Question: Who is Erdmann August, Hereditary Prince Of Brandenburg-Bayreuth's paternal grandfather?

Knowledge 1: Erdmann August, Hereditary Prince of Brandenburg-Bayreuth
Erdmann August of Brandenburg-Bayreuth (b. Bayreuth, 8 October 1615 - d. Hof, 6 February 1651), was a member of the House of Hohenzollern and Hereditary Margrave (German: "Erbmarkgraf") of Brandenburg-Bayreuth.He was the seventh of the nine children of Christian, Margrave of Brandenburg-Bayreuth by his wife, Marie of Prussia.In fact, he was the third-born son but the only one to survive into adulthood; his two older brothers Georg Frederick (b. and d. 1608) and Christian Ernst (b. 1613 - d. 1614) died long before his own birth.In Ansbach on 8 December 1641, Erdmann August married the Margravine Sophie of Brandenburg-Ansbach, who was also his first cousin (daughter of Joachim Ernst, Margrave of Brandenburg-Ansbach, his father's brother).They had only one son:Sophie died on 3 December 1646.Erdmann August himself died four years later, aged thirty-five, in the middle of the preparations of his wedding with Sophie Agnes of Mecklenburg-Schwerin.Because he predeceased his father, his son Christian Ernst succeeded as Margrave of Brandenburg-Bayreuth in 1655. [SEP] Knowledge 2: Christian, Margrave of Brandenburg-Bayreuth
Christian, Margrave of Brandenburg-Bayreuth (30 January 1581 in Cölln – 30 May 1655 in Bayreuth) was a member of the House of Hohenzollern and Margrave of Brandenburg-Kulmbach(later renamed "Brandenburg-Bayreuth").He was the eldest of eleven children born to John George, Elector of Brandenburg by his third wife Princess Elisabeth of Anhalt-Zerbst.
Knowledge 1: Erdmann August, Hereditary Prince of Brandenburg-Bayreuth
Erdmann August of Brandenburg-Bayreuth (b. Bayreuth, 8 October 1615 - d. Hof, 6 February 1651), was a member of the House of Hohenzollern and Hereditary Margrave (German: "Erbmarkgraf") of Brandenburg-Bayreuth.He was the seventh of the nine children of Christian, Margrave of Brandenburg-Bayreuth by his wife, Marie of Prussia.In fact, he was the third-born son but the only one to survive into adulthood; his two older brothers Georg Frederick (b. and d. 1608) and Christian Ernst (b. 1613 - d. 1614) died long before his own birth.In Ansbach on 8 December 1641, Erdmann August married the Margravine Sophie of Brandenburg-Ansbach, who was also his first cousin (daughter of Joachim Ernst, Margrave of Brandenburg-Ansbach, his father's brother).They had only one son:Sophie died on 3 December 1646.Erdmann August himself died four years later, aged thirty-five, in the middle of the preparations of his wedding with Sophie Agnes of Mecklenburg-Schwerin.Because he predeceased his father, his son Christian Ernst succeeded as Margrave of Brandenburg-Bayreuth in 1655. [SEP] Knowledge 2: Christian Ernst, Margrave of Brandenburg-Bayreuth
Christian Ernst of Brandenburg-Bayreuth (6 August 1644 in Bayreuth – 20 May 1712 in Erlangen) was a member of the House of Hohenzollern and Margrave of Brandenburg-Bayreuth.He was the only son of Erdmann August, Hereditary Margrave ("Erbmarkgraf") of Brandenburg-Bayreuth, by his wife and first cousin, Sophie of Brandenburg-Ansbach.The death of his father (6 February 1651) made Christian Ernst the new heir to the margraviate of Bayreuth.At the age of ten, he succeeded his grandfather Christian as margrave when he died on 30 May 1655.His uncle Georg Albrecht acted as regent until 1664, when Christian Ernst was declared an adult and assumed the government of his principality.
Knowledge 1: Erdmann August, Hereditary Prince of Brandenburg-Bayreuth
Erdmann August of Brandenburg-Bayreuth (b. Bayreuth, 8 October 1615 - d. Hof, 6 February 1651), was a member of the House of Hohenzollern and Hereditary Margrave (German: "Erbmarkgraf") of Brandenburg-Bayreuth.He was the seventh of the nine children of Christian, Margrave of Brandenburg-Bayreuth by his wife, Marie of Prussia.In fact, he was the third-born son but the only one to survive into adulthood; his two older brothers Georg Frederick (b. and d. 1608) and Christian Ernst (b. 1613 - d. 1614) died long before his own birth.In Ansbach on 8 December 1641, Erdmann August married the Margravine Sophie of Brandenburg-Ansbach, who was also his first cousin (daughter of Joachim Ernst, Margrave of Brandenburg-Ansbach, his father's brother).They had only one son:Sophie died on 3 December 1646.Erdmann August himself died four years later, aged thirty-five, in the middle of the preparations of his wedding with Sophie Agnes of Mecklenburg-Schwerin.Because he predeceased his father, his son Christian Ernst succeeded as Margrave of Brandenburg-Bayreuth in 1655. [SEP] Knowledge 2: Christian Heinrich, Margrave of Brandenburg-Bayreuth-Kulmbach
Christian Heinrich of Brandenburg-Bayreuth-Kulmbach (Bayreuth, 29 July 1661 – Weferlingen, 5 April 1708), was a German prince and member of the House of Hohenzollern and nominal Margrave of Brandenburg-Bayreuth-Kulmbach.

Answer: John George, Elector of Brandenburg