Big enough to take colour before the middle is gone. Dry it first.
What to keep in mind
Nothing structural. An assertive sauce is the safest home for a bag that may read iodine-y, and dry heat concentrates rather than dilutes - but whether any method actually masks or exposes bromophenols has never been measured, so this is a hedge and must be labelled as one.
Big enough to take colour before the middle is gone. Dry it first.
What to keep in mind
Treat it as Group A for every cooked method, and as a raw ingredient only when it arrives alive or air-freighted whole. Its classical cooked preparation, irojime, is worth teaching on its own: live prawns skewered head to tail to stop them curling, dropped into heavily salted water with a splash of vinegar, then shocked in ice.
Biggest, densest and most pigmented. If anything browns on a grill, this does.
What to keep in mind
Rank it first for grill and pan sear. It wins on three measured counts: largest commercial shrimp so the longest browning budget; narrower myofibrillar spacing and lower T2 relaxation so it holds water more tightly and puts less exudate in the way; and higher astaxanthin for a deeper cooked colour.
The one sweet cold-water shrimp big enough for fire. Head off first.
What to keep in mind
Grill, sear or roast it, one to two minutes a side, pulled early because it carries over. Peel it raw, which is easier than peeling it cooked. Boil-and-drain stays ruled out: a boil flushes the hepatopancreatic fat that California Sea Grant says dry heat exists to keep.
Six animals to the pound. No other shrimp has this much time to take colour.
What to keep in mind
Grill it. It is the best griller in the whole table on size alone, at about six head-on animals to the pound. The one precondition is R8, and it is sharper here than for any other species: the extension literature states explicitly that freshwater prawns are MORE susceptible to head-enzyme breakdown than marine shrimp, so it must have been deheaded promptly.
Big enough to take colour before the middle is gone. Dry it first.
Processing can change the answer
Sulfited (melanosis-treated)
Over-sulfited shrimp above roughly 100 ppm is described by the extension literature as translucent, glassy, plump, slippery and explicitly HARD TO COOK. That is a chemical-residue diagnosis, not a technique failure, and readers currently blame themselves for it.
Phosphate-treated raw
A treated shrimp still poaches, simmers and boils exactly as its group predicts - it simply weeps. But no species is firm enough or large enough to sear a crust through 5-25% added mobile water: the pan spends the entire ~100-second budget boiling off exudate at 100C and never reaches the 140C the surface needs.
Precooked (cooked and frozen, or cooked and chilled)
Hardness is an integral of time at temperature, and cook loss, shrinkage and hardness correlate at 97.8, 92.3 and 88.4 percent. Every reheat moves further up the same monotonic curve and nothing re-hydrates.