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Mathematicians Are Making Major Breakthroughs In The Understanding Of Prime Numbers
businessinsider.com ^ | Nov. 21, 2013, 3:07 PM | Andy Kiersz

Posted on 11/23/2013 5:57:05 PM PST by BenLurkin

 Most mathematicians have a sense that the twin primes conjecture should be true — the positioning of the prime numbers appear to be more or less random, even though on average the gaps between primes get larger, and if one has an infinitely long list of random odd numbers, we should have an infinite collection of pairs in our list. If at some point, prime numbers are always more than two numbers away from each other, we have a non-random aspect to their distribution that goes against this intuition.

(Excerpt) Read more at businessinsider.com ...


TOPICS: Science
KEYWORDS: primenumbers; stringtheory
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1 posted on 11/23/2013 5:57:05 PM PST by BenLurkin
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To: BenLurkin

Dual primes are my favorite type of numbers.


2 posted on 11/23/2013 5:59:51 PM PST by Paladin2
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To: BenLurkin

“Math is HARD!” ~ Barbie...and Diana in Wisconsin, LOL!


3 posted on 11/23/2013 6:01:53 PM PST by Diana in Wisconsin (I don't have 'Hobbies.' I'm developing a robust Post-Apocalyptic skill set...)
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To: Paladin2

Dual -—> +2


4 posted on 11/23/2013 6:02:06 PM PST by Paladin2
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To: Diana in Wisconsin; Paladin2

It’s all Greek to me.


5 posted on 11/23/2013 6:04:33 PM PST by BenLurkin (This is not a statement of fact. It is either opinion or satire; or both.)
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To: BenLurkin

I’ve been saying that for years. (/s)


6 posted on 11/23/2013 6:04:58 PM PST by PistolPaknMama
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To: BenLurkin

Thanks for posting. Interesting stuff.

The internet is obviously helping to advance research by speeding communication and enabling collaboration. Once the concept of a bounded gap was introduced everyone piled on.


7 posted on 11/23/2013 6:06:50 PM PST by MV=PY (The Magic Question: Who's paying for it?)
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To: Diana in Wisconsin

““Math is HARD!” ~ Barbie...and Diana in Wisconsin, LOL!”

I’ll have to put that question on my Match.com profile to ask woman before I talk to them!


8 posted on 11/23/2013 6:08:05 PM PST by HereInTheHeartland (Obama lied; our healthcare died.)
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To: BenLurkin

Wait, WHAT?... ugh.. Is there going to be a test at the end? OMG, I hope not.. :)


9 posted on 11/23/2013 6:15:32 PM PST by carlo3b (RUFFLE FEATHERS, and destroy their FEATHER NEST!)
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To: BenLurkin

Most integers are very large.


10 posted on 11/23/2013 6:15:43 PM PST by Scrambler Bob ( Concerning bo -- that refers to the president. If I capitalize it, I mean the dog.)
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To: BenLurkin

One One is the loneliest number that you’ll ever do.


11 posted on 11/23/2013 6:18:38 PM PST by DManA (rs)
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To: Diana in Wisconsin

I think Mathematician Barbie is new for this Christmas season.


12 posted on 11/23/2013 6:19:44 PM PST by DManA (rs)
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To: DManA

Okay. Now I have that song stuck in my head.


13 posted on 11/23/2013 6:19:53 PM PST by BenLurkin (This is not a statement of fact. It is either opinion or satire; or both.)
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To: BenLurkin

Uh 1, uh 2, uh 3, 5,11,


14 posted on 11/23/2013 6:20:15 PM PST by Vendome (Don't take life so seriously-you won't live through it anyway-Enjoy Yourself ala Louis Prima)
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To: BenLurkin

Called ear-worms. I get them too.


15 posted on 11/23/2013 6:22:21 PM PST by DManA (rs)
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To: Vendome

7. You forgot 7.


16 posted on 11/23/2013 6:22:30 PM PST by Ramius (Personally, I give us one chance in three. More tea anyone?)
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To: BenLurkin

This has implications for the security of public key cryptography.


