《数论小火花》

小草

夹逼定理
提出者
拉格朗日

提出时间
1835年

1、函数夹逼定理

f(x)与g(x)在x0处连续且存在相同的极限A，即x→ x0时, lim f(x)=lim g(x)=A,则若有函数k(x)在x0 的某邻域内(如x0∈(x1,x2))，恒有f(x)≤k(x)≤g(x),则当X趋近x0时 ,有lim f(x)≤lim k(x)≤lim g(x)，即A≤lim k(x)≤A

故 lim k(x)=A。

简单地说：函数A>B,函数B>C，函数A的极限是X，函数C的极限也是X ，那么函数B的极限就一定是X，这个就是夹逼定理。[1]

2、数列夹逼定理

夹逼定理的极限定义是：

如果数列{Xn},{Yn}及{Zn}满足下列条件：

(1)当n>N0时，其中N0∈N*，有Yn≤Xn≤Zn，

(2){Yn}、{Zn}有相同的极限a，设-∞

则，数列{Xn}的极限存在，且当 n→+∞，limXn =a。[2]

小草

夹逼定理
提出者
拉格朗日

提出时间
1835年

1、函数夹逼定理

f(x)与g(x)在x0处连续且存在相同的极限A，即x→ x0时, lim f(x)=lim g(x)=A,则若有函数k(x)在x0 的某邻域内(如x0∈(x1,x2))，恒有f(x)≤k(x)≤g(x),则当X趋近x0时 ,有lim f(x)≤lim k(x)≤lim g(x)，即A≤lim k(x)≤A

故 lim k(x)=A。

简单地说：函数A>B,函数B>C，函数A的极限是X，函数C的极限也是X ，那么函数B的极限就一定是X，这个就是夹逼定理。[1]

2、数列夹逼定理

夹逼定理的极限定义是：

如果数列{Xn},{Yn}及{Zn}满足下列条件：

(1)当n>N0时，其中N0∈N*，有Yn≤Xn≤Zn，

(2){Yn}、{Zn}有相同的极限a，设-∞

则，数列{Xn}的极限存在，且当 n→+∞，limXn =a。[2]

小草

【4(q34)^2】
D(2984520)=41084
(ln2984520)^2=222.2767748315
2984520/222.2767748315=13427.0438387567
41084/13427.0438387567=3.0597948806

D(2937796)=10020
(ln2984520)^2=221.8065185560
2937796/221.8065185560=13244.8587134660
10020/13244.8587134660=0.7565199612
【4(q35)^2】
D(3273270)=43574
(ln3273270)^2=225.0390029863
3273270/225.0390029863=14545.3452804324
43574/14545.3452804324=2.9957350039

D(3104644)=10608
(ln3104644)^2=223.4549499578
3104644/223.4549499578=13893.8251338192
10608/13893.8251338192=0.7635046431
【4(q36)^2】
D(4354350)=56891
(ln4354350)^2=233.6827659091
4354350/233.6827659091=18633.5949211325
56891/18633.5949211325=3.0531413955

D(4153444)=13708
(ln4153444)^2=232.2407883764
4153444/232.2407883764=17884.2141771771
13708/17884.2141771771=0.7664860119
【4(q37)^2】
D(4354350)=56891
(ln4354350)^2=233.6827659091
4354350/233.6827659091=18633.5949211325
56891/18633.5949211325=3.0531413955

D(4251844)=14018
(ln4251844)^2=232.9549970044
4251844/232.9549970044=18251.7827678094
14018/18251.7827678094=0.7680345629
【4(q38)^2】
D(4444440)=57591
(ln4444440)^2=234.3092830322
4444440/234.3092830322=18968.2625565852
57591/18968.2625565852=3.0361768680

D(4401604)=14451
(ln4401604)^2=234.0128814366
4401604/234.0128814366=18809.2380768898
14451/18809.2380768898=0.7682926837
【4(q39)^2】
D(4564560)=60707
(ln4564560)^2=235.1264247142
4564560/235.1264247142=19413.2157010778
60707/19413.2157010778=3.1270965581

