"We are
"It's Detachment 2702 now," Lawrence says.
"Oh," Alan says, crestfallen. "You noticed."
"It was reckless of you, Alan."
"On the contrary!" Alan says. "What will Rudy think if he notices that, of all the units and divisions and detachments in the Allied order of battle, there is not a single one whose number happens to be the product of two primes?"
"Well, that depends upon how common such numbers are compared to all of the other numbers, and on how many other numbers in the range are going unused . . ." Lawrence says, and begins to work out the first half of the problem. "Riemann Zeta function again. That thing pops up everywhere."
"That's the spirit!" Alan says. "Simply take a rational and common-sense approach.
"Who?"
"Here," Alan says, slowing to a stop and looking around at the trees, which to Lawrence look like all the other trees. "This looks familiar." He sits down on the bole of a windfall and begins to unpack electrical gear from his bag. Lawrence squats nearby and does the same. Lawrence does not know how the device works--it is Alan's invention--and so he acts in the role of surgical assistant, handing tools and supplies to the doctor as he puts the device together. The doctor is talking the entire time, and so he requests tools by staring at them fixedly and furrowing his brow.
"Alan!"
"Well, it is foolish! Like this Midway thing. That's a perfect example, isn't it?"
"Well, I was happy that we won the battle," Lawrence says guardedly.
"Don't you think it's a bit
"All right," Lawrence says, "I was appalled. I wrote a paper about it. Probably the paper that got me into this mess with you."
"Well, it's no better with us Brits," Alan says.
"Really?"
"You would be horrified at what we've been up to in the Mediterranean. It is a scandal. A crime.
"What have we been up to?" Lawrence asks. "I say 'we' rather than 'you' because we are allies now."
"Yes, yes," Alan says impatiently. "So they claim." He paused for a moment, tracing an electrical circuit with his finger, calculating inductances in his head. Finally, he continues: "Well, we've been sinking convoys, that's what. German convoys. We've been sinking them right and left."
"Rommel's?"
"Yes, exactly. The Germans put fuel and tanks and ammunition on ships in Naples and send them south. We go out and sink them. We sink nearly all of them, because we have broken the Italian C38m cipher and we know when they are leaving Naples. And lately we've been sinking
Turing snaps a toggle switch on his invention and a weird, looping squeal comes from a dusty black paper cone lashed onto the breadboard with twine. The cone is a speaker, apparently scavenged from a radio. There is a broomstick with a loop of stiff wire dangling from the end, and a wire running from that loop up the stick to the breadboard. He swings the broomstick around until the loop is dangling, like a lasso, in front of Lawrence's midsection. The speaker yelps.
"Good. It's picking up your belt buckle," Alan says.
He sets the contraption down in the leaves, gropes in several pockets, and finally pulls out a scrap of paper on which several lines of text have been written in block letters. Lawrence would recognize it anywhere: it is a decrypt worksheet. "What's that, Alan?"
"I wrote out complete instructions and enciphered them, then hid them under a bridge in a benzedrine container," Alan says. "Last week I went and recovered the container and decyphered the instructions." He waves the paper in the air.
"What encryption scheme did you use?"
"One of my own devising. You are welcome to take a crack at it, if you like."
"What made you decide it was time to dig this stuff up?"
"It was nothing more than a hedge against invasion," Alan says. "Clearly, we're not going to be invaded now, not with you chaps in the war."
"How much did you bury?"