Simple Genius

“I saw them, in my head.”

Alicia said eagerly, “Were they lined up? Were you doing math in your head again?”

“No. It just popped into my mind. I didn’t have to do math.”

“At least not any math of which mere mortals are aware,” Alicia said thoughtfully. “Viggie, I think Mr. Sean wanted to ask you something.”

Viggie looked at him expectantly.

“Well, I just wanted you to know that I’ll be coming to see you. Would that be okay?”

Viggie looked at Alicia, who nodded.

“I guess so,” Viggie said. “But I should really check with Monk.”

“You call your dad by his first name?”

“He calls me by my first name. Isn’t that what people do?”

“I guess it is. I haven’t met your dad, but he sounds like a really cool guy.”

“He is. He played in a rock band in college.” Viggie looked out the window again and Sean was afraid she was about to lapse into one of her “funks,” but she merely said, “I wish he’d come home soon. There are lots of things I have to tell him.”

“Like what?” Sean asked, perhaps a little too quickly.

Viggie immediately rose and started playing the piano again, louder and louder.

When she momentarily stopped, Sean said, “Viggie, when was the last time you saw you dad?” This query only caused her to play even more fiercely.

“Viggie!” Sean said, but Alicia was already pulling him toward the front door as Viggie smashed her fists down on the keyboard and raced out of the room. A few seconds later they heard a door slam. An instant later the woman Sean had seen sleeping on the couch the night before entered the room.

Alicia said, “I’ll be back in a few minutes to check on her, Mrs. Graham.” Alicia led Sean from the house.

“Okay, I see your problem with Viggie,” he said, scratching his head.

“I think she knows, deep down, that there’s something wrong with her father. Anytime anyone starts nibbling around that subject she just shuts down.”

He caught sight of Viggie staring at them from her bedroom window and then, like a thought he’d lost in his head, she was gone.

Sean turned to Alicia. “Those numbers she told you. Couldn’t she have figured it out on a calculator?”

“Yes, but it would have taken her about a full day to do it. 18,313 is the 2,000th prime number, meaning she would have to have gone through all those that preceded it to see if it divided into 408,508,091 without leaving a remainder. She just saw it in her head, like she said.”

“And tell me why this is so important?”

“Sean-”

“Damn it, Alicia, people are dying here. I’ve agreed to protect Viggie because you think she’s in danger. The least you can do is start telling me why.”

“All right. The world runs on information sent electronically. How to move it from A to B safely is the key to civilization. Using your credit card to buy things, getting cash from an ATM, sending an e-mail, paying bills or purchasing things online. Encryption these days is strictly about numbers and their length. The strongest system is based on asymmetric public key cryptography. It’s the only thing that makes electronic transmissions, from government to commercial to private citizens safe and thus viable.”

“I think I’ve heard of it. RSA or something?”

“Right. Now, the standard public key is typically a very large prime number hundreds of digits long that would take a hundred million PCs, working in parallel several thousand years, to figure out the two factors. However, while everyone knows the public key number, or at least your computer does, the only way to read what’s being sent is by unlocking the public key using the two private keys. Those keys are the two prime factors of the public key and only your computer software knows what they are. To use a simple example, the number fifty might be the public key and ten and five would be the private keys. If you know the numbers ten and five you can read the transmission.”

“Like the numbers that Viggie gave you?”

“Yes. With computers getting faster all the time and the practice of running hundreds of millions of computers in massive parallel assaults the encryption standards keep getting ratcheted upward. But, still, all you have to do is add a few more digits to the public key and the time required to break it goes up thousands, if not millions of years.”

“But your research might just throw a monkey wrench in all that.”

“The encryption community is betting on the fact that there is no shortcut to factoring because in 2,000 years of searching no one’s found one. And yet Viggie is able to do it from time to time. Can she do it for bigger numbers? If so, as I said, no electronic transmis-sion is safe and the world as we know it would be drastically different.”

“Back to typewriters, couriers and tin cans strung with wire?”