The Markan Priory theory holds that the Gospel of Mark was written between 65-80 AD, that the Gospel of Matthew was written between 90-110 AD, and that the Gospel of Luke was written between 95-140 AD.
Well, again, this is a relic of antiquated scholarship. I doubt there would be many people - even those who hold Markan priority and/or the Two-source hypothesis - who would dare assign late dates to gospel nowadays. Back in the days when most of the early New Testament papyri we have now were not yet discovered, people could run wild and even assign this or that Gospel to the 2nd or even the 3rd century. In fact, the modern trend it seems is to assign the gospels earlier and earlier in history.
From a Markan priority POV, the majority (but not the concensus) view today is that Mark would have been written around AD 70 or even earlier into the late 60s, Matthew is thought to have come shortly after Mark in the 70s or 80s, and Luke is now usually assigned somewhere around the 80s or 90s. Some historians would prefer earlier dates than these of course (so that the Synoptics would be written around the 50s-60s), but it’s pretty much agreed today that the Gospels were already in existence by the end of the 1st century and the beginning of the 2nd.
And about the Eusebius quote (Ecclesiastical History 6.14.5-7):
Again, in the same books, Clement gives the tradition of the earliest presbyters, as to the order of the Gospels, in the following manner:
The Gospels containing the genealogies, he says, were written first. The Gospel according to Mark had this occasion. As Peter had preached the Word publicly at Rome, and declared the Gospel by the Spirit, many who were present requested that Mark, who had followed him for a long time and remembered his sayings, should write them out. And having composed the Gospel he gave it to those who had requested it.
When Peter learned of this, he neither directly forbade nor encouraged it. But, last of all, John, perceiving that the external facts had been made plain in the Gospel, being urged by his friends, and inspired by the Spirit, composed a spiritual Gospel. This is the account of Clement.
A curious element of his testimony is that Mark supposedly wrote his Gospel while Peter is still alive. Clement is apparently in the minority here: in other sources, such as Irenaeus and the author of the anti-Marcionite prologue to Mark, Mark is supposed to have written his gospel after Peter’s death (though the article disagrees). The article has already provided the English translation so I’ll provide the Greek and Latin.
Ὁ μὲν δὴ Ματθαῖος ἐν τοῖς Ἑβραίοις τῇ ἰδίᾳ αὐτῶν διαλέκτῳ καὶ γραφὴν ἐξήνεγκεν εὐαγγελίου, τοῦ Πέτρου καὶ τοῦ Παύλου ἐν Ῥώμῃ εὐαγγελιζομένων καὶ θεμελιούντων τὴν ἐκκλησίαν. Μετὰ δὲ τὴν τούτων ἔξοδον, Μάρκος, ὁ μαθητὴς καὶ ἑρμηνευτὴς Πέτρου, καὶ αὐτὸς τὰ ὑπὸ Πέτρου κηρυσσόμενα ἐγγράφως ἡμῖν παραδέδωκεν. Καὶ Λουκᾶς δέ, ὁ ἀκόλουθος Παύλου, τὸ ὑπ’ ἐκείνου κηρυσσόμενον εὐαγγέλιον ἐν βίβλῳ κατέθετο. Ἔπειτα Ἰωάννης, ὁ μαθητὴς τοῦ Κυρίου, ὁ καὶ ἐπὶ τὸ στῆθος αὐτοῦ ἀναπεσών, καὶ αὐτὸς ἐξέδωκεν τὸ εὐαγγέλιον, ἐν Ἐφέσῳ τῆς Ἀσίας διατρίβων.
Ita Matthaeus in Hebraeis ipsorum lingua scripturam edidit Evangelii, cum Petrus et Paulus Romae evangelizarent, et fundarent ecclesiam. Post vero horum excessum, Marcus discipulus et interpres Petri, et ipse quae a Petro annuntiata erant, per scripta nobis tradidit. Et Lucas autem sectator Pauli, quod ab illo praedicabatur Evangelium in libro condidit. Postea et Ioannes discipulus Domini, qui et supra pectus eius recumbebat, et ipse edidit Evangelium, Ephesi Asiae commorans.
Of this the article claims:
The Latin version may imply that Irenaeus was thinking that Mark and Luke wrote after the death of Peter. However, the perfect tense used in the Greek version makes it clear that this is not so. Irenaeus was merely saying that the gospels of Mark and Luke have handed on the traditions taught by Peter and Paul when they were still alive ((RO 163)). …] ‘Demise
was also used by the Greeks to denote ‘departure.
The basic thought of the Greek perfect tense is that the progress of an action has been completed and the results of the action are continuing on, in full effect. In other words, the progress of the action has reached its culmination and its results are now in existence. Unlike the English perfect, which indicates a completed past action, the Greek perfect tense indicates the continuation and present state of a completed past action.
The word in question is ἔξοδον (
exodon), which does literally mean ‘departure’, i.e. an exodus. However, it could also mean ‘departure in death’, and is so used in Luke 9:31 and 2 Peter 1:15, as well as in some early Christian literature. This is the sense most commentators read Irenaeus’ comment.