D(4502884)=14736
(ln4502884)^2=234.7094055313
4502884/234.7094055313=19184.9320644268
14736/19184.9320644268=0.7681027981
【4(q40)^2】
D(4834830)=63128
(ln4834830)^2=236.8938557093
4834830/236.8938557093=20409.2672033376
63128/20409.2672033376=3.0931046848

D(4761124)=15350
(ln4761124)^2=236.4212017219
4761124/236.4212017219=20138.3123227690
15350/20138.3123227690=0.7622287188
【4(q41)^2】
D(5419260)=68139
(ln5419260)^2=240.4195947337
5419260/240.4195947337=22540.8415898988
68139/22540.8415898988=3.0229128637

D(5299204)=16768
(ln5299204)^2=239.7253692559
5299204/239.7253692559=22105.3116591229
16768/22105.3116591229=0.7585507166
【4(q42)^2】
D(6096090)=76090
(ln6096090)^2=244.0830702680
6096090/244.0830702680=24975.4724623325
76090/24975.4724623325=3.0465890130

D(6041764)=18859
(ln6041764)^2=243.8034471308
6041764/243.8034471308=24781.2903020957
18859/24781.2903020957=0.7610176779
【4(q43)^2】
D(6636630)=84638
(ln6636630)^2=246.7448725333
6636630/246.7448725333=26896.7291269825
84638/26896.7291269825=3.1467766806

D(6522916)=20045
(ln6522916)^2=246.2022111489
6522916/246.2022111489=26494.1406072711
20045/26494.1406072711=0.7565823816
【4(q44)^2】
D(6846840)=85946
(ln6846840)^2=247.7254949202
6846840/247.7254949202=27638.8185326084
85946/27638.8185326084=3.1096119358

D(6646084)=20440
(ln6646084)^2=246.7895957042
6646084/246.7895957042=26930.1628418969
20440/26930.1628418969=0.7590002378
【4(q45)^2】
D(6846840)=85946
(ln6846840)^2=247.7254949202
6846840/247.7254949202=27638.8185326084
85946/27638.8185326084=3.1096119358

D(6770404)=20856
(ln6770404)^2=247.3722273887
6770404/247.3722273887=27369.2971578477
20856/27369.2971578477=0.7620217604
【4(q46)^2】
D(7147140)=90159
(ln7147140)^2=249.0785576025
7147140/249.0785576025=28694.3206544740
90159/28694.3206544740=3.1420503411

D(6959044)=21321
(ln6959044)^2=248.2374398286
6959044/248.2374398286=28033.8211867033
21321/28033.8211867033=0.7605456230
【4(q47)^2】
D(8168160)=100898
(ln8168160)^2=253.3112326230
8168160/253.3112326230=32245.5499324681
100898/32245.5499324681=3.1290519222

D(8145316)=24354
(ln8145316)^2=253.2220921508
8145316/253.2220921508=32166.6878699875
24354/32166.6878699875=0.7571186719
【4(q48)^2】
D(8558550)=104491
(ln8558550)^2=254.7995335727
8558550/254.7995335727=33589.3472016818
104491/33589.3472016818=3.1108374739

D(8421604)=25173
(ln8421604)^2=254.2848302634
8421604/254.2848302634=33118.7825529211
25173/33118.7825529211=0.7600822874
【4(q49)^2】
D(8978970)=107736
(ln8978970)^2=256.3327715711
8978970/256.3327715711=35028.5683136285
107736/35028.5683136285=3.0756609587

D(8773444)=26088
(ln8773444)^2=255.5918424868
8773444/255.5918424868=34325.9937979167
26088/34325.9937979167=0.7600071291
【4(q50)^2】
D(8978970)=107736
(ln8978970)^2=256.3327715711
8978970/256.3327715711=35028.5683136285
107736/35028.5683136285=3.0756609587

D(8844676)=26349
(ln8844676)^2=255.8504619732
8844676/255.8504619732=34569.7089299236
26349/34569.7089299236=0.7621990701
【4(q51)^2】
D(10720710)=127810
(ln10720710)^2=262.0412409321
10720710/262.0412409321=40912.3005289764
127810/40912.3005289764=3.1239993437

