Two new potential Prince heirs are stepping forward to get a piece of the pie — and at least one of them isn’t even a blood relation … TMZ has learned.

According to docs filed in probate court, and obtained by TMZ, Norman Yates Carthenssays Prince adopted him — he’s not specific about when — and claims there IS a will that could make him rich.

Carthens says Prince left him $7 million. He makes no mention of where this mysterious will is right now. Prince’s sister Tyka, and his estate have already said there is no will.

Also, an alleged half-sibling named Regina Sorenson filed docs saying she and Prince had the same father. In the docs she says there is a trust, and she should be included in any DNA testing of potential heirs.