Classical puranams are 18 in numbers, divided into three equivalence classes, namely sattvika puranam, rajasika puranam, and tamasika puranam consisting of 6 puranas each. Varaha puranam contained in sattvika classification is correlated with one of the innumerable avatharams of Lord Vishnu, namely the varaha avataram. Avatarams are manifestation of Supreme Lord as earthly life form. Out of innumerable avatarams, ten of them are commonly worshiped together (principal avatarams), which is termed as dashavatharams which encompass various life forms.
The final take home message, or concluding remark of a particular scripture present as a verse within that scripture is referred to as charama slokam. Such a final remark present in varaha puranam is called as varaha charama shlokam. There are two more important charma shlokams, namely, rama charama shlokam contained in Ramayanam, and krishna charama slokam contained in Bagavad Gita (or equivalently, Mahabharatham).
Lord Vishnu took an avataram as a wild boar (varaham) emerging from the nostril of Lord Brahma. The mission of this manifestation was to rescue the mother earth (bhuma-devi) which was immersed in the primordial ocean (pralaya-samudram) by a demon Hiranyaksha. The primordial ocean, or the pralaya-samudram is a highly viscous (jelly like) matter present in cosmos. Upon rescuing bhuma-devi from this pralaya-samudram, there occurred a series of question-answer conversation which is later compiled by Vyasa as varaha puranam.
It is understood that during the time of death, what people think in mind also influences the next birth. Bhuma-devi points out to varaha about the difficulty of being devotional and think of Lord during these last moment, and prayed to show mercy to all her children (we humans) and provide a solution to avoid this last moment dilemmas. Then, varaha promised to Bhuma-devi that instead of humans thinking about Lord during the last moment, He himself will think about them during their last moments if they accepted Him with all devotions when they were perfectly healthy both physically and mentally (also known as sharanagathi). This promise is summarised as varaha charama slokam:
Full-text (+660): Trishakti, Tungakuta, Matrinandana, Agastyagita, Purvacala, Bhagavakchastra, Prithvivarahasamvada, Dvatrimshadaparadhastotra, Dvaravati, Kshiradhenu, Cakratirtha, Prajapala, Kritasamputa, Agnisaras, Akhotakatirtha, Vatakarman, Kubjamraka, Mahavaraha, Vetrasura, Gridhravata.
Expressions researched:
"In the Adi-varaha Purana it is said that a worshiper who has committed offenses may fast for one day at the holy place known as Saukarava and then bathe in the Ganges"