D(10329796)=29943
(ln10329796)^2=260.8400421858
10329796/260.8400421858=39602.0331596249
29943/39602.0331596249=0.7560975438
【4(q52)^2】
D(10720710)=127810
(ln10720710)^2=262.0412409321
10720710/262.0412409321=40912.3005289764
127810/40912.3005289764=3.1239993437

D(10484644)=30407
(ln10484644)^2=261.3208771181
10484644/261.3208771181=40121.7235898899
30407/40121.7235898899=0.7578687374
【4(q53)^2】
D(11231220)=133240
(ln11231220)^2=263.5495080363
11231220/263.5495080363=42615.2189912381
133240/42615.2189912381=3.1265825485

D(11115556)=31904
(ln11115556)^2=263.2135076173
11115556/263.2135076173=42230.1883388200
31904/42230.1883388200=0.7554785156
【4(q54)^2】
D(11741730)=145183
(ln11741730)^2=264.9947623109
11741730/264.9947623109=44309.2908614708
145183/44309.2908614708=3.2765814387

D(11519236)=32960
(ln11519236)^2=264.3722797764
11519236/264.3722797764=43572.0265745815
32960/43572.0265745815=0.7564486344
【4(q55)^2】
D(12552540)=145249
(ln12552540)^2=267.1731993596
12552540/267.1731993596=46982.7813197124
145249/46982.7813197124=3.0915368550

D(11847364)=33606
(ln11847364)^2=265.2864334501
11847364/265.2864334501=44658.7631561961
33606/44658.7631561961=0.7525062860
【4(q56)^2】
D(13123110)=158471
(ln13123110)^2=268.6283419852
13123110/268.6283419852=48852.2912475223
158471/48852.2912475223=3.2438806032

D(12773476)=36202
(ln12773476)^2=267.7438874303
12773476/267.7438874303=47707.8155643245
36202/47707.8155643245=0.7588274494
【4(q57)^2】
D(14264250)=162542
(ln14264250)^2=271.3685245006
14264250/271.3685245006=52564.1285268825
162542/52564.1285268825=3.0922609117

D(14002564)=38868
(ln14002564)^2=270.7588309218
14002564/270.7588309218=51716.0011081751
38868/51716.0011081751=0.7515662303
【4(q58)^2】
D(14264250)=162542
(ln14264250)^2=271.3685245006
14264250/271.3685245006=52564.1285268825
162542/52564.1285268825=3.0922609117

D(14092516)=38985
(ln14092516)^2=270.9696053096
14092516/270.9696053096=52007.7371183325
38985/52007.7371183325=0.7496000049
【4(q59)^2】
D(15825810)=185193
(ln15825810)^2=274.8019919547
15825810/274.8019919547=57589.8663886280
185193/57589.8663886280=3.2157219944

D(14915044)=41034
(ln14915044)^2=272.8403902848
14915044/272.8403902848=54665.8212313477
41034/54665.8212313477=0.7506335600
【4(q60)^2】
D(15825810)=185193
(ln15825810)^2=274.8019919547
15825810/274.8019919547=57589.8663886280
185193/57589.8663886280=3.2157219944

D(15194404)=41717
(ln15194404)^2=273.4537737948
15194404/273.4537737948=55564.7990852081
41717/55564.7990852081=0.7507810824
【4(q61)^2】
D(16546530)=191899
(ln16546530)^2=276.2804777330
16546530/276.2804777330=59890.3336774693
191899/59890.3336774693=3.2041731648

D(15952036)=43664
(ln15952036)^2=275.0654434266
15952036/275.0654434266=57993.6025451948
43664/57993.6025451948=0.7529106330
【4(q62)^2】
D(16546530)=191899
(ln16546530)^2=276.2804777330
16546530/276.2804777330=59890.3336774693
191899/59890.3336774693=3.2041731648

