The Question With No Name

The lab smelled like warm plastic and the mop water the custodian used on Fridays. Everyone else had gone. Maya had pulled her chair close to the screen where the school's math assistant was still chewing through the assignment they were supposed to have finished twenty minutes ago.

"Ask it something real," Maya said. "I'm bored of the homework."

"It's not a genie," Soren said. But he leaned in too.

"Ask it about primes. The big ones. Way past where anybody has counted by hand."

Soren typed. He asked the assistant to look for patterns in how primes spread out across enormous ranges, ranges with more numbers in them than there were seconds since the universe started. The little cursor blinked. Then the screen filled with a curve.

"Okay," Maya said slowly. "What's that bump."

There was a bump. In a place where the primes should have thinned out smoothly, evenly, boringly, they had instead clustered a little. Not much. A lean, like a fence post that leans the same way for a mile.

"Do it again," Maya said. "Different range."

Soren did it again. Another range, a thousand times bigger. The bump was there too, in the same relative spot.

"That's wrong," Maya said, and she was smiling the way she smiled when something was wrong in an interesting way. "That's not supposed to happen. Primes are supposed to be random. Everybody says. My cousin says. The poster in Mr. Adeyemi's room says, more or less."

"They're not random," Soren said carefully. "They're fixed. Every prime is exactly where it has to be. Nobody chose them. It just looks random because nobody can predict the next one."

"Fine. So why is it leaning."

Soren typed a question. He asked the assistant what the pattern was called.

The answer came back in the flat, patient voice the machine used for everything. It said the regularity did not correspond to any named theorem in its records. It said the pattern had been observed in large-scale searches but had no accepted explanation. Then it did something Soren had never seen it do. It asked them a question back.

Does this pattern have a name you know?

Maya read it twice out loud. "It's asking us."

"It's asking us because it doesn't have one," Soren said.

They sat with that. The mop bucket dripped somewhere down the hall.

"Try to break it," Maya said. "Make it go away. If it's just the computer being dumb, it'll fall apart when you push."

So they pushed. Soren asked the assistant to shift the range, stretch it, chop it into pieces, count differently. The bump moved when they moved the window, but it never vanished. It rode along like the shadow of something they could not see casting it.

"It's not the counting," Soren said. "I keep changing how we count and the lean stays. That means it's in the primes. Not in us."

Maya had gone quiet. Then she said, "How big are these numbers again. The ones it's looking at."

Soren checked. He told her. She said the number back slowly, and it took a while to say, and when she was done she looked a little pale and a lot happy.

"Soren. Nobody has ever looked here. Not really. Not one single person has ever written these numbers down and stared at them, because you can't. There isn't enough paper. There aren't enough people. There isn't enough time in a whole human life to check even a corner of it."

"The machine checked it," Soren said.

"The machine checked it, and the machine found a lean, and the machine turned around and asked two kids in a computer lab whether we know what it's called." She laughed, but it came out shaky. "We're the first ones here. The primes have been sitting out there being like this since before there were people. Since before there was anything. And we're the first ones to see it lean."

Soren opened his notebook. He copied the curve, the bump, the ranges, his hand moving fast and then slow where he wanted to get the shape exactly right.

"It could be a mistake," he said, not looking up. "In the program. We should want it to be a mistake. That would be the normal answer."

"Do you think it's a mistake."

He finished the curve before he answered. "No. I changed everything I could change and it didn't care. A mistake would care."

Maya pulled the keyboard toward her. She typed her own question now, slowly, one finger at a time, because she wanted to get the words right.

Has anyone explained why?

The assistant answered. It named the searches. It named the year the regularity was first noticed in machine output. It said, in its flat kind voice, that no proof and no accepted reason had been established, and that the question of whether such regularities point to undiscovered structure in the primes remained open.

Open. Maya put her finger on the word on the screen.

"Open means nobody knows," she said. "Open means it's not in a book yet."

"Open means it could be us," Soren said, and then looked surprised he had said it out loud.

"Not today," Maya said. "We don't even have the words. But somebody. Some kid. Maybe one who isn't born yet is going to figure out why it leans, and they're going to give it a name, and after that it'll be in the poster in Mr. Adeyemi's room like it was always obvious." She turned to him. "But right now it doesn't have a name. Right now it's just true and nobody knows why."

Soren wrote one more thing. Not a fact. A question. He wrote: what is holding the primes in that shape, and does it have a shape of its own that we can't see yet.

"Read it back," Maya said. He read it back.

"Ask it," she said. "Ask it your question. See what it says."

Soren typed his question into the box. His hand was not quite steady. He hovered over the key.

The cursor blinked in the empty answer field, waiting, and neither of them touched it, and the little line kept blinking on and off, on and off, in the dark quiet room where nobody had turned the overhead lights back on.