Bhaktivedanta VedaBase: Śrīmad Bhāgavatam 3.11.37

ayaḿ tu kathitaḥ kalpo

dvitīyasyāpi bhārata

vārāha iti vikhyāto

yatrāsīc chūkaro hariḥ

SYNONYMS

ayam — this; tu — but; kathitaḥ — known as; kalpaḥ — the current millennium; dvitīyasya — of the second half; api — certainly; bhārata — O descendant of Bharata; vārāhaḥ — Vārāha; iti — thus; vikhyātaḥ — is celebrated; yatra — in which; āsīt — appeared; śūkaraḥ — hog shape; hariḥ — the Personality of Godhead.

TRANSLATION

O descendant of Bharata, the first millennium in the second half of the life of Brahmā is also known as the Vārāha millennium because the Personality of Godhead appeared in that millennium as the hog incarnation.

PURPORT

The different millenniums known as the Brāhma, Pādma and Vārāha kalpas appear a little puzzling for the layman. There are some scholars who think these kalpas to be one and the same. According to Śrīla Viśvanātha Cakravartī, the Brāhma-kalpa in the beginning of the first half appears to be the Pādma-kalpa. We can, however, simply abide by the text and understand that the present millennium is in the second half of the duration of the life of Brahmā.

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His Divine Grace A. C. Bhaktivedanta Swami Prabhupāda, Founder Ācārya of the International Society for Krishna Consciousness