D(16434916)=44722
(ln16434916)^2=276.0555218798310
16434916/276.0555218798310=59534.8207059384
44722/59534.8207059384=0.7511906389
【4(q63)^2】
D(17687670)=202765
(ln17687670)^2=278.5019717735
17687670/278.5019717735=63510.0350901107
202765/63510.0350901107=3.1926450633

D(17322244)=46950
(ln17322244)^2=277.8056233836
17322244/277.8056233836=62353.8277916033
46950/62353.8277916033=0.7529609915
【4(q64)^2】
D(17687670)=202765
(ln17687670)^2=278.5019717735
17687670/278.5019717735=63510.0350901107
202765/63510.0350901107=3.1926450633

D(17422276)=47556
(ln17422276)^2=277.9976048724
17422276/277.9976048724=62670.5974966826
47556/62670.5974966826=0.7588247424
【4(q65)^2】
D(18378360)=204319
(ln18378360)^2=279.7819724721
18378360/279.7819724721=65688.1493743586
204319/65688.1493743586=3.1104392793

D(17825284)=48013
(ln17825284)^2=271.3622498088
17825284/271.3622498088=65688.1493743495
48013/65688.1493743495=0.7309233166
【4(q66)^2】
D(18378360)=204319
(ln18378360)^2=279.7819724721
18378360/279.7819724721=65688.1493743586
204319/65688.1493743586=3.1104392793

D(18130564)=48769
(ln18130564)^2=279.3280355403
18130564/279.3280355403=64907.7847303452
48769/64907.7847303452=0.7513582570
【4(q67)^2】
D(18378360)=204319
(ln18378360)^2=279.7819724721
18378360/279.7819724721=65688.1493743586
204319/65688.1493743586=3.1104392793

D(18335524)=49551
(ln18335524)^2=279.7039143074
18335524/279.7039143074=65553.3335863470
49551/65553.3335863470=0.7558883323
【4(q68)^2】
D(20930910)=234553
(ln20930910)^2=284.1496015624
20930910/284.1496015624=73661.5849007394
234553/73661.5849007394=3.1841970318

D(20016676)=53081
(ln20016676)^2=282.6459089824
20016676/282.6459089824=70818.9128654482
53081/70818.9128654482=0.7495314154
【4(q69)^2】
D(20930910)=234553
(ln20930910)^2=284.1496015624
20930910/284.1496015624=73661.5849007394
234553/73661.5849007394=3.1841970318

D(20557156)=54331
(ln20557156)^2=283.5424798600
20557156/283.5424798600=72501.1504806975
54331/72501.1504806975=0.7493812117
【4(q70)^2】
D(21411390)=236952
(ln21411390)^2=284.9152780286
21411390/284.9152780286=75150.0240638226
236952/75150.0240638226=3.1530528826

D(21325924)=56251
(ln21325924)^2=284.7802720076
21325924/284.7802720076=74885.5384176010
56251/74885.5384176010=0.7511597191
【4(q71)^2】
D(21951930)=244226
(ln21951930)^2=285.7575770392
21951930/285.7575770392=76820.1152440086
244226/76820.1152440086=3.1791933561

D(21883684)=57457
(ln21883684)^2=285.6523155942
21883684/285.6523155942=76609.5102519251
57457/76609.5102519251=0.7499982680
【4(q72)^2】
D(22822800)=244926
(ln22822800)^2=287.0744184302
22822800/287.0744184302=79501.3367084437
244926/79501.3367084437=3.0807783886

D(22676644)=59359
(ln22676644)^2=286.8567542601
22676644/286.8567542601=79052.1529063894
59359/79052.1529063894=0.7508840407
【4(q73)^2】
D(26036010)=276536
(ln26036010)^2=291.5553223545
26036010/291.5553223545=89300.4106038682
276536/89300.4106038682=3.0966934881

D(25989604)=67155
(ln25989604)^2=291.4944030654
25989604/291.4944030654=89159.8731457254
67155/89159.8731457254=0.7531975723
【4(q74)^2】
D(27057030)=291909
(ln27057030)^2=292.8704248177
27057030/292.8704248177=92385.6685660285
291909/92385.6685660285=3.1596783844

