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Two major basic theoretical findings
中国重庆 退休教师 佘赤求 著 dianfumakesi@163.com
摘要 作者运用自己首创科学周全的研究方法,宏观高瞻远瞩探讨进攻世界难题哥德巴赫猜想成败原因,微观条分缕析前进障碍及其扫除法,创新发现两项重大基础理论。
1• 研究背景:两百多年了,许多优秀数学家进攻哥德巴赫猜想,都功亏一篑。其论证哥德巴赫猜想失败不可抗拒的客观原因是“无米下锅”。作者探讨数十年,终于确认此“米”之一,就是全新的的知识,或曰数学基础概念、理论。从而相应探索,获得一连串成果。
2. 研究目的:找米下锅,攻克哥德巴赫猜想。
3• 主要成果:《N值区间定理》与《连续合数定理》
4• 研究思路:宏观确定探索范围:自然数列。微观分析其内容、构成形式、规律。
5• 研究方法:“排列组合科学研究法‘’,或曰”分解剖析客观,聚合复原客观法‘’。
发现新知识的正确方法,就是从客观实际出发进行基础理论研究,周全解析自然数列排列、构成形式、规律及其“所以然”,总结、升华、复原。
6• 成果功用价值:基础理论是科学之源泉和种子,没有源泉,江河断流。没有种子,颗粒无收。没有基础理论的突破、发现,就没有科学的进展。
这两个定理看似简单常识,众所周知其然(熟视无睹,未知未究其所以然),其实是自然数列隐藏了不止千年的奥秘!
6•1 现实功用价值:这两个定理揭示了两个自然数的排列、构造形式、规律,突破、推进了数学基础理论研究。
6•2 运用定理可以证实已有的全部求计素数个数、“1+1”式数公式都隐藏了大小不一的“N值区间误差”,连“绝对准确无误的”“容斥公式”、“素数定理”都不例外。证据见《数学大地震 8个著名定理都隐藏了重大失误》。
6•3 没有这两个定理,根本无法攻克著名数学家哈代说的解答哥德巴赫猜想的“细节”障碍。反之,大功告成。证据见确证哥德巴赫猜想之《“1+1”式数“区间下限”公式》。
6•4 由定理可以直接得出多个推论。
6•5 预测应用前景:运用定理可能证明《格林姆猜想》•••
7• 成果评价:定理系作者独创原创首创;现实应用颇广,功用价值巨大,前景不可估量,领先世界。
8• 成果真假:作者自以为是,因为“解析客观复原客观”的研究方法决定了,结果是客观实际的录像、透视、扫描,也就是客观真相客观真理客观事实。认知失误而否定之可能性小,因为是常识,太简单明白了。利欲熏心的论敌必然无理无据否定扼杀。
是非不由作者也不由论敌一锤定音,由行家、时间盖棺论定。
Abstract The author uses his own scientific and comprehensive research methods to explore the reasons for the success and failure of Goldberg's conjecture in the offensive world. The microscopic analysis of the obstacles to advancement and its sweeping method, and the discovery of two major basic theories.
1. Research Background: For more than two hundred years, many outstanding mathematicians have attacked Goldbach's conjecture and have fallen short. The objective reason for his argument against the irresistible failure of Goldbach’s conjecture is that “there is no rice to cook.” The author has explored for decades and finally confirmed that one of the "meters" is a new knowledge, or a basic concept and theory of mathematics. So explore accordingly and get a series of results.
2. Research purposes: ‘‘Looking for the pot ‘’, conquering Goldbach’s conjecture.
3. Main results: "N-value interval theorem" and "continuous conjunction theorem"
4. Research ideas: Macroscopically determine the scope of exploration: natural series. Microscopic analysis of its content, composition and law.
5. Research methods: “Arrange the combined scientific research method ‘, or 曰” to analyze the objective and aggregate the objective method ’’.
The correct way to discover new knowledge is to conduct basic theoretical research from the objective reality, and comprehensively analyze the natural sequence arrangement, composition form, law and its "so", summarizing, sublimating and restoring.
6. Achievement value: The basic theory is the source and seed of science. There is no source, and the river is cut off. Without seeds, the particles are not collected. Without breakthroughs and discoveries in basic theory, there is no scientific progress.
These two theorems seem to be simple common sense. It is well known (there is no such thing as an innocent, unknown is not the reason), in fact, the natural series hides the mystery of more than a thousand years!
6.1 Real utility value: These two theorems reveal the arrangement, structure and law of two natural numbers, and break through and advance the basic theory of mathematics.
6•2 Using the theorem, it can be confirmed that all the existing prime numbers and “1+1” formulas hide the “N-value interval error” of different sizes, even the “absolutely accurate and correct” “rejection formula”. "The prime number theorem" is no exception. The evidence can be found in the "Major Earthquakes, 8 famous theorems have hidden major mistakes."
Without these two theorems, it is impossible to overcome the "details" of the famous mathematician Hardy's answer to the Goldbach conjecture. On the contrary, you are done. The evidence can be found in the "lower limit" formula of the "1+1" formula for Goldbach's conjecture.
6•4 The inference can directly derive multiple inferences.
6.5 Prediction application prospects: The application of the theorem may prove the "Grim's Conjecture"...
7. Evaluation of results: The theorem is the author's original original creation; the practical application is quite wide, the utility value is huge, the prospect is immeasurable, leading the world.
