This is a list of people claimed to be immortal. This list does not reference purely spiritual entities (spirits, gods, demons, angels), non-humans (monsters, aliens, elves), or artificial life (artificial intelligence, robots).
This list comprises people claimed to achieve a deathless existence on Earth. This list does not contain those people who are supposed to have attained immortality through the typical means of a religion, such as a Christian in Heaven. It also does not include people whose immortality involves living in a place not on Earth, such as Heracles on Mount Olympus or the Eight Immortals of Taoism in Mount Penglai. It also does not include people who, according to their religion, became deities or actually were deities the whole time, such as Jesus of Nazareth (who as part of the Trinity was, according to Christianity, also God) or Parashurama according to Hindu mythology. 
List.
These listings are in chronological order, though some dates are approximate. 
References.
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