D(26853124)=68708
(ln26853124)^2=292.6115658249
26853124/292.6115658249=91770.5488650063
68708/91770.5488650063=0.7486933537
【4(q75)^2】
D(28318290)=300072
(ln28318290)^2=294.4319139482
28318290/294.4319139482=96179.4175782931
300072/96179.4175782931=3.1199190799

D(28238596)=71695
(ln28238596)^2=294.3352071087
28238596/294.3352071087=95940.2589903942
71695/95940.2589903942=0.7472879556
【4(q76)^2】
D(29099070)=323202
(ln29099070)^2=295.3660469640
29099070/295.3660469640=98518.6696274087
323202/98518.6696274087=3.2806167727

D(28879876)=73339
(ln28879876)^2=295.1062074796
28879876/295.1062074796=97862.6517098811
73339/97862.6517098811=0.7494074473
【4(q77)^2】
D(31141110)=329308
(ln31141110)^2=297.7018745541
31141110/297.7018745541=104605.0181801622
329308/104605.0181801622=3.1481090079

D(29398084)=74518
(ln29398084)^2=295.7175507412
29398084/295.7175507412=99412.7129969638
74518/99412.7129969638=0.7495821988
【4(q78)^2】
D(31141110)=329308
(ln31141110)^2=297.7018745541
31141110/297.7018745541=104605.0181801622
329308/104605.0181801622=3.1481090079

D(29789764)=75308
(ln29789764)^2=296.1729274607
29789764/296.1729274607=100582.3329478785
75308/100582.3329478785=0.7487199570
【4(q79)^2】
D(31141110)=329308
(ln31141110)^2=297.7018745541
31141110/297.7018745541=104605.0181801622
329308/104605.0181801622=3.1481090079

D(31114084)=78355
(ln31114084)^2=297.6719142610
31114084/297.6719142610=104524.7553073450
78355/104524.7553073450=0.7496310302
【4(q80)^2】
D(31651620)=339780
(ln31651620)^2=298.2632582933
31651620/298.2632582933=106119.7419390996
339780/106119.7419390996=3.2018547519

D(31382404)=78988
(ln31382404)^2=297.9682862001
31382404/297.9682862001=105321.2890546520
78988/105321.2890546520=0.7499718310
【4(q81)^2】
D(37267230)=384496
(ln37267230)^2=303.9312787641
37267230/303.9312787641=122617.2908281856
384496/122617.2908281856=3.1357404604

D(35259844)=87432
(ln35259844)^2=302.0037576420
35259844/302.0037576420=116752.9976292466
87432/116752.9976292466=0.7488629995
【4(q82)^2】
D(37267230)=384496
(ln37267230)^2=303.9312787641
37267230/303.9312787641=122617.2908281856
384496/122617.2908281856=3.1357404604

D(35976004)=88830
(ln35976004)^2=302.7030252886
35976004/302.7030252886=118849.1722727255
88830/118849.1722727255=0.7474179105
【4(q83)^2】
D(41351310)=415542
(ln41351310)^2=307.5679279523
41351310/307.5679279523=134446.1052077351
415542/134446.1052077351=3.0907700848

D(38912644)=95230
(ln38912644)^2=305.4395796602
38912644/305.4395796602=127398.8264497028
95230/127398.8264497028=0.7474951116
【4(q84)^2】
D(41351310)=415542
(ln41351310)^2=307.5679279523
41351310/307.5679279523=134446.1052077351
415542/134446.1052077351=3.0907700848

D(40119556)=97802
(ln40119556)^2=306.5081602795
40119556/306.5081602795=130892.2932538423
97802/130892.2932538423=0.7471944877
【4(q85)^2】
D(42822780)=435182
(ln42822780)^2=308.7955946353
42822780/308.7955946353=138676.7840732165
435182/138676.7840732165=3.1381027683

