https://en.wikipedia.org/wiki/Week#History has a good summary:
>The earliest evidence of an astrological significance of a seven-day period is connected to Gudea, the priest-king of Lagash in Sumer during the Gutian dynasty (about 2100 BCE), who built a seven-room temple, which he dedicated with a seven-day festival. In the flood story of the Assyro-Babylonian Epic of Gilgamesh, the storm lasts for seven days, the dove is sent out after seven days, and the Noah-like character of Utnapishtim leaves the ark seven days after it reaches the firm ground.
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>Counting from the new moon, the Babylonians celebrated the 7th, 14th, 21st and 28th as “holy days”, also called “evil days” (meaning “unsuitable” for prohibited activities). On these days, officials were prohibited from various activities and common men were forbidden to “make a wish”, and at least the 28th was known as a “rest day”. On each of them, offerings were made to a different god and goddess.
>A continuous seven-day cycle that runs throughout history without reference to the phases of the moon was first practiced in Judaism, dated to the 6th century BC at the latest.
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