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  "body": "\n## Definition\n\nA prime number is a natural number $p$ such that $p \u003e 1$ and the only positive divisors of $p$ are $1$ and $p$.\n\n## Remarks\n\nThe first prime numbers are $2, 3, 5, 7, 11, 13$. The number $2$ is the only even prime.\nThe number $1$ is not prime by this definition. This choice makes the [[prime factorization|0AEKDFCYFA]] of each integer unique.\nA natural number $n \u003e 1$ that is not prime is a [[composite number|0N3ADXHNTQ]].\nAn equivalent property for $p \u003e 1$ is [[Euclid's lemma|051VYKA1EX]]: if $p \\mid a b$, then $p \\mid a$ or $p \\mid b$.\n\n## Explanations\n\n### L1 human\n\nA prime number is a number greater than $1$ that you cannot split as a product of two smaller natural numbers.\nFor example, $7$ is prime, but $6 = 2 \\cdot 3$ is not.\nThe primes are the building blocks of the natural numbers under multiplication.\n",
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