D(42276004)=102291
(ln42276004)^2=308.3441247575
42276004/308.3441247575=137106.5657023572
102291/137106.5657023572=0.7460693037
【4(q86)^2】
D(42822780)=435182
(ln42822780)^2=308.7955946353
42822780/308.7955946353=138676.7840732165
435182/138676.7840732165=3.1381027683

D(42432196)=102770
(ln42432196)^2=308.4736508477
42432196/308.4736508477=137555.3337647943
102770/137555.3337647943=0.7471175213
【4(q87)^2】
D(43903860)=448522
(ln43903860)^2=309.6724567915
43903860/309.6724567915=141775.1531889067
448522/141775.1531889067=3.1636149911

D(43533604)=105168
(ln43533604)^2=309.3744584063
43533604/309.3744584063=140714.9259323390
105168/140714.9259323390=0.7473834016
【4(q88)^2】
D(44414370)=458051
(ln44414370)^2=310.0794738845
44414370/310.0794738845=143235.4403972696
458051/143235.4403972696=3.1978887259

D(44328964)=106720
(ln44328964)^2=310.0116901426
44328964/310.0116901426=142991.2658442314
106720/142991.2658442314=0.7463392912
【4(q89)^2】
D(46260060)=460404
(ln46260060)^2=311.5150698103
46260060/311.5150698103=148500.2315559581
460404/148500.2315559581=3.1003588020

D(45131524)=108242
(ln45131524)^2=310.6438518055
45131524/310.6438518055=145283.8153328645
108242/145283.8153328645=0.7450382532
【4(q90)^2】
D(46260060)=460404
(ln46260060)^2=311.5150698103
46260060/311.5150698103=148500.2315559581
460404/148500.2315559581=3.1003588020

D(45454564)=109170
(ln45454564)^2=310.8953158366
45454564/310.8953158366=146205.3678026142
109170/146205.3678026142=0.7466894112
【4(q91)^2】
D(46260060)=460404
(ln46260060)^2=311.5150698103
46260060/311.5150698103=148500.2315559581
460404/148500.2315559581=3.1003588020

D(45941284)=110484
(ln45941284)^2=311.2710278328
45941284/311.2710278328=147592.5476259791
110484/147592.5476259791=0.7485743811
【4(q92)^2】
D(48498450)=505193
(ln48498450)^2=313.1853095883
48498450/313.1853095883=154855.4434553587
505193/154855.4434553587=3.2623522217

D(47914084)=114347
(ln47914084)^2=312.7563971180
47914084/312.7563971180=153199.3731911500
114347/153199.3731911500=0.7463933933
【4(q93)^2】
D(48498450)=505193
(ln48498450)^2=313.1853095883
48498450/313.1853095883=154855.4434553587
505193/154855.4434553587=3.2623522217

D(48080356)=115029
(ln48080356)^2=312.8789374637
48080356/312.8789374637=153670.7980081857
115029/153670.7980081857=0.7485416975
【4(q94)^2】
D(51111060)=505971
(ln51111060)^2=315.0451574276
51111060/315.0451574276=162234.0759570182
505971/162234.0759570182=3.1187714234

D(49758916)=118090
(ln49758916)^2=314.0941031444
49758916/314.0941031444=158420.4080938256
118090/158420.4080938256=0.7454216374
【4(q95)^2】
D(51111060)=505971
(ln51111060)^2=315.0451574276
51111060/315.0451574276=162234.0759570182
505971/162234.0759570182=3.1187714234

D(50098084)=118748
(ln50098084)^2=314.3349334481
50098084/314.3349334481=159378.0349210589
118748/159378.0349210589=0.7450713021
【4(q96)^2】
D(51111060)=505971
(ln51111060)^2=315.0451574276
51111060/315.0451574276=162234.0759570182
505971/162234.0759570182=3.1187714234

D(50608996)=119926
(ln50608996)^2=314.6948239597
50608996/314.6948239597=160819.2831493187
119926/160819.2831493187=0.7457190310
【4(q97)^2】
D(51482970)=512328
(ln51482970)^2=315.3025836321
51482970/315.3025836321=163281.1549050646
512328/163281.1549050646=3.1377044111

