so prime umbers have patterns?
2007-09-19 20:46:24 · 9 answers · asked by hamada 2 in Science & Mathematics ➔ Mathematics
I read a book from "A New Kind of Science", written by Stephen Wolfram.
Below is the link of this book:
http://www.wolframscience.com
On chapter 4-4, it shows a pattern of prime number. At this moment, there is no formula represent prime number. However, for instance, in a 100 X 100 graph or grid paper, which consist of 10,000 small square and it reprensent a number, starting from number 1 till 10,000. Then you highlight prime number 2, 3, 5, 7 and so on with black color. At the end there is a pattern come out.
You might see more fine pattern when you applying on a bigger size of graph paper. Indeed, programming Mathematica has generated this pattern and showed at this book.
2007-09-19 21:56:08 · answer #1 · answered by cllau74 4 · 0⤊ 0⤋
One can think of following patterns in prime numbers:
( 1 ) By definition, a prime number is not divisible by any number other than itself with integer quotient.
( 2 ) Except 2, all other prime numbers are odd.
( 3 ) Except 3, the sum of digits of a prime number is not divisible by 3.
( 4 ) Except 5, no other prime number ends with 5.
( 5 ) Except 11, the difference of the sum of odd digits and sum of even digits in a prime number is not zero or divisible by 11.
( 6 ) If a number is not divisible by all prime numbers less than its square-root, it is a prime number.
2007-09-19 21:47:42 · answer #2 · answered by Madhukar 7 · 0⤊ 0⤋
No, I don't think so. I have a feeling that this is (or was) one of the big unsolved problems in numerical analysis. It's my understanding that there's really no way to predict what the next prime number will be, which would be the case if there was a real pattern.
2007-09-19 20:55:38 · answer #3 · answered by Yokki 4 · 2⤊ 0⤋
Such as 11 and 13 or 29 and 31. Better yet, the ratio of consecutive prime numbers approaches the golden proportion as they approach infinity.
2007-09-19 20:55:01 · answer #4 · answered by armatrag 1 · 0⤊ 2⤋
Just let me know how and I'll send you a paper that shows the pattern.
johneturner27@yahoo.com
2014-07-08 18:20:01 · answer #5 · answered by Anonymous · 0⤊ 0⤋
Yeah, i think it's called Prime Factorization or something. I had a problem like it a while ago. It basically goes 1,2,3,5,7,etc.
2007-09-19 20:50:56 · answer #6 · answered by Anonymous · 0⤊ 1⤋
Please go to the site of the link below and open links in its Primes revisited section
2014-04-16 22:27:15 · answer #7 · answered by Anonymous · 0⤊ 0⤋
at the start they seem to but they dont
2007-09-19 20:59:30 · answer #8 · answered by SAT 2 · 0⤊ 0⤋
Not that I've heard of
2007-09-19 20:50:08 · answer #9 · answered by MistWing 4 · 2⤊ 0⤋