世界近代三大数学难题简洁的直观证明（文本格式2017年网络普及版）

沟道效应

`````(282∈wP+)=139×9/91*2`≈27`∈19+263、31+251、41+241、43+239、53+229、59+223、
5势`````71+211、83+199、89+193、101+181、109+173、131+151、151+131、173+109、181+101、
区`````193+89、199+83、211+71、223+59、229+53、239+43、241+41、251+31、263+19````少3对
间```(284∈wP+)=140×9/91`≈13`∈43+241、61+223、73+211、103+181、127+157
`````````````````````````````````157+127、181+103、211+73、223+61、241+43````````少3对
`````(286∈wP+)=141×9/91*120/99≈16`∈17+269、23+263、29+257、47+239、53+233、
`````````````59+227、89+197、107+179、113+173、137+149、149+137、173+113、
`````````````179+107、197+89、227+59、233+53、239+47、257+29、263+23、269+17`````多4对
末```(288∈wP+)=142×9/91*2`≈28`∈17+271、19+269、31+257、37+251、47+241、59+229、
````````````61+227、89+199、97+191、107+181、09+179、131+157、137+151、139+149、
````````````1149+139、151+137、157+131、179+109、181+107、191+97、199+89、
``````````````227+61、229+59、241+47、251+37、257+31、269+19、271+17`````````````无误差

沟道效应

按5势系数继续进行计算，当有
G (290)=143×9/91*4/3≈18，但实际上290属于第6势区间偶数，计算数对应缩小为16，
其差别，可见于第6势区间（17^2与19^2区间）的第一个G (290)的实际计算——

6势` G (290)=143×135/1547*4/3``≈16`∈19+271、49+241、61+229、67+223、79+211
区间：`````````````````````````97+193、109+181、127+163、139+151、151+139
```````````````````````````````163+127、181+109、193+97、211+79、223+67
```````````````````````````````229+61、241+49、271+19````````````````````多2对
验证到此，就像验证二项式公式一样，用数学归纳法得到的函数性质的公式，实际上就已无质疑可言了。

沟道效应

````总之，G(2N)的量，越来越多啦，就把它们当成小学生们的算术练习题吧，无兴趣了就止步。
但问题又来了：k∏L是递缩的，但为什么验证的结果，由(3)计算的G(2N)的下界值却成线性增多
呢？其实，只要我们对计算式——//
  kP^2＞2N＞ k+1P^2，
``````````````````````k```````2``````Q```````ivP-1
(2N∈wP+) ` =`(N-2) `×` ∏`（1－ ——）×` ∏``（1－ ———）＿(6) //
````````````````````1vP∈3``` vP````ivP|2N`````ivP-2
再作更深入的解析，就定能认知其中的奥妙。——这是因为(N-2)的N值增长与k∏1vP∈3＿（1－1/ vP）
的递缩，皆以kP为基础，然前者N作大幅度增加= kP^2+1，而后者k∏1vP者仅作微量变小=kP-2/kP
（通俗地形容，简直是察觉不出来的微小递缩变化）；换言之，
````随k的推进，N成倍变大，k∏L仅作kP-2/ vP微量变小，故得k越大，G(2N)的下界值成线性增多。

