"A Mighty Fortress Is Our God"

I've been slowly reading Proverbs in German.  A couple weeks ago, I noticed a familiar phrase in Proverbs 18:10:  "Der Name des HERRN ist eine feste Burg; der Gerechte läuft dorthin und wird beschirmt."  In the ESV, this is:  "The name of the LORD is a strong tower; the righteous man runs into it and is safe."

"Eine feste Burg" ("a strong tower") also appears in the German title line of "A Mighty Fortress Is Our God" - "Ein feste Burg ist unser Gott."  The translation of Proverbs I'm reading is by Luther, so there seems to be some connection here, although I don't know which text is older.