17 posted on 11/23/2013 6:24:21 PM PST by 17th Miss Regt
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To: DManA

Ken says his prime numbers are 38 24 36


18 posted on 11/23/2013 6:24:58 PM PST by driftdiver (I could eat it raw, but why do that when I have a fire.)
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To: Vendome

And 7?


19 posted on 11/23/2013 6:26:48 PM PST by aruanan
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To: BenLurkin

Note my tagline...


20 posted on 11/23/2013 6:27:06 PM PST by lyby ("Mathematics is the language with which God has written the universe." ~ Galileo Galilei)
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To: BenLurkin

Isn’t it logical that if there are infinite base systems (base-2 binary, base 16 hexadecimal, etc.) then there ought to be infinite prime numbers?

Our base-10 numbers are just a coincidence that the Indians invented and was adopted worldwide. The Sumerians were doing base-12, but the Indians had the convenient zero.


21 posted on 11/23/2013 6:28:38 PM PST by James C. Bennett (An Australian.)
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To: driftdiver

Not prime but sweet.


22 posted on 11/23/2013 6:32:28 PM PST by DManA (rs)
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To: DManA
One is the loneliest number that you’ll ever do.

Two can be as bad as one...

23 posted on 11/23/2013 6:32:29 PM PST by meyer (Who needs gas chambers when you have Obamacare?)
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To: Ramius

http://www.youtube.com/watch?v=LVf5Cr4M-F8


24 posted on 11/23/2013 6:33:45 PM PST by DManA (rs)
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To: Vendome

1, 2, 3, 7, 11, 13, 17, 19, 23, 27, 29, 31, 37, 41, 43,...


25 posted on 11/23/2013 6:33:56 PM PST by meyer (Who needs gas chambers when you have Obamacare?)
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To: meyer

27?


26 posted on 11/23/2013 6:34:58 PM PST by HangnJudge
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To: 17th Miss Regt

This has implications for the security of public key cryptography.
++++++++++
It could. But I’m just guessing.

But a question. If you are right, who gets helped - the code makers or the code breakers?

I’m betting the code breakers but, once again, I’m jus guessing.


27 posted on 11/23/2013 6:35:21 PM PST by InterceptPoint
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To: meyer

1,2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61...


28 posted on 11/23/2013 6:43:39 PM PST by HangnJudge
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To: InterceptPoint

The easier it becomes to predict and find prime numbers the harder it is to encrypt information. Well... OK... The easier it is to DEcrypt information.


29 posted on 11/23/2013 6:43:40 PM PST by Ramius (Personally, I give us one chance in three. More tea anyone?)
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To: HangnJudge
27?

OOps!

My excuse - 3 is a democrat and doesn't count. Therefore, numbers that include 3^3 don't aren't non-prime. Or something like that. :-)

30 posted on 11/23/2013 6:45:05 PM PST by meyer (Who needs gas chambers when you have Obamacare?)
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To: HereInTheHeartland

“I’ll have to put that question on my Match.com profile to ask woman before I talk to them!”

English is hard too.


31 posted on 11/23/2013 6:47:14 PM PST by outofsalt ("If History teaches us anything it's that history rarely teaches us anything")
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To: Diana in Wisconsin

“i liked math, but then it started to get harder...” —Obama


32 posted on 11/23/2013 6:47:59 PM PST by latina4dubya (when i have money i buy books... if i have anything left, i buy 6-inch heels and a bottle of wine...)
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To: InterceptPoint

Code breakers.


33 posted on 11/23/2013 6:49:11 PM PST by 17th Miss Regt
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To: Ramius; aruanan

It’s my lucky number. I didn’t want to share it.


34 posted on 11/23/2013 6:53:17 PM PST by Vendome (Don't take life so seriously-you won't live through it anyway-Enjoy Yourself ala Louis Prima)
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To: Vendome

I hate to break it to ya, but one is not a prime number.


35 posted on 11/23/2013 6:53:54 PM PST by patton (“Really? Have you tried chewing cloves?”)
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To: Scrambler Bob

Outigers by comparison are very small.


