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Śrī Caitanya-caritāmṛta
[Madhya-līlā, Ch. 20]
PURPORT
The  puruṣa-avatāras  are the Lords of the universal creation. These are the Kāraṇodakaśāyī Viṣṇu, Garbhodakaśāyī Viṣṇu and Kṣīrodakaśāyī Viṣṇu. There are also  līlā-avatāras , and these include (1) Catuḥsana, (2) Nārada, (3) Varāha, (4) Matsya, (5) Yajña, (6) Nara-Nārāyaṇa, (7) Kārdami Kapila, (8) Dattātreya, (9) Hayaśīrṣā, (10) Haṁsa, (11) Dhruvapriya, or Pṛśnigarbha, (12) Rṣabha, (13) Pṛthu, (14) Nṛsiṁha, (15) Kūrma, (16) Dhanvantari, (17) Mohinī, (18) Vāmana, (19) Bhārgava Paraśurāma, (20) Rāghavendra, (21) Vyāsa, (22) Pralambāri Balarāma, (23) Kṛṣṇa, (24) Buddha and (25) Kalkī.
These twenty-five Personalities of Godhead are known as  līlā-avatāras . Because they appear in each day of Brahmā, or in each  kalpa  (millennium), they are sometimes known as  kalpa-avatāras . Of these incarnations, Haṁsa and Mohinī are not very permanent or well known, but They are listed among the  prābhava-avatāras . Kapila, Dattātreya, Rṣabha, Dhanvantari and Vyāsa are eternally situated and very widely known. They are also counted among the  prābhava  incarnations. Kūrma, Matsya, Nārāyaṇa, Varāha, Hayagrīva, Pṛśnigarbha, and Baladeva, the killer of Pralambāsura, are counted among the  vaibhava-avatāras .
TEXT 245
অবতার হয় কুষ্ণের ষড়বিধ প্রকার । পুরুষাবতার এক, লীলাবতার আর ॥ ২৪৫ ॥
avatāra haya kṛṣṇera ṣaḍ-vidha prakāra puruṣāvatāra eka, līlāvatāra āra
SYNONYMS
avatāra —incarnations;  haya —there are;  kṛṣṇera —of Lord Kṛṣṇa;  ṣaṭ-vidha prakāra —six kinds;  puruṣa-avatāra —incarnations of Viṣṇu;  eka —one;  līlā-avatāra —incarnations for the execution of pastimes;  āra —also.
TRANSLATION
“There are six types of incarnations [avatāras] of Kṛṣṇa. One is the incarnations of Viṣṇu [puruṣa-avatāras], and another is the incarnations meant for the performance of pastimes [līlā-avatāras].
TEXT 246
গুণাবতার, আর মন্বন্তরাবতার । যুগাবতার, আর শক্ত্যাবেশাবতার ॥ ২৪৬ ॥