沟道效应

````若说进行更大k势力的验证就无新的发现，那也不尽其然，例如，为了表现有序偶数2N含vP作
质因数的规律性，我们变换一下验证登记表的内容，将又有一个很有兴趣的发现，发现所谓3x+1猜想
成立的内在原因，与“有序偶数2N含vP作质因数的规律性”密切相关。为此，本文下面我们就来推
出16势区间诸连续偶数的wP+验证新型性登记表如下——

沟道效应

区间∣2N含奇质因数3至59的谱性排列显示表```````∣N-2 ∣计算式∣据vP因数∣wP+```∣wP+``∣计
2N``∣````````````````````````````````````∣`的∣的下界∣得`到`的`∣的计``∣`的```∣算
的``∣`5```11``17```23``31``41```47```59``∣有序∣恒定系∣上`浮`增`∣算取``∣实迹``∣误
数列`3```7```13``19```29``37```43```53````∣数列∣数`值`∣量`比`分`∣整值``∣对数``∣差
3482```````````````````````````````````````1739×0.0474`````````````≈82…``=85````-3
3484`````````13````````````````````````````1740×0.0474`*`12/11`````≈89…``=88````+1
3486`3```7`````````````````````````````````1741×0.0474`*`12/5``````≈198…`=192```+6
3488```````````````````````````````````````1742×0.0474`````````````≈82…``=80````+2
3490```5```````````````````````````````````1743×0.0474`*`4/3```````≈110…``=108```+2
3492`3`````````````````````````````````````1744×0.0474`*`2`````````≈165…``=156```+9
3494```````````````````````````````````````1745×0.0474`````````````≈82…```=82````0
3496````````````19`23``````````````````````1746×0.0474`*`39/35`````≈92…```=94```-2
3498`3`````11``````````````````````53``````1747×0.0474`*`1040/459``≈187…``=190``-3
3500```5`7`````````````````````````````````1748×0.0474`*`24/15`````≈132…``=122``+10

沟道效应

3502```````````17``````````````````````````1749×0.0474`*`16/15``````≈88…```=98```-10
3504`3`````````````````````````````````````1750×0.0474`*`2``````````≈165…``=156``+9
3506```````````````````````````````````````1751×0.0474``````````````≈82…```=73```+9
3508```````````````````````````````````````1752×0.0474``````````````≈83…```=84```-1
3510`3`5`````13````````````````````````````1753×0.0474`*`96/33``````≈241…``=230``+11
3512```````````````````````````````````````1754×0.0474``````````````≈83…```=74```+9
3514`````7`````````````````````````````````1755×0.0474`*`6/5````````≈99…```=92```+7
3516`3`````````````````````````````````````1756×0.0474`*`2``````````≈166…``=162``+4
3518```````````````````````````````````````1757×0.0474``````````````≈83…```=83````0
3520```5```11``````````````````````````````1758×0.0474`*`40/27``````≈123…``=132``-9

沟道效应

3522`3`````````````````````````````````````1759×0.0474`*`2``````````≈166…``=164``+2
3524```````````````````````````````````````1760×0.0474``````````````≈83…```=88```-5
3526````````````````````````41`43``````````1761×0.0474`*`1680/1599 ``≈87…```=92```-5
3528`3```7`````````````````````````````````1762×0.0474`*`12/5```````≈200…``=200```0
3530```5```````````````````````````````````1763×0.0474`*`4/3````````≈111…``=108``+2
3532```````````````````````````````````````1764×0.0474``````````````≈83…```=80```+3
3534`3````````````19````31`````````````````1765×0.0474`*`1080/493```≈183…``=180``+3
3536`````````13`17`````````````````````````1766×0.0474`*`192/165````≈97…```=92```+5
3538``````````````````29```````````````````1767×0.0474`*`28/27``````≈86…```=90```-4
3540`3`5```````````````````````````````59``1768×0.0474`*`464/171````≈227…``=226``+1

沟道效应

3542`````7`11```````23`````````````````````1769×0.0474`*`1320/945```≈117…``=118``-1
3544```````````````````````````````````````1770×0.0474`````````````≈83…````=78```+5
3546`3`````````````````````````````````````1771×0.0474`*`2``````````≈167…``=168``-1
3548```````````````````````````````````````1772×0.0474`````````````≈83…````=76```+7
3550```5```````````````````````````````````1773×0.0474`*`4/3````````≈112…``=112```0
3552`3````````````````````37```````````````1774×0.0474`*`72/35``````≈173…``=172```+1
3554```````````````````````````````````````1775×0.0474`````````````≈84…````=85```-1
3556`````7`````````````````````````````````1776×0.0474`*`6/5````````≈101…```=98```+3
3558`3`````````````````````````````````````1777×0.0474`*`2``````````≈168…``=166```+2
3560```5```````````````````````````````````1778×0.0474`*`4/3```````  ≈112…``=116```-4

沟道效应

3562`````````13````````````````````````````1779×0.0474`*`12/11``````≈92…``=108``-16
3564`3`````11``````````````````````````````1780×0.0474`*`20/9```````≈187…`=192``-5
3566```````````````````````````````````````1781×0.0474``````````````≈84…``=89```-5
3568```````````````````````````````````````1782×0.0474``````````````≈84…``=88```-4
3570`3`5`7`````17``````````````````````````1783×0.0474`*`768/225````≈281…`=288``-7
3572`````````````19``````````````47````````1784×0.0474`*`828/765````≈91…``=88```+3
3574```````````````````````````````````````1785×0.0474``````````````≈84…``=87```-3
3576`3`````````````````````````````````````1786×0.0474*2````````````≈169…`=178``-9
3578```````````````````````````````````````1787×0.0474``````````````≈84…``=85```-1
3580```5```````````````````````````````````1788×0.0474*4/3``````````≈113…`=116``-3

沟道效应

3582`3`````````````````````````````````````1789×0.0474*2````````````≈170…`=156``+14
3584`````7`````````````````````````````````1790×0.0474*6/5``````````≈101…`=98```+3
3586```````11``````````````````````````````1791×0.0474*10/9`````````≈94…``=100``-6
3588`3```````13`````23`````````````````````1792×0.0474*528/231``````≈194…`=198``-4
3590```5```````````````````````````````````1793×0.0474*4/3``````````≈113…`=108``+5
3592```````````````````````````````````````1794×0.0474``````````````≈85…``=80```+5
3594`3`````````````````````````````````````1795×0.0474`*`2``````````≈169…`=178``-9
3596``````````````````29`31````````````````1796×0.0474`*`840/783````≈91…``=86```+5
3598`````7`````````````````````````````````1797×0.0474`*`6/5````````≈102…`=110``-8
3600`3`5```````````````````````````````````1798×0.0474`*`8/3````````≈227…`=232``-5