ἀειγενέτης
From LSJ
ἐν μὲν γὰρ ταῖς ἐπιστολαῖς αὐτοῦ οὐδὲ μνήμην τῆς οἰκείας προσηγορίας ποιεῖται, ἢ πρεσβύτερον ἑαυτὸν ὀνομάζει, οὐδαμοῦ δὲ ἀπόστολον οὐδ' εὐαγγελιστήν (Eusebius, Demonstratio evangelica 3.5.88) → For in his epistles he doesn't even make mention of his own name — or simply calls himself the elder, but nowhere apostle or evangelist.
English (LSJ)
only in Ep.form αἰειγενέτης, ου, ὁ, epith. of the gods,
A everlasting, used by Hom. only at the end of a line, θεῶν αἰειγενετάων Il.2.400, cf. 3.296.
Greek (Liddell-Scott)
ἀειγενέτης: μόνον ἐν τῷ Ἐπ. τύπῳ αἰειγενέτης, ου, ὁ, (γενέσθαι) ἐπώνυμον τῶν θεῶν, ὡς τὸ αἰὲν ἐόντες, αἰώνιοι, ἀθάνατοι, ἐν χρήσει παρ’ Ὁμ. μόνον ἐν τέλει στίχου· θεῶν αἰειγενετάων, Ἰλ. Β. 400, καὶ ἄλλ·. θεοῖς αἰειγενέτησιν, Γ. 296, καὶ ἀλλ.