简略证明哥德巴赫猜想成立

时空伴随者 · 发表于 2026-9-24 10:26

qhdwwh 发表于 2026-9-11 09:29
AI智能回答：
构造性证明：由于质数分布无规律，我们无法给出一个通用方法，对于任意偶数 N，都能快速找到 ...

抛砖引玉，我先给出一百组120位的孪生素数，请楼主给出100位的孪生素数即可！
2026-09-24 10:19:52
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用时 17.36773 秒

qhdwwh · 发表于 2026-9-24 12:19

希尔伯特的“我们必须知道，我们必将知道”体现了对数学知识确定性的坚定信念，以及对人类理性能够解答任何明确数学问题的信念。这句话是希尔伯特向数学界发出的战斗宣言，旨在为数学建立一个坚实、完备且无矛盾的公理基础，驱散因逻辑悖论而产生的怀疑阴云。这句话的核心并非断言我们无所不知，而是宣告了一种不可动摇的求知意志，关乎人类理性精神的尊严与勇气，是在承认自身局限的同时，依然选择向可知迈进的高贵姿态。
在今天，它超越了数学领域，成为一种面对未知的普遍精神，激励人们保持理性的乐观，相信通过持续的努力，认知的边界终将被拓宽。

WHS筛法和组合数学结合，用强大的计算机数学工具，用初等数学，能解决纯数学哥德巴赫猜想问题。
只要找到自然数区间[2，N]的素数集合（用多项式复杂度的方法，埃拉托斯特尼筛法均可），就可以证明该区间内和区间外（约1.5N）的偶数表示成二个素数之和，即”1+1“的哥德巴赫猜想成立。
只要素数定理正确，欧几里得素数无上限定理正确。用数学方法用实践证明哥德巴赫猜想必然成立。
这充分体现希尔伯特的“我们必须知道，我们必将知道”的宣言是正确的。

qhdwwh · 发表于 2026-9-24 12:42

时空伴随者发表于 2026-9-24 02:26
抛砖引玉，我先给出一百组120位的孪生素数，请楼主给出100位的孪生素数即可！
2026-09-24 10:19:52
1 ( ...

欣赏，佩服你的能力！

qhdwwh · 发表于 2026-9-27 08:16

上面的摘录概述了哥德巴赫猜想研究的现状，哥德巴赫猜想从提出至今已经280年了，成为数学界真正的老生常谈之一。
现在专业人士都避开这个话题，似乎研究哥德巴赫猜想成为了不自觉的禁区，否则，研究者可能会被认为是个疯子，但尽管如此，人们确实在努力，很多人都想证明哥德巴赫猜想。
因为任意给的一个大偶数，可以有很多方法写为二个素数之和，如果有唯一的方式那么你可以找到它，你可以找出它的公式但如果只是随便选一种那么你如何在大海中捞针呢？。
是否有任何已知或猜测的下限，也没有人能够证明出来，但所有这些都很可能成立。所以一直以来它都没有得到证明。
数学家布莱迪在上面谈到的讨论中，做了猜测，事实证明这是个很好的猜测，猜测用WHS筛法可以解决。
我原创的WHS筛法，因为能筛出自然数的素数集合，又能用于，以代数方法解析筛出偶数写为二个素数之和的大海中捞针，因此成为证明哥德巴赫猜想成立的新数学方法，新的数学工具。
应用逻辑推导，可以得到偶数哥德巴赫分拆数的下限表达式，即哥德巴赫猜想确实存在由不等式表达的下限。
WHS筛法，建立在埃拉托斯特尼筛法原理和现代科学计算技术的基础上。没有计算机技术就没有WHS筛法。
有人认为筛法解析数论是泥潭是没有根据的。
WHS筛法，是利用计算机技术的新数学方法，可以说它不落后时代。筛法是研究数论学的新方法，可以用来证明“3X+1”猜想成立，这个猜想在上世纪30年代提出，至今已经有90年了。

