(י) וְנָהָרּ֙ יֹצֵ֣א מֵעֵ֔דֶן לְהַשְׁק֖וֹת אֶת־הַגָּ֑ן וּמִשָּׁם֙ יִפָּרֵ֔ד וְהָיָ֖ה לְאַרְבָּעָ֥ה רָאשִֽׁים׃ (יא) שֵׁ֥ם הָֽאֶחָ֖ד פִּישׁ֑וֹן ה֣וּא הַסֹּבֵ֗ב אֵ֚ת כָּל־אֶ֣רֶץ הַֽחֲוִילָ֔ה אֲשֶׁר־שָׁ֖ם הַזָּהָֽב׃ (יב) וּֽזֲהַ֛ב הָאָ֥רֶץ הַהִ֖וא ט֑וֹב שָׁ֥ם הַבְּדֹ֖לַח וְאֶ֥בֶן הַשֹּֽׁהַם׃ (יג) וְשֵֽׁם־הַנָּהָ֥ר הַשֵּׁנִ֖י גִּיח֑וֹן ה֣וּא הַסּוֹבֵ֔ב אֵ֖ת כָּל־אֶ֥רֶץ כּֽוּשׁ׃ (יד) וְשֵׁ֨ם הַנָּהָ֤ר הַשְּׁלִישִׁי֙ חִדֶּ֔קֶל ה֥וּא הַֽהֹלֵ֖ךְ קִדְמַ֣ת אַשּׁ֑וּר וְהַנָּהָ֥ר הָֽרְבִיעִ֖י ה֥וּא פְרָֽת׃
(10) And a river went out of Eden to water the garden; and from thence it was parted, and became four heads. (11) The name of the first is Pishon; that is it which compasseth the whole land of Havilah, where there is gold; (12) and the gold of that land is good; there is bdellium and the onyx stone. (13) And the name of the second river is Gihon; the same is it that compasseth the whole land of Cush. (14) And the name of the third river is Tigris; that is it which goeth toward the east of Asshur. And the fourth river is the Euphrates.
(7) And Saul smote the Amalekites, from Havilah as thou goest to Shur, that is in front of Egypt.
However, there is something about the rivers that they all have in common: They are the main rivers of the places that Bnei Yisrael dwelled in during the time of the Tanach.
It was taught: Rabbi Yishmael says, "Come and see how much Israel is loved before the Holy One, Blessed be He, for in every place that they were exiled to, the [Divine] presence was with them. They were exiled to Egypt- the [Divine] presence was with them, as it says, "Did I reveal myself to you and to your father's house when they were in Egypt, etc. (I Samuel 2:27)."
They were exiled to Babylon, and the [Divine] presence was with them, as it is said, "For your sake I have sent to Babylon (Isaiah 43:14)."