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找尋質數之謎

1-60以內的18個質數.
1 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59
         

1  + 59 = 60
53 + 7 = 60
13 + 47 = 60
17 + 43 = 60
41 + 19 = 60
23 + 37 = 60
29 + 31 = 60
5x11+3+2 = 60

根據以上的公式, 應該把1 歸納為質數之一.
如果2也可以是質數, 為何1便不可?


2 是1和0 一起的平衡.
把1加入質數裡,
而把所有0的倍數e.g.10,20,30去掉.
只因在河圖洛書的排列裡是沒有0的倍數.

=========================================

過去我大多數用2D畫面來找尋質數的定式.
當然沒有結果....
然後想到了,
用一面市面常見的3x3x3的六面扭計骰.
每一面用彩虹顏色代表著:
紅 1-9
橙 11-19
黃 21-29
綠 31-39
青 41-49
藍 51-59

然後利用河圖洛書的排列畫在顏色格裡.

紅色
4 9 2
3 5 7
8 1 6

橙色
14 19 12
13 15 17
18 11 16
etc...

用現在日常用的骰子,排出數字顏色的位置.

然後能不能把質數的顏色,有規律地排成一副美麗的圖案,
那是說可以用圖案來表達質數公式.

可以的話用白色的貼紙貼在質數上,
看看高手能不能扭出有趣的質數圖案.
然後利用扭骰的過程, 作為找出圖案的公式?
還是還有其他的方法?
有趣!你自己想出來的嗎?
支持鼓勵每位離教者
有趣!你自己想出來的嗎?
抽刀斷水 發表於 2010/9/17 22:13


對呀!
想到這方式我也很高興呢.
There is a mathematical reason why 1 is not a prime.

http://en.wikipedia.org/wiki/Prime_number
"Primality of one
One of the primary reasons to exclude 1 from the set of prime numbers is the fundamental theorem of arithmetic, which says that every positive integer x can be uniquely written as a product of primes. When x is itself prime, this factorization has only one prime (x itself) in it, and when x = 1 the factorization is the empty product. But if 1 were admitted as a prime, then any integer could be factored in an infinite number of ways. For example, in this case the number 3 could be factored as 1k · 3 = 3 for any integer k.

More generally, in unique factorization domains, every non-zero element is a unique product of prime elements and a unit. The factorization would not be unique if products of units were allowed.

Until the 19th century, most mathematicians considered the number 1 a prime, the definition being just that a prime is divisible only by 1 and itself but not requiring a specific number of distinct divisors. There is still a large body of mathematical work that is valid despite labeling 1 a prime, such as the work of Stern and Zeisel. Derrick Norman Lehmer's list of primes up to 10,006,721, reprinted as late as 1956,[4] started with 1 as its first prime.[5] Henri Lebesgue is said to be the last professional mathematician to call 1 prime.[6] The change in label occurred so that the fundamental theorem of arithmetic, as stated, is valid, i.e., “each number has a unique factorization into primes.”[7][8] Furthermore, the prime numbers have several properties that the number 1 lacks, such as the relationship of the number to its corresponding value of Euler's totient function or the sum of divisors function.[9]"


If you have a systematic way to find prime, you will be the next Nobel prize winner.  It is used in encyption coding.  You will have essentially "break" all the coding and have access to ALL bank account of the world.
1-60質數

1 2 3 5 7 11 13 17 19

23 29 31 37

41 43 47

53 59

60-120 質數

61 67 71 73 79 83 89 97 101
103 107 109 113


120-61 = 59
120-67 = 53
120-71  =49   (為何77不是質數)
120-73  =47
120-79  =41
120-83  =37
120-89  =31
120-97  =23
120-101= 19
120-103= 17
120-107 =13
120-109 =11
120-113 =7

聖經話 " 要原諒人77個7次"

質數是不是要留意77的變異之數?

120-180 質數

180-127  53
180-131  (49)
180-137  43
180-139  41
180-149  31
180-151  29
180-157  23
180-163  17
180-167  13
180-173  7
180-179  1

唯一也是得出49不是質數....
聖經話 " 要原諒人77個7次"

又係最新痛改前非版呀?
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