D(51294244)=121070
(ln51294244)^2=315.1721726322
51294244/315.1721726322=162749.9140282902
121070/162749.9140282902=0.7439020827
【4(q98)^2】
D(54114060)=536203
(ln54114060)^2=317.0751673503
54114060/317.0751673503=170666.3453092672
536203/170666.3453092672=3.1418203690

D(53904964)=126979
(ln53904964)^2=316.9373068308
53904964/316.9373068308=170080.8419779300
126979/170080.8419779300=0.7465802646
【4(q99)^2】
D(58198140)=593605
(ln58198140)^2=319.6716553791
58198140/319.6716553791=182055.9909541638
593605/182055.9909541638=3.2605628460

D(56761156)=132909
(ln56761156)^2=318.7782701550
56761156/318.7782701550=178058.4227789458
132909/178058.4227789458=0.7464347821
【4(q100)^2】
D(62192130)=595688
(ln62192130)^2=322.0495490591
62192130/322.0495490591=193113.5447377602
595688/193113.5447377602=3.0846515754

D(58400164)=135695
(ln58400164)^2=319.7955821997
58400164/319.7955821997=182617.1693751897
135695/182617.1693751897=0.7430571860

小草

【4(q101)^2】
D(62192130)=595688
(ln62192130)^2=322.0495490591
62192130/322.0495490591=193113.5447377602
595688/193113.5447377602=3.0846515754

D(59320804)=138255
(ln59320804)^2=320.3552508482
59320804/320.3552508482=185171.9422201982
138255/185171.9422201982=0.7466303930
【4(q102)^2】
D(62192130)=595688
(ln62192130)^2=322.0495490591
62192130/322.0495490591=193113.5447377602
595688/193113.5447377602=3.0846515754

D(61371556)=142217
(ln61371556)^2=321.5730150773
61371556/321.5730150773=190847.9664727075
142217/190847.9664727075=0.7451847805
【4(q103)^2】
D(62192130)=595688
(ln62192130)^2=322.0495490591
62192130/322.0495490591=193113.5447377602
595688/193113.5447377602=3.0846515754

D(61748164)=143181
(ln61748164)^2=321.7924658637
61748164/321.7924658637=191888.1594516708
143181/191888.1594516708=0.7461690206
【4(q104)^2】
D(65615550)=648273
(ln65615550)^2=323.9756381242
65615550/323.9756381242=202532.3582350519
648273/202532.3582350519=3.2008366744

D(64032004)=147390
(ln64032004)^2=323.0967991704
64032004/323.0967991704=198182.1056860107
147390/198182.1056860107=0.7437099303
【4(q105)^2】
D(65615550)=648273
(ln65615550)^2=323.9756381242
65615550/323.9756381242=202532.3582350519
648273/202532.3582350519=3.2008366744

D(64609444)=148727
(ln64609444)^2=323.4196215405
64609444/323.4196215405=199769.7099893159
148727/199769.7099893159=0.7444922456
【4(q106)^2】
D(65615550)=648273
(ln65615550)^2=323.9756381242
65615550/323.9756381242=202532.3582350519
648273/202532.3582350519=3.2008366744

D(65577604)=151024
(ln65577604)^2=323.9548141302
65577604/323.9548141302=202428.2435069597
151024/202428.2435069597=0.7460619002
【4(q107)^2】
D(67897830)=679311
(ln67897830)^2=325.2076500278
67897830/325.2076500278=208783.0037030059
679311/208783.0037030059=3.2536700208

D(66945124)=153784
(ln66945124)^2=324.6981924228
66945124/324.6981924228=206176.4603630087
153784/206176.4603630087=0.7458853437
【4(q108)^2】
D(70450380)=696184
(ln70450380)^2=326.5400497092
70450380/326.5400497092=215748.0531491911
696184/215748.0531491911=3.2268379243

D(68128516)=155849
(ln68128516)^2=325.3299932264
68128516/325.3299932264=209413.5721221030
155849/209413.5721221030=0.7442163295
【4(q109)^2】
D(70450380)=696184
(ln70450380)^2=326.5400497092
70450380/326.5400497092=215748.0531491911
696184/215748.0531491911=3.2268379243

