Death by Stoning

There are at 13 biblical passages that prescribe stoning as a punishment for various crimes.

(The Catholic Encyclopedia says there are 18. Did I miss some? If so let me know so I can add another verse to the Everybody must get stoned song.)

Here's a summary

1. For touching Mount Sinai Exodus 19:13
2. For taking "accursed things" Joshua 7:1-26
3. For cursing or blaspheming Leviticus 24:16
4. For adultery (including urban rape victims who fail to scream loud enough) Deuteronomy 22:23-24
5. For animals (like an ox that gores a human) Exodus 21:28
6. For a woman who is not a virgin on her wedding night Deuteronomy 22:13-21
7. For worshipping other gods Deuteronomy 17:2-5
8. For preaching the wrong religion Deuteronomy 13:5-10
9. For disobeying parents Deuteronomy 21:18-21
10. For witches and wizards Leviticus 20:27
11. For giving your children to Molech Leviticus 20:2
12. For breaking the Sabbath Numbers 15:32-56
13. For cursing the king 1 Kings 21:10

So how about the Quran? How many times, and for what offenses, the Quran prescribed death by stoning.

The answer is zero. The Quran does not mention stoning as a punishment for any crime.

So what gives, then? Why is stoning a fairly common punishment in Islamic countries, but rare or nonexistent in Christian or Jewish ones?