We have a 1977 first issue Marvel Comic on Logan's Run in our Dystopian Fiction Collection.
The cover art is by George Perez and Al Milgrom. The story, which is part one of five parts, is by Gerry Conway (from the screenplay by David Zelag Goodman, based on the novel by George Clayton Johnson and William F. Nolan).
The blurb is as follows: Welcome to the 23rd century, where life is perfect. There's just one catch. At birth everyone is implanted with a life jewel in their palm. When they reach the age of thirty, the jewel informs them they must report for termination. Not everyone accepts this however. Some choose to run. That's where Logan comes in. Logan is a Sandman, charged with terminating those who do not submit willingly. Everything changes when Logan meets Jessica and learns the secret of the Ankh she wears. This leads him to be assigned to find Sanctuary, the destination of all runners. To accomplish this task, he must become a runner himself.
Marvel was started in 1939 as "Timely Comics", and by 1951 was mostly known as Atlas Comics. The Marvel era began in 1961, which was the year that they launched "The Fantastic Four" and other superhero titles.