Big Numbers Are Big

Join Our Community of Science Lovers!

This article was published in Scientific American’s former blog network and reflects the views of the author, not necessarily those of Scientific American


SOS, 181418, appears starting at the 1,377,767th digit of pi. Image: xkcd.

Today I have a piece in Slate about that pi meme that's been going around. According to the meme, your life story is encoded in pi somewhere. My life story would probably include the word "Evelyn" at some point. (I'm going out on a limb, but stay with me.) In a code that assigns the string 00 to A and 25 to Z, EVELYN is 042104112413. It does not occur in the first 2 billion digits of pi, according to this pi search page.

At first, I was a bit surprised. 2 billion is a lot of digits, and I was only trying to match 12 of them. But there are 1012—1 trillion—12-digit strings, so only about 0.2 percent of them are present in the first 2 billion digits. In other words, at least 99.8 percent of possible 6-letter words won't occur in the first 2 billion digits of pi. When it comes to encoding entire sentences, the numbers quickly get out of hand.


On supporting science journalism

If you're enjoying this article, consider supporting our award-winning journalism by subscribing. By purchasing a subscription you are helping to ensure the future of impactful stories about the discoveries and ideas shaping our world today.


If you're looking for, say, the works of Shakespeare in pi, you'll need the 618 characters of Sonnet 18 in there, which will require 1236 digits to encode. There are 101236 possible 618-character strings, and 101236-1 are impostor sonnets. The amount of time it would take to sift out all the garbage and find that comparison to a summer's day is simply unfathomable. To give you a frame of reference, the universe has been around for about 1017 seconds and contains approximately 1080 atoms.

So if you're worried that human creativity is worthless because every possible piece of literature, the MP3 of every song anyone will ever sing, the choreography of every ballet, along with the DNA of every person who will ever perform it, is encoded in pi, don't despair. No one with any sense will be switching to a pi-mining strategy to write the next great American novel or record the next "Gangnam Style." The messy, complicated, frustrating, exhilarating inner workings of the human brain are still the most efficient tools for creating profound new art, or meaningful new ideas in any field. At least until we become the sniveling slaves of our robot masters.

Subscribe to Support Independent Journalism

Great science journalism requires human expertise, time, effort and creativity. And it costs money. That’s why I and the journalists here at Scientific American hope you’ll join our community.

When you subscribe, you are supporting staff and freelance journalists who are passionate about telling science stories that are true, important and compelling. Our editors and reporters are often experts in their fields, which means they understand the nuances of big discoveries and can untangle the breakthroughs from the hype. With a subscription, you are also supporting rigorous fact-checking to ensure the words we publish are precise and accurate. And you’re supporting original illustrations, graphics and photos that bring you closer to an advanced laboratory, an ice sheet in Antarctica or a space mission in orbit. You’re helping us craft other types of high-quality journalism as well: Our newsletters are carefully written, edited and curated by staffers you have or will come to know and love. Our Science Quickly podcast is based on original reporting, collaboration with editors and scientists and exacting production.

Subscriptions keep this engine running so we can continue to deliver thoughtful, rigorous and independent science journalism to you. In an era of viral misinformation, this work is crucial. If you value what we do, I hope you’ll consider joining us as a subscriber

Thank you,

Jeanna Bryner, Editor in Chief, Scientific American

Subscribe