The Lord's early life was recorded by one of His chief devotees and contemporaries, namely Śrīla Murāri Gupta, a medical practitioner of that time, and the latter part of the life of Śrī Caitanya Mahāprabhu was recorded by His private secretary Śrī Dāmodara Gosvāmī, or Śrīla Svarūpa Dāmodara, who was practically a constant companion of the Lord at Purī. These two devotees recorded practically all the incidents of the Lord's activities, and later on all the books dealing with the Lord, which are above mentioned, were composed on the basis of kaḍacās (notebooks) by Śrīla Dāmodara Gosvāmī and Murāri Gupta.
So the Lord advented Himself on the Phālgunī Pūrṇimā evening of 1407 Śakābda, and it was by the will of the Lord that there was a lunar eclipse on that evening. During the hours of eclipse it was the custom of the Hindu public to take bath in the Ganges or any other sacred river and chant the Vedic mantras for purification. When Lord Caitanya was born during the lunar eclipse, all India was roaring with the holy sound of Hare Kṛṣṇa, Hare Kṛṣṇa, Kṛṣṇa Kṛṣṇa, Hare Hare/ Hare Rāma, Hare Rāma, Rāma Rāma, Hare Hare. These sixteen names of the Lord are mentioned in many Purāṇas and Upaniṣads, and they are described as the Tāraka-brahma nāma of this age. It is recommended in the śāstras that offenseless chanting of these holy names of the Lord can deliver a fallen soul from material bondage. There are innumerable names of the Lord both in India and outside, and all of them are equally good because all of them indicate the Supreme Personality of Godhead. But because these sixteen are especially recommended for this age, people should take advantage of them and follow the path of the great ācāryas who attained success by practicing the rules of the śāstras (revealed scriptures).
The simultaneous occurrence of the Lord's appearance and the lunar eclipse indicated the distinctive mission of the Lord. This mission was to preach the importance of chanting the holy names of the Lord in this age of Kali (quarrel). In this present age quarrels take place even over trifles, and therefore the śāstras have recommended for this age a common platform for realization, namely chanting the holy names of the Lord. People can hold meetings to glorify the Lord in their respective languages and with melodious songs, and if such performances are executed in an offenseless manner, it is certain that the participants will gradually attain spiritual perfection without having to undergo more rigorous methods. At such meetings everyone, the learned and the foolish, the rich and the poor, the Hindus and the Muslims, the Englishmen and the Indians, and the caṇḍālas and the brāhmaṇas, can all hear the transcendental sounds and thus cleanse the dust of material association from the mirror of the heart. To confirm the Lord's mission, all the people of the world will accept the holy name of the Lord as the common platform for the universal religion of mankind. In other words, the advent of the holy name took place along with the advent of Lord Śrī Caitanya Mahāprabhu.