Luke 24:23

καὶ μὴ εὑροῦσαι τὸ σῶμα αὐτοῦ, ἦλθον λέγουσαι καὶ ὀπτασίαν ἀγγέλων ἑωρακέναι, οἳ λέγουσιν αὐτὸν ζῇν.

RBT Greek Interlinear:

Strongs 2532; kai; καὶ; and; Conj

Strongs 3361; mē; μὴ; not; Adv

Strongs 2147; heurousai; εὑροῦσαι; those who have found; V-APA-NFP

Strongs 3588; to; τὸ; the; Art-ANS

Strongs 4983; sōma; σῶμα; body; N-ANS

Strongs 846; autou; αὐτοῦ; himself; PPro-GM3S

Strongs 2064; ēlthon; ἦλθον; I have come; V-AIA-3P

Strongs 3004; legousai; λέγουσαι; those who are saying; V-PPA-NFP

Strongs 2532; kai; καὶ; and; Conj

Strongs 3701; optasian; ὀπτασίαν; a vision; N-AFS

Strongs 32; angelōn; ἀγγέλων; angels; N-GMP

Strongs 3708; heōrakenai; ἑωρακέναι; to have perceived; V-RNA

Strongs 3739; hoi; οἳ; they who/whosoever; RelPro-NMP

Strongs 3004; legousin; λέγουσιν; say; V-PIA-3P

Strongs 846; auton; αὐτὸν; himself; PPro-AM3S

Strongs 2198; zēn; ζῆν; to live; V-PNA

RBT Hebrew Literal:

Live!

And those who have not found the Body of himself came, those who are also speaking to have perceived a vision of angels, they who are speaking for himself to live!¹⁰⁰

Julia Smith Literal 1876 Translation:
And not finding his body, they came, saying also to have seen a vision of messengers, who say he is living.

LITV Translation:
and not finding His body, they came saying to have seen a vision of angels also, who say Him to be alive.

ESV Translation:
and when they did not find his body, they came back saying that they had even seen a vision of angels, who said that he was alive.

Footnotes

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In Ancient Greek, the accusative case is used as the logical subject of the infinitive in what's known as the accusative and infinitive construction (accusativus cum infinitivo). Thus, in this phrase αὐτὸν ζῆν, the pronoun αὐτόν serves as the subject of the infinitive ζῆν ("to live"), yielding the meaning “for him to live” or “that he may live.”

"In general the subject of the infinitive, if expressed at all, stands in the accusative."

(cf. Smyth §1972)

See Herbert Weir Smyth, A Greek Grammar for Colleges (New York: American Book Company, 1920), §1986, available at Perseus Digital Library. Additional overview available in the Wikipedia entry on Ancient Greek infinitives.