it was designed by John Eaves, who named the ship in honor of the late Gregory Jein. [1]
The ship's registry number is likely a reference to Jein's birth date, 31 October 1945, and represents the earliest known in-universe use of a six digit registry number.