2022.5.28，发表（在数学中国论坛）

WHS筛法能给出大于2的任何偶数表示成二个素数之和，即”1+1“的数学确定性，因此能成为证明哥德巴赫猜想成立的数学方法。
素数定理和欧几里得素数无上限定理证明素数客观存在，在人类认知范围内（区间的素数集合）都能证明区间内所有偶数的哥德巴赫分拆数和区间外很大范围的连续偶数，表示成”1+1“的素数对的客观存在，证明这些偶数哥德巴赫猜想成立，这个证明是可以无限延续的，证明可以没有边界。
对于很大的偶数，用WHS筛法能给出大于2的任何偶数表示成二个素数之和，即”1+1“的数学确定性，（每个偶数只要给出一个及以上实例即可）这是能够比较容易做到的。
WHS筛法申明能做到的，需要数学界配合（质疑﹑挑错﹑提出新问题）审查认定，用数据
说话，用事实说话。
欢迎数学界参与，共同解决困扰世界数学界284年的数学难题。

qhdwwh · 发表于 2026-10-1 15:26

WHS筛法通过一个优于多项式时间算法的新数学方法，将哥德巴赫猜想问题转换为NP完全问题。
文字叙述难以正确表达数学含义，实例演示容易认知理解。
由数学界提出质疑（任何大偶数，充分大偶数），由WHS筛法给出”1+1“证明过程。数学界就可以认知理解了。
WHS筛法的应用，原理简单（如埃拉托斯特尼筛法，数理逻辑数学模型，容斥原理等）得到实例非常繁琐（要得到很大，很多的偶数，甚至充分大偶数等），
WHS筛法的应用实例已经有100G表格文件,数学中国论坛每次发帖只有2M.无法发出完整筛法过程。文字叙述难以正确表达数学含义。
数学界可以指出发文错误，WHS筛法可以答疑。
WHS筛法发文，给出实例的数据正确是前提。
对于很大的偶数，用WHS筛法能给出大于2的任何偶数表示成二个素数之和，即”1+1“的数学确定性，（每个偶数只要给出一个及以上实例即可）这是能够比较容易做到的。
正确或错误，世界数学界﹑数学家有能力做出权威认定。

qhdwwh · 发表于 2026-10-2 17:20

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上面给出[5,6001]区间的数理逻辑的数学模型，用WHS筛法，可以筛出[10,6002]区间连续偶数的哥德巴赫分拆数，筛出6002至9000的部分哥猜解证明这些偶数哥德巴赫猜想成立。

qhdwwh · 发表于 2026-10-3 07:08

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1 0
1 0
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1 0
0 0
0 0
1 0
0 1
1 0
0 0
0 0
0 1
0 1
1 0
1 1
0 0
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1 0
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1 0
0 0
1 0
0 1
0 0
0 0
0 0
0 0
1 0
1 0
0 1

qhdwwh · 发表于 2026-10-4 10:07

自然数子区间素数数量 ”1+1“数量区间偶数数量 ”1+1“数量/区间偶数数量
[2,10] 4 7 4 1.8
[2,100] 25 301 49 6.1
[2,1000] 168 14029 499 28.1
[2,10000] 1229 754607 4999 151.0
[2,100000] 9592 45998437 49999 920.0
[2,1000000] 78498 3080928754 499999 6161.9
[2,10000000] 654579 214236506332 4999999 42847.3
[2,100000000] 5761455 16597178977786 49999999 331943.6
[2,1000000000] 50847534 1292735831516810 499999999 2585471.7

重生888@ · 发表于 2026-10-4 10:59

2,1000000000]        50847534        1292735831516810         499999999        2585471.

