|Ādi-līlā||Chapter 3: The External Reasons for the Appearance of Śrī Caitanya Mahāprabhu|
Bhaktivedanta VedaBase: Śrī Caitanya Caritāmṛta Ādi 3.29
eta bhāvi' kali-kāle prathama sandhyāya
avatīrṇa hailā kṛṣṇa āpani nadīyāya
eta — thus; bhāvi' — thinking; kali-kāle — in the Age of Kali; prathama — first; sandhyāya — in the junction; avatīrṇa hailā — descended; kṛṣṇa — Lord Kṛṣṇa; āpani — Himself; nadīyāya — in Nadia.
Thinking thus, the Personality of Godhead, Śrī Kṛṣṇa Himself, descended at Nadia early in the Age of Kali.
The prathama-sandhyā is the beginning of the age. According to astronomical calculation, the age is divided into twelve parts. The first of these twelve divisions is known as the prathama-sandhyā. The prathama-sandhyā and śeṣa-sandhyā, the last division of the preceding age, form the junction of the two ages. According to the Sūrya-siddhānta, the prathama-sandhyā of Kali-yuga lasts 36,000 solar years. Lord Caitanya appeared in the prathama-sandhyā after 4,586 solar years of Kali-yuga had passed.
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His Divine Grace A. C. Bhaktivedanta Swami Prabhupāda, Founder Ācārya of the International Society for Krishna Consciousness