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  "body": "\n## Summary\n\nA prime knot is a nontrivial [[knot|QYEAZTYGPT]] that is not the [[knot sum|AGZSZW7GYE]] of two nontrivial knots.\nSchubert proved that every nontrivial knot is a knot sum of prime knots in a unique way, up to order.\nSo prime knots play the role for knots that prime numbers play for integers.\nKnot tables list only prime knots.\n\n## Explanations\n\n### L1 human\n\nSome knots are made by tying two simpler knots one after the other on the same string.\nA prime knot is a knot that cannot be split like that.\nThe [[trefoil knot|VYTYSVHN4A]] is prime: it cannot be written as two smaller nontrivial knots.\nThe granny knot, which is two trefoils in a row, is not prime.\nThe plain unknotted loop is not counted as prime, just as $1$ is not a prime number.\n",
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