36 posted on 11/23/2013 6:55:25 PM PST by ImJustAnotherOkie (zerogottago)
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To: BenLurkin; a fool in paradise

Western Civilization would have been so much better off if it had stayed with Roman numerals.


37 posted on 11/23/2013 6:58:01 PM PST by Revolting cat! (Bad things are wrong! Ice cream is delicious!)
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To: DManA

‘One is the loneliest number that you’ll ever do’

Kind of ironic that it took three to determine that.


38 posted on 11/23/2013 7:04:03 PM PST by Delta Dawn (Fluent in two languages: English and cursive.)
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To: patton
I hate to break it to ya, but one is not a prime number.

Uh... Whut?

39 posted on 11/23/2013 7:04:46 PM PST by Ramius (Personally, I give us one chance in three. More tea anyone?)
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To: Revolting cat!
Western Civilization would have been so much better off if it had stayed with Roman numerals.

Yah, but long division is a bugger.

40 posted on 11/23/2013 7:06:20 PM PST by Ramius (Personally, I give us one chance in three. More tea anyone?)
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To: Revolting cat!

It’s VI of one or a half XII of the other.


41 posted on 11/23/2013 7:06:40 PM PST by BenLurkin (This is not a statement of fact. It is either opinion or satire; or both.)
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To: Delta Dawn

Just looked at the thermometer - 12 degrees. Gonna be a three dog night tonight.


42 posted on 11/23/2013 7:10:58 PM PST by DManA (rs Jus)
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To: Revolting cat!
eHarmony


43 posted on 11/23/2013 7:16:35 PM PST by Daffynition (*$17,000,000,000,000* Fear the beards! GO SOX!)
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To: patton

The post is a joke not factual....

I’ll try harder next time...


44 posted on 11/23/2013 7:17:51 PM PST by Vendome (Don't take life so seriously-you won't live through it anyway-Enjoy Yourself ala Louis Prima)
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To: James C. Bennett
Our base-10 numbers are just a coincidence that the Indians invented and was adopted worldwide. The Sumerians were doing base-12, but the Indians had the convenient zero.

Most ancient cultures used base-10 in one way or another. Many used different symbols for ones, tens, hundreds, etc. like Roman numerals, but the grouping of powers of ten was there. The Sumerians used base 60, with each place value of 60s, split as tens and ones.

Wikipedia, Babylonian numerals
Wikipedia, Egyptian numerals
Classic Greek numbers

45 posted on 11/23/2013 7:21:13 PM PST by KarlInOhio (Everyone get online for Obamacare on 10/1. Overload the system and crash it hard!)
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To: Ramius

“A prime number (or a prime) is a natural number greater than 1 that has no positive divisors other than 1 and itself. “

“The fundamental theorem of arithmetic establishes the central role of primes in number theory: any integer greater than 1 can be expressed as a product of primes that is unique up to ordering. The uniqueness in this theorem requires excluding 1 as a prime because one can include arbitrarily many instances of 1 in any factorization, e.g., 3, 1 × 3, 1 × 1 × 3, etc. are all valid factorizations of 3.”

http://en.wikipedia.org/wiki/Prime_number#Definition_and_examples


46 posted on 11/23/2013 7:22:56 PM PST by patton (“Really? Have you tried chewing cloves?”)
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To: BenLurkin; a fool in paradise
Take a look at this Greek number!
47 posted on 11/23/2013 7:25:19 PM PST by Revolting cat! (Bad things are wrong! Ice cream is delicious!)
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To: Daffynition
Oooo, a phone number with imaginary digits. I've gotten those before.
48 posted on 11/23/2013 7:26:36 PM PST by KarlInOhio (Everyone get online for Obamacare on 10/1. Overload the system and crash it hard!)
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To: KarlInOhio

I don’t see a sqrt(-1)...


49 posted on 11/23/2013 7:29:17 PM PST by HangnJudge
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To: BenLurkin

“Numba. Numba. Too many numba.” —Vic Ten


50 posted on 11/23/2013 7:31:09 PM PST by onedoug
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