ONE NUMBER. MANY LAYERS.

613 — Knowledge, Obligation, Meaning.

In Jewish tradition, the number 613 represents the commandments (mitzvot) of the Torah. It connects textual history, religious practice, symbolism, and surprising mathematics.

Understand the 613 Mitzvot Discover 613 as a Number

Background: The traditional number 613 is explained in the Talmud with 248 positive commandments and 365 negative prohibitions. Individual counting systems vary.

613 Mitzvot

The traditional structuring of Torah commandments.

More about commandments →

History

How the count developed from Rabbi Simlai to Maimonides.

Historical development →

Symbolism

How fringes (tzitzit) symbolize the commandments.

Symbolism & Tzitzit →

Mathematics

Properties as a prime number, sum of squares, and Pythagorean triple.

Mathematical properties →

Mathematical Overview

Prime Number

613

The 112th prime number

Sum of Squares

17² + 18²

289 + 324 = 613

Pythagorean Triple

35² + 612² = 613²

1225 + 374544 = 375769

Contextualize rather than simplify.

613.fyi is based on verifiable texts and mathematical proofs. Discover all references and primary sources used.

Sources