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38 are the years during which the Jewish People were "nezufim," under a Divine ban (from the 9th of Av 2449, after the sin of the Spies, to the 15th of Av 2487). During this time, too, Hashem's commu …

37 were the years that King Yehoyachin spent in prison in Babylonia (II Kings 25:27, Jer. 52:31).

37 were King David's mighty men (II Sam. 23:23-39).

32 degrees is the (approximate) latitude of Jerusalem. (Rambam, Hil. Kiddush Hachodesh 11:17) This information is necessary in order to calculate the moon's visibility and altitude on a given night. …

31 are the Canaanite kings whom the Jewish People defeated and killed. (Joshua 12:7-23)

(II Kings 21:1) Correspondingly, 55 are the number of approaches he was able to use to explain the Book of Vayikra (Sanhedrin 103b). …

20 are the gerahs in a shekel (Ex. 30:13). Also, 20 silver denarii = the 5 shekalim needed for redeeming a firstborn son (Bava Metzia 44b and Rashi there).

30 letters (three times למשפחותיכם) is the width of each line in a Torah scroll. (Shulchan Aruch, Yoreh De'ah 272:2) 30 lines are used to write the Song of the Sea (Ex. 15:1-19) in a Torah scroll. (i …

Tikkunei Zohar (introduction, 4b, passim) associates these with the verse (Ex. 3:15, זה שמי לעלם וזה זכרי לדר דר - "This is My name forever, and this is My remembrance for all generations." The refer …

60 are the number of letters in Birkas Kohanim. These are compared to valiant warriors who guard and protect the Jewish People. (Tanchuma, Naso 9, et al, interpreting Song of Songs 3:7) …

It's actually if Israel has the majority of the world's Jewish population, not just a plurality. The figures in your second link have 42.5% in Israel vs. 57.5% outside of it - so we're not quite there …

Sarah was born 301 years after the end of the Flood (1657-1958).

300 years passed from when the Jews conquered the (former Moabite and Ammonite) territories on the east side of the Jordan, until the king of Ammon demanded them back. (Judg. 11:26)

Well, not sure how much this is a Jewish fact per se, but Raavad, in his Seder HaKabbalah, states about Yeshu Hanotzri that "we have a reliable tradition that... 299 years after the building of the [s …

Section 297 of Yoreh De'ah (in Shulchan Aruch) is unusual in that there are two of them, one covering the laws of planting mixtures (kilayim) of plants other than grapevines, the other about the laws …