Talmud Bavli
Talmud Bavli

Halakhah for Arakhin 56:37

(ויקרא כז, כח) כל חרם קדש קדשים הוא לה'

THEY [WHO REDEEM IT] ESTIMATE WHAT A MAN WOULD GIVE FOR THIS FIRSTLING IN ORDER TO GIVE IT TO THE SON OF HIS DAUGHTER OR TO THE SON OF HIS SISTER.<span class="x" onmousemove="('comment',' A firstling, by reason of being a firstling, is a sacrifice due, which the owner is obliged to hand to the priest. And if the owner, before bringing this animal to the priest had devoted it, he can redeem it by estimating how much a man would give to him to have that firstling given to his relatives, who are priests. A priest must not pay to an Israelite with the view of being favoured as to the latter's priestly gifts. V. Bek. 27a.');"><sup>21</sup></span>

Sefer HaChinukh

The commandment of the law of one who dedicates from his properties, that it is of the priests: To rule in matters of dedications (cherem, something that is put off limits) - that is, if anyone dedicated something of his possessions undifferentiatedly - for example, [if] he said, "Thing x of mine will become dedicated" - that thing must be given to the priest; as it is stated (Leviticus 27:28), "But any dedication that a man dedicates, etc." [That is,] unless he explicitly said that the dedication be to the Lord, or to the upkeep of the [Temple]. As so did the they, may their memory be blessed, say (Arakhin 28b), "Undifferentiated dedications are for the priest." And their proof is from that which is written explicitly in the section, "like the dedicated field, his holding shall be of the priest."
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