|Ādi-līlā||Chapter 3: The External Reasons for the Appearance of Śrī Caitanya Mahāprabhu|
Bhaktivedanta VedaBase: Śrī Caitanya Caritāmṛta Ādi 3.10
aṣṭāviḿśa catur-yuge dvāparera śeṣe
vrajera sahite haya kṛṣṇera prakāśe
aṣṭāviḿśa — twenty-eighth; catuḥ-yuge — in the cycle of four ages; dvāparera — of the Dvāpara-yuga; śeṣe — at the end; vrajera sahite — along with Vraja; haya — is; kṛṣṇera — of Lord Kṛṣṇa; prakāśe — manifestation.
At the end of the Dvāpara-yuga of the twenty-eighth divya-yuga, Lord Kṛṣṇa appears on earth with the full paraphernalia of His eternal Vraja-dhāma.
Now is the term of Vaivasvata Manu, during which Lord Caitanya appears. First Lord Kṛṣṇa appears at the close of the Dvāpara-yuga of the twenty-eighth divya-yuga, and then Lord Caitanya appears in the Kali-yuga of the same divya-yuga. Lord Kṛṣṇa and Lord Caitanya appear once in each day of Brahmā, or once in fourteen manv-antaras, each of seventy-one divya-yugas in duration.
From the beginning of Brahmā's day of 4,320,000,000 years, six Manus appear and disappear before Lord Kṛṣṇa appears. Thus 1,975,320,000 years of the day of Brahmā elapse before the appearance of Lord Kṛṣṇa. This is an astronomical calculation according to solar years.
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His Divine Grace A. C. Bhaktivedanta Swami Prabhupāda, Founder Ācārya of the International Society for Krishna Consciousness