Let $K_1$ be the <connected sum of knots>[connected sum] of $2022$ <trefoil knot>[trefoils]. The trefoil has <Seifert genus> one, and <additivity of Seifert genus> gives
$$
g_s(K_1)=2022.
$$

Solution

Past exam of the mathematics course of the University of Cambridge / 2022 / iii / Paper 112 / 1 / i / Solution

The <Seifert genus> is additive under <connected sum of knots>:
$$
g_s(K\mathbin{\#}J)=g_s(K)+g_s(J).
$$
The upper bound comes from boundary-connected-summing minimal <Seifert surface>[Seifert surfaces], while the reverse inequality follows by cutting any Seifert surface for the connected sum along a splitting sphere.

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 Incoming links: Additivity of Seifert genus