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Partitions. Hardy: P(4) = 5. Now, all that means is there are five ways to add up the number 4. 1 + 1 + 1 + 1, 3 + 1, 2 + 1 + 1, 2 + 2, and 4. Littlewood: Seems simple enough. Hardy: Yeah. So it does. But when you raise the number of P(100), there are 204,226 different combinations. Major MacMahon did it by hand. Took him weeks. And now he thinks he can figure out a formula. Plug in the number, any number, and out comes the number of partitions. Like magic. Littlewood: I take it you have tried to crack this one before? Hardy: It's considered impossible. Unsolvable. A bloody rabbit hole mystery of the universe. Littlewood: Until now?