8. The true and false results: The author is self-righteous, because the research method of “analytical objective restoration and objectiveness” is determined. The result is objective and practical video, perspective, and scanning, that is, objective truth, objective truth and objective facts. Cognitive errors and the possibility of negation are small, because it is common sense, too simple to understand. The arrogant enemy of the greed will inevitably be denied to kill.
The right and wrong are not allowed to be hammered by the author, and the experts and time cover it.
关键词 N值区间 连续合数 定理 证明
Key words N-value interval continuous combination theorem proof
1• N值区间定理 每个素数制约统辖自己的平方至与己相邻的后面一个素数平方的所有自然数,形成相对独立的一个封闭值域区间。任意长自然数列N,由N平方根内的素数个数个这样的区间组成。
1•1 证明 两个相邻素数各自平方之间的连续自然数,共有一个自身平方根内的最大素数Pr,例如Pr=11=〉(11×11)≤N≤(13×13-1)=〉这些自然数,除开末个数外就是“诸侯王素数11统辖的”N值的“诸侯国”的“有界区间”。有界区间根据素数序号命名,如例子区间叫第6个“N值区间”。
前x(1≤x≤r)项素数=〉前r个“N值区间”,Pr• r=N=〉“前N项自然数列”=“r个N值区间”=〉自然数列N有r+1个素数统辖的区间(1非素数,1、2、3为N的特殊起始区间。本文把1视为素数,则区间定义已涵盖,则有r个区间。1号区间麻雀虽小,却五脏俱全。既有奇数、偶数,合数、素数,又有非合数非素数的自然数“开国皇帝”1。其它大小区间,哪怕大得难于想象,少了1)。即:
第一个N值区间:1,2,3。
第二个N值区间:4,5,6,7,8。
第三个N值区间:9,10,11•••23,24。
第四个N值区间:25,26,27•••47,48。
第五个N值区间:49,50,51•••119,120。
•••
第r个N值区间:Pr• r及其至N的所有自然数。
Pr• r=N时,该N值区间只有它1个数。
每个自然数区间第一个数,就是该区间的“N值区间下限”。不言而喻,偶数列由r个(1非素数除外)“2n值区间”构成。每个偶数区间的第一个数就是该区间的“2n值区间下限”。
1•2 由此观之,“N值区间定理”的定义,是“N值区间”,r个“N值区间”两个新名词和“自然数列”的概念和内容的“集合”。证毕。
1•3 推论 “前N项自然数列”=“r个N值区间”=〉第r个N值区间必有第(r+1)位素数。不然没有第(r+1)个N值区间,与自然数无穷矛盾=〉素数任意多。
2• 连续合数定理 令n、x、 k为自然数,2≤x≤k k!表自然数前k项的积,则{n=k!+x}为x个连续合数列,且其素因子1≤j≤k≤x(注意,‘且’句本是‘推论’,这里改作提示格林姆猜想研究者:j特指、强调不大于x的素数集合,别种连续合数有大于x的素因子未议)。
例如 2≤x≤5 由n=k!+x分别得:
3!+2=2x3+2=8
3!+3=2x3+3=9
4!+2=2x3x4+2=26
4!+3=2x3x4+3=27
4!+4=2x3x4+4=28
5!+2=2x3x4x5+2=122
5!+3=2x3x4x5+3=123
5!+4=2x3x4x5+4=124
5!+5=2x3x4x5+5=125
2•1 证明 2≤x≤k=>x | k! xlx=>x | (k!+x),{k!+x}为x-1个连续合数 。 2≤x≤k=>1≤j≤k≤x
2•2•1 推论 任意改变k!的因数(减小时,素因子指数不能为0),定理依然成立。
例如 改变k=5例的因数2为2×2:
5!+2x2=2x2x3x4x5+2=242
5!+2x2=2x2x3x4x5+3=243
5!+2x2=2x2x3x4x5+4=244
5!+2x2=2x2x3x4x5+5=245
2•2•2 推论 k、x任意大,k!的因数可以任意改变=>自然数内的连续合数列任意多、项数非无穷大任意多。
2•2•3 推论 改令k为素数,定理、推论仍然成立。
2•2•4 推论 此推论非常鲜明。因为没有它就不可能解答沸沸扬扬的“格林姆猜想”的另一个问题解读,本人在哥德巴赫猜想吧讨论时,许诺把证明权留给网友,所以略。
2•2•5 推论 不言而喻,两相邻奇素数差为2n,n有限“任意大”。
2•2•6 推论 相邻两素数q、p,p-q=d的最大差小于q。
2•2•7 推论 素数出现的真实概率•••另文讨论。
2•3 两个定理的功用价值 它们揭示了两个自然数的排列、构造形式、规律,突破、推进了数学基础理论研究。证实了已有的全部求计素数个数、“1+1”式数公式都隐藏了大小不一的“N值区间误差”,连“准确的”“容斥公式”、“素数定理”都不例外;没有这两个定理,根本无法攻克著名数学家哈代说的解答哥德巴赫猜想的“细节”障碍。证据见《数学大地震 8个著名定理都隐藏了重大失误》及“1+1”式数“区间下限”公式。
2.4 结论:两个定理得证,奠定了攻克哥德巴赫猜想的知识基础,发展了数论基础理论。
参考资料 独自发现,没有可以引用的文献。
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