圆周率近似问题

wayne

$\sqrt{10}-\frac{29}{6^4+85+3*7}$ $\sqrt{10}-\frac{58+3}{7^4+2^9+6^2}$

wayne

$\sqrt{17}-1+\frac{11}{595} =3.1415930205756437431$ $\sqrt{20}-\frac{4}{3}+\frac{1}{358} = 3.1415959177556315343$ $\sqrt{20}-\frac{4}{3}+\frac{7}{2509} =3.1415925778240778650$ $\sqrt{22}-\frac{3}{2}-\frac{27}{553}= 3.1415911666950389578$ $\sqrt{27}-2-\frac{3}{55} = 3.1416069681611773351$ $\sqrt{29}-\sqrt{5}-\frac{4}{533} = 3.1415921392031946350$ $\sqrt{29}-\sqrt{5}-\frac{27}{3598} =3.1415926606519461303$ $\sqrt{31}-\sqrt{6}+\frac{61}{2616} =3.1415926628602994814$ $\sqrt{40}-\sqrt{10}-\frac{61}{2949} =3.1415926822097492879$ $\sqrt{51}-4+\frac{5}{30446} = 3.1415926537284244577$ $\sqrt{53}-\sqrt{17}-\frac{9}{584}= 3.1415933047587481322$ $\sqrt{53}-\sqrt{17}-\frac{79}{5126} =3.1415926366632478890$ $\sqrt{57}-3-\sqrt{2}+\frac{9}{1507}= 3.1415930029573759490$ $\sqrt{58}-\sqrt{20}-\frac{1}{489}= 3.1415921610892777681$ $\sqrt{58}-\sqrt{20}-\frac{17}{8315} =3.1415926529689590793$ $\sqrt{60}-\sqrt{21}-\frac{8}{367}= 3.1415926323363779600$ $\sqrt{62}-\sqrt{9}-\sqrt{3}-\frac{1}{2744}= 3.1415926349560532597$ $\sqrt{63}-\sqrt{23}+\frac{1}{5874} =3.1415926516243276810$ $\sqrt{68}-\sqrt{26}-\frac{5}{893} =3.1415926334991992035$ $\sqrt{79}-\sqrt{33}-\frac{2}{981} =3.1415930347938700781$ $\sqrt{79}-\sqrt{33}-\frac{5}{2452} =3.1415926190646727514$ $\sqrt{82}-\sqrt{35}+\frac{5}{2186} =3.1415926377459433104$ $\sqrt{82}-\sqrt{12}-\sqrt{6}-\frac{1}{4972} =3.1415926539091629437$ $\sqrt{89}-\sqrt{8}-\sqrt{12}+\frac{1}{7130} =3.1415926446270770790$ $\sqrt{92}-\sqrt{16}-\sqrt{6}-\frac{5}{8611} =3.1415926511886783581$ $\sqrt{94}-\sqrt{43}+\frac{3}{817} =3.1415931611548923819$ $\sqrt{97}-\sqrt{45}+\frac{5}{5326} =3.1415926601341370595$ $\sqrt{97}-\sqrt{28}-\sqrt{2}-\frac{5}{3228}= 3.1415926705775955304$ $\sqrt{97}-\sqrt{20}-\sqrt{5}+\frac{5}{5326}= 3.1415926601341370595$ $\sqrt{99}-\sqrt{19}-\sqrt{6}+\frac{1}{9349}= 3.1415926480539320236$ $10-\sqrt{47}-\frac{7}{2543} = 3.1415927452536943729$ $\sqrt{112}-\sqrt{23}-\sqrt{7}+\frac{1}{5874} =3.1415926516243276810$ $\sqrt{117}-\sqrt{19}-\sqrt{11}+\frac{1}{2162}= 3.1415926271859962356$ $\sqrt{129}-\sqrt{24}-\sqrt{11}-\frac{2}{3227} =3.1415926449939445695$ $\sqrt{130}-\sqrt{23}-\sqrt{12}-\frac{1}{4377} =3.1415926455543852149$ $\sqrt{138}-\sqrt{25}-\sqrt{13}-\frac{1}{5097} =3.1415926551672278546$ $\sqrt{137}-\sqrt{15}-\sqrt{22}+\frac{2}{6853}= 3.1415926476772508713$ $\sqrt{140}-\sqrt{16}-\sqrt{22}-\frac{1}{6616}= 3.1415926576454518655$ $\sqrt{141}-\sqrt{49}-\sqrt{3}-\frac{2}{2863} =3.1415927115333081912$ $\sqrt{146}-\sqrt{19}-\sqrt{21}+\frac{2}{93815}= 3.1415926536505287967$ $\sqrt{154}-\sqrt{20}-\sqrt{23}-\frac{2}{17619}= 3.1415926538582500393$ $\sqrt{167}-\sqrt{70}-\sqrt{2}-\frac{1}{2265} =3.1415926545024821809$ $\sqrt{177}-\sqrt{10}-\sqrt{49}-\frac{2}{7565}= 3.1415926600686048101$

