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Mathematicians Discover Prime Conspiracy
Quanta Magazine ^ | 13 Mar, 2016 | Erica Klarreich

Posted on 03/14/2016 5:28:27 PM PDT by MtnClimber

A previously unnoticed property of prime numbers seems to violate a longstanding assumption about how they behave.

o mathematicians have uncovered a simple, previously unnoticed property of prime numbers — those numbers that are divisible only by 1 and themselves. Prime numbers, it seems, have decided preferences about the final digits of the primes that immediately follow them.

Among the first billion prime numbers, for instance, a prime ending in 9 is almost 65 percent more likely to be followed by a prime ending in 1 than another prime ending in 9. In a paper posted online today, Kannan Soundararajan and Robert Lemke Oliver of Stanford University present both numerical and theoretical evidence that prime numbers repel other would-be primes that end in the same digit, and have varied predilections for being followed by primes ending in the other possible final digits.

“We’ve been studying primes for a long time, and no one spotted this before,” said Andrew Granville, a number theorist at the University of Montreal and University College London. “It’s crazy.”

The discovery is the exact opposite of what most mathematicians would have predicted, said Ken Ono, a number theorist at Emory University in Atlanta. When he first heard the news, he said, “I was floored. I thought, ‘For sure, your program’s not working.’”

This conspiracy among prime numbers seems, at first glance, to violate a longstanding assumption in number theory: that prime numbers behave much like random numbers. Most mathematicians would have assumed, Granville and Ono agreed, that a prime should have an equal chance of being followed by a prime ending in 1, 3, 7 or 9 (the four possible endings for all prime numbers except 2 and 5).

(Excerpt) Read more at quantamagazine.org ...

TOPICS: Science
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1 posted on 03/14/2016 5:28:27 PM PDT by MtnClimber

To: MtnClimber

Who didn’t know that?

Obvious to the most casual observer. sheesh

2 posted on 03/14/2016 5:30:15 PM PDT by TexasTransplant (Idiocracy used to just be a Movie... Live every day as your last...one day you will be right)

To: MtnClimber

3 posted on 03/14/2016 5:30:20 PM PDT by MtnClimber (For photos of Colorado scenery and wildlife, click on my screen name for my FR home page.)

To: MtnClimber

Prime Numbers are sentient beings too! They have preferences, you know.

4 posted on 03/14/2016 5:30:39 PM PDT by aMorePerfectUnion (BREAKING.... Vulgarian Resistance begins attack on the GOPe Death Star.....)

To: MtnClimber

66Mhz Pentium FDIV flaw, I suggest.

5 posted on 03/14/2016 5:31:15 PM PDT by The KG9 Kid

To: MtnClimber

I would like to open a store selling prime numbers. Customers would of course have to have exact change.

6 posted on 03/14/2016 5:31:52 PM PDT by Attention Surplus Disorder (I apologize for not apologizing.)

To: MtnClimber

Dang it. I should have persevered instead of assuming there was something wrong with my slide rule.

7 posted on 03/14/2016 5:33:38 PM PDT by sparklite2 ( "The white man is the Jew of Liberal Fascism." -Jonah Goldberg)

To: TexasTransplant

I mentioned to someone just last week, “Have you ever noticed that among the first billion prime numbers, a prime ending in 9 is almost 65 percent more likely to be followed by a prime ending in 1 than another prime ending in 9?”

8 posted on 03/14/2016 5:34:38 PM PDT by Bubba_Leroy (The Obamanation Continues)

To: MtnClimber

Remember, bet on 1.

9 posted on 03/14/2016 5:34:59 PM PDT by UCANSEE2 (Lost my tagline on Flight MH370. Sorry for the inconvenience.)

To: MtnClimber

Prime numbers are ultra important for cyber security. They are not a joke.

10 posted on 03/14/2016 5:35:42 PM PDT by Hostage (ARTICLE V)

To: MtnClimber

I was going to mention this back in 5th grade, but no one seemed interested.

11 posted on 03/14/2016 5:35:48 PM PDT by IncPen (Hey Media: Bias = Layoffs)

To: MtnClimber

12 posted on 03/14/2016 5:37:06 PM PDT by JoeProBono (SOME IMAGES MAY BE DISTURBING Ã¢â¬â¢VIEWER DISCRETION IS ADVISED;-{)

To: Bubba_Leroy
“Have you ever noticed that among the first billion prime numbers, a prime ending in 9 is almost 65 percent more likely to be followed by a prime ending in 1 than another prime ending in 9?”

13 posted on 03/14/2016 5:37:54 PM PDT by UCANSEE2 (Lost my tagline on Flight MH370. Sorry for the inconvenience.)

To: MtnClimber

'What is the first prime number larger than the 17th root of 9,000,355,126,606?'

14 posted on 03/14/2016 5:41:09 PM PDT by Ken H

To: UCANSEE2

caption - Do you realize I have never slept with you because I’m gay?

15 posted on 03/14/2016 5:43:15 PM PDT by Secret Agent Man (Gone Galt; Not averse to Going Bronson.)

To: MtnClimber

I read Free Republic for posts like this. Really. Unremitting politics makes a thin gruel.

16 posted on 03/14/2016 5:44:16 PM PDT by TexasKamaAina

To: Ken H

Seven of course.

17 posted on 03/14/2016 5:44:48 PM PDT by Pollster1 ("A Bill of Rights that means what the majority wants it to meand over an is worthless." - Scalia)

To: MtnClimber

Wow, the final results of a \$20 billion dollar grant .... color me impressed!

18 posted on 03/14/2016 5:50:15 PM PDT by RetiredTexasVet (Lower than Whale feces - Benghazi Clinton lying to the mothers of the murdered State Dept. employees)

To: Ken H
Seven

"Ceterum censeo 0bama esse delendam."

Garde la Foi, mes amis! Nous nous sommes les sauveurs de la République! Maintenant et Toujours!
(Keep the Faith, my friends! We are the saviors of the Republic! Now and Forever!)

LonePalm, le Républicain du verre cassé (The Broken Glass Republican)

19 posted on 03/14/2016 5:51:27 PM PDT by LonePalm (Commander and Chef)

To: MtnClimber

Can’t wait for them to discover that 1 and only 1 even numbered prime number exists.

20 posted on 03/14/2016 5:51:44 PM PDT by Fhios (Going Donald Trump is as close to going John Galt as we'll get.)