这个1+1平均数接近10亿的的1+1数对；因为偶数10亿的1+1（0+0）素数对不小于2251451；不大于2251451/0.95=2369948.
楼主的数据是2585471，只能说接近！

qhdwwh · 发表于 2026-10-6 18:32

WHS筛法证明哥德巴赫猜想成立的要点：
1）素数（2,3除外）全部分布在A=6N-1,B=6N+1二个等差数列中，
2）用埃拉托斯特尼筛法或多项式复杂度方法，能够得到全部素数集合和包含素数和相应合数的符合数理逻辑的数学模型，
3）全部偶数分布在三个等差数列中，即C=6N-2,D=6N,E=6N+2中，
4）用WHS三筛法，可以将大于2的全部偶数的哥德巴赫分拆数的解，展示在二维平面的WHS图表上，
用WHS序数和法，一次筛出三个连续偶数，表示成二个素数之和，即”1+1“或偶数的哥德巴赫分拆数，证明哥德巴赫猜想成立，
5）用二面筛子的数理逻辑乘，即数字电路的与门逻辑乘，用容斥原理即1*1=1，1*0=0,0*1=0,0*0=0得到哥猜解的正确答案，
6）每个偶数筛出的答案，都对应二面筛子（用组合数学确定：升序和降序）的等差数列筛，筛出全部筛子组合的答案。
WHS筛法的证明实践：
1）WHS筛法建立在实践基础上，多个数量级的偶数都用实践验证，没有发现错误之处，当然还需要数学界的严格审查，认可。
区间[2,31752001]，做出126个子区间，每个子区间有252000个自然数的数理逻辑模型（数学模型），直到证明10的15次方（1000万亿）的偶数哥猜成立证明。
利用网上公布的RSA-640素数组，证明97位偶数哥猜成立。
这些对具体偶数哥德巴赫猜想成立证明验证，这是证明WHS筛法的正确性。

对于哥德巴赫猜想的证明，人们需要找到素数的数学表达式，但是很长时间没有找到。
数学家认为如果有唯一的方式那么你可以找到它，你可以找出它的公式，但如果只是随便选一种那么你如何在大海中捞针呢？
284年了，人们没有找到唯一的方式，因为证明大于2的任何偶数哥德巴赫猜想成立，素数的数学表达式找不到，偶数的1+1表达式更找不到。
新数学方法，WHS筛法能够在素数的大海中捞针，找到偶数的”1+1“。

在https://www.bilibili.com/哔哩哔哩
注：网站发表的一个视频（文中：布莱迪-哈佛大学教授）
下面是本人2022.5.26，发表在数学中国论坛的文字
一个尚未解决的数论难题：哥德巴赫猜想- Numberphile的摘录：
所以我们在谈论哥德巴赫猜想，数学界真正的老生常谈之一，因此，任意给的一个大数，是有很多方法写为二个素数之和，我与之交谈的某个人说，也许这就是为什么很难，如果有唯一的方式那么你可以找到它，你可以找出它的公式但如果只是随便选一种那么你如何在大海中捞针呢，这是非常具有启发性的。对吧，
在这次小讨论中，没有证明什么，只是做了一个猜测。但事实证明这是个很好的猜测，并且有人将这些东西制成表格，有一种叫做哥德巴赫彗星图，绘制出每一个整数可能写成二个素数之和的方法。而它的增长正如所期望的那样。...我不知道是否有任何已知或猜测的下限，也没有人能够证明出来，但所有这些都很可能成立。所以一直以来它都没有得到证明，人们已经证明了其它事情，人们围绕着它做了其它猜想。我那些做分析数字理论朋友们为证出哥德巴赫猜想拼了老命，这真的是将是一个伟大的奖项，一个伟大的革新。你知道专业人士都避开这个话题，如果我跟你谈起哥德巴赫，你可能会认为我真的在研究它，你可能会认为我是个疯子，但是，因为没有人真正知道如何攻克它，我认为，但尽管如此，人们确实在努力，而且有时在他们的小房间里有时在他们的阁楼上，我相信我的很多朋友都想证明这一点所以秘密地，我发誓我从来没有研究过哥德巴赫猜想对天发誓。

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