无心人

好厉害 11#第二个违反规则 第一个结果是 (21:57) gp > sqrt(10) - 29 / (6^4 + 85 + 3*7) %1 = 3.141592924077081186492474144

wayne

$6-\root{3}{3}-\sqrt{2}-\frac{3}{1543}=3.1415926028995354542$ $\sqrt{60}-\root{3}{3}-\sqrt{10}+\frac{1}{6528}= 3.1415926482135558600$ $\sqrt{80}-\root{3}{3}-\sqrt{19}-\frac{11}{7186}= 3.1415926419067128099$ $\sqrt{82}-\root{3}{3}-\sqrt{20}+\frac{4}{6745}= 3.1415926447058921576$ $\sqrt{86}-\root{3}{3}-\sqrt{22}+\frac{4}{6255}= 3.1415926537741383976$ $\sqrt{119}-\root{3}{3}-\sqrt{40}-\frac{1}{3179}= 3.1415926596631422063$ $\sqrt{130}-\root{3}{2}-7-\frac{1}{4157}= 3.1415926430017267373$ $\sqrt{146}-\root{3}{2}-\sqrt{59}-\frac{1}{2587}= 3.1415926277058491352$ $\sqrt{187}-\root{3}{2}-\sqrt{86}+\frac{3}{8879}= 3.1415926616736904445$ $\sqrt{74}-\root{3}{4}-\sqrt{15}-\frac{1}{2872}= 3.1415926794519686291$ $\sqrt{89}-\root{3}{5}-\sqrt{21}+\frac{1}{6129}= 3.1415926491775339389$ $\sqrt{78}-\root{3}{6}-\sqrt{15}-\frac{2}{31117}= 3.1415926537400690811$ $\sqrt{107}-\root{3}{6}-\sqrt{29}-\frac{1}{4941}= 3.1415926446414265226$ $\sqrt{75}-\root{3}{7}-\sqrt{13}-\frac{1}{5589}= 3.1415926567237711794$ $\sqrt{94}-\root{3}{9}-\sqrt{20}-\frac{7}{4524}= 3.1415926335097333183$ $\sqrt{158}-\root{3}{9}-\sqrt{54}+\frac{1}{2936}= 3.1415926380301371785$ $\sqrt{60}-\root{3}{10}-\sqrt{6}-\frac{1}{2224}= 3.1415926193120021662$ $\sqrt{66}-\root{3}{10}-\sqrt{8}+\frac{2}{4807}= 3.1415926497705139594$ $\sqrt{106}-\root{3}{10}-5+\frac{3}{7553}= 3.1415926441233940997$ $\sqrt{70}-\root{3}{11}-3-\frac{1}{973}= 3.1415924255422518805$ $\sqrt{117}-\root{3}{12}-\sqrt{29}-\frac{3}{6412}= 3.1415926614121850158$ $\sqrt{119}-\root{3}{12}-\sqrt{30}-\frac{3}{6446}= 3.1415926495751245708$ $\sqrt{108}-\root{3}{13}-\sqrt{24}-\frac{2}{5025}= 3.1415926621759013191$ $\sqrt{134}-\root{3}{13}-\sqrt{37}-\frac{1}{6801}= 3.1415926475708365909$ $\sqrt{148}-\root{3}{15}-\sqrt{43}-\frac{2}{7097}= 3.1415926527488072884$ $\sqrt{83}-\root{5}-\sqrt{3}{52}-\frac{1}{3820}= 3.1415926647225489007$

无心人

12#重复的多啊 看来突破到3.14156265不容易啊

wayne

这些都是根据密率得来的公式 根据这些原型,应该有机会凑出答案的

wayne

还有分数形式的 等我有时间在整理,然后再拼凑答案

winxos

15# 无心人 无心人版主这个题目挺有意思的。

winxos

17# wayne wayne工作完成了么^_^

winxos

14# wayne wayne提供了一个非常好的思路，适当的调一调参数估计会比较接近。