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标题: A fast introduction to these numbers.2, 3, 5, 7, 11, 13, 17, 19, 23, 29 [打印本页]

作者: 厚积薄发    时间: 2013-7-9 10:57
标题: A fast introduction to these numbers.2, 3, 5, 7, 11, 13, 17, 19, 23, 29
2, 3, 5, 7, 11, 13, 17, 19, 23, 29

These are the first 10 prime numbers! An integer n is a prime number if it has no divisors (except for 1 and itself). Another way to say this is that the integer cannot be broken into pieces of equal size. Or you could say that for a prime number the equation n=a*b can never be true, where a and b are integers.

Beginners sometimes get confused by the term "divisor". When mathematicians say that one integer divides another integer they mean with no remainder.

Prime numbers are fundamental numbers due to this fact..

Any integer greater than 2 can be written as a product of prime numbers. So you can think of prime numbers as the "building blocks" from which all numbers are made.

Here are the first 100 prime numbers. The list never stops, and there is no known formula that produces the prime number sequence. Primes are indeed mysterious numbers!

2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97 101 103 107 109 113 127 131 137 139 149 151 157 163 167 173 179 181 191 193 197 199 211 223 227 229 233 239 241 251 257 263 269 271 277 281 283 293 307 311 313 317 331 337 347 349 353 359 367 373 379 383 389 397 401 409 419 421 431 433 439 443 449 457 461 463 467 479 487 491 499 503 509 521 523 541

Oh, one more thing. It appears that every even integer greater than 2 can be written as the sum of just two prime numbers, but this incredibly simple proposition has never been proven!

For example: 10=5+5=7+3, and this also shows that there is more than on way an even integer can be written as the sum of two primes. For any even integer n greater than 2 let's define the function g(n)..

g(n)=the number of different ways n can be written as the sum of two primes.

For example, g(10)=2, g(20)=3, g(100)=6

Maybe the function g has some deep significance. Who knows.


作者: 912437789    时间: 2013-10-31 22:07
很有意思啊
作者: ″﹏_尛_宇°    时间: 2013-12-6 07:43
是什么呢。。。。。。
作者: jzhpuhpu    时间: 2013-12-18 11:14
很有意思,想法找到其中的规律估计很难
作者: 1300611016    时间: 2013-12-21 09:33
本帖最后由 1300611016 于 2013-12-23 09:47 编辑

你说的应该是·同偶质数对·存在·同偶质数对分布表·见http://ishare.iask.sina.com.cn/f/33766459.html
作者: 1300611016    时间: 2013-12-21 09:39
jzhpuhpu 发表于 2013-12-18 11:14
很有意思,想法找到其中的规律估计很难

不难,工具,时间,努力
作者: 1300611016    时间: 2013-12-21 13:05
详细见http://www.madio.net/thread-202136-1-1.html
作者: 空木葬花    时间: 2014-3-18 16:42
非常感谢楼主的福利1
作者: 专属雨天    时间: 2014-7-3 17:39
看不懂啊看不懂
作者: 专属雨天    时间: 2014-7-7 18:17
顶---------------
作者: 空空zq    时间: 2014-7-30 09:57
what are  you talking about?
作者: Zhang_Jiaxing    时间: 2015-1-5 17:37
Maybe "more than on way" should be esplaced with "more than one way".





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