D(69122596)=158003
(ln69122596)^2=325.8527617888
69122596/325.8527617888=212128.3110216555
158003/212128.3110216555=0.7448463585
【4(q110)^2】
D(73603530)=701709
(ln73603530)^2=328.1243700518
73603530/328.1243700518=224315.9506512132
701709/224315.9506512132=3.1282171329

D(71132356)=161973
(ln71132356)^2=326.8883117318
71132356/326.8883117318=217604.4644213572
161973/217604.4644213572=0.7443459418
【4(q111)^2】
D(73603530)=701709
(ln73603530)^2=328.1243700518
73603530/328.1243700518=224315.9506512132
701709/224315.9506512132=3.1282171329

D(71537764)=162219
(ln71537764)^2=327.0938479662
71537764/327.0938479662=218707.1522280428
162219/218707.1522280428=0.7417178558
【4(q112)^2】
D(73603530)=701709
(ln73603530)^2=328.1243700518
73603530/328.1243700518=224315.9506512132
701709/224315.9506512132=3.1282171329

D(71944324)=163597
(ln71944324)^2=327.2988661292
71944324/327.2988661292=219812.3227582470
163597/219812.3227582470=0.7442576374
【4(q113)^2】
D(73603530)=701709
(ln73603530)^2=328.1243700518
73603530/328.1243700518=224315.9506512132
701709/224315.9506512132=3.1282171329

D(72556324)=165094
(ln72556324)^2=327.6054279909
72556324/327.6054279909=221474.7308827112
165094/221474.7308827112=0.7454304125
【4(q114)^2】
D(73603530)=701709
(ln73603530)^2=328.1243700518
73603530/328.1243700518=224315.9506512132
701709/224315.9506512132=3.1282171329

D(72965764)=165841
(ln72965764)^2=327.8091629414
72965764/327.8091629414=222586.1026741450
165841/222586.1026741450=0.7450644852
【4(q115)^2】
D(75555480)=726870
(ln75555480)^2=329.0733059575
75555480/329.0733059575=229600.7565249247
726870/229600.7565249247=3.1657996733

D(75238276)=170065
(ln75238276)^2=328.9206858021
75238276/328.9206858021=228742.9135584018
170065/228742.9135584018=0.7434765841
【4(q116)^2】
D(81171090)=766681
(ln81171090)^2=331.6794830219
81171090/331.6794830219=244727.4979460833
766681/244727.4979460833=3.1327946652

D(78180964)=175322
(ln78180964)^2=330.3137860325
78180964/330.3137860325=236686.9543625638
175322/236686.9543625638=0.7407336854
【4(q117)^2】
D(81171090)=766681
(ln81171090)^2=331.6794830219
81171090/331.6794830219=244727.4979460833
766681/244727.4979460833=3.1327946652

D(80317444)=180169
(ln80317444)^2=331.2945072634
80317444/331.2945072634=242435.1815049640
180169/242435.1815049640=0.7431635907
【4(q118)^2】
D(82192110)=796096
(ln82192110)^2=332.1349469472
82192110/332.1349469472=247466.0096911338
796096/247466.0096911338=3.2169912991

D(81613156)=183192
(ln81613156)^2=331.8773438666
81613156/331.8773438666=245913.6108815095
183192/245913.6108815095=0.7449445329
【4(q119)^2】
D(85645560)=801432
(ln85645560)^2=333.6368172698476
85645560/333.6368172698476=256702.9643216184
801432/256702.9643216184=3.1220208232

D(82700836)=184654
(ln82700836)^2=332.3598907473
82700836/332.3598907473=248829.1707343204
184654/248829.1707343204=0.7420914495
【4(q120)^2】
D(87297210)=849395
(ln87297210)^2=334.3349738096
87297210/334.3349738096=261107.0239086467
849395/261107.0239086467=3.2530530481

D(86007076)=191575
(ln86007076)^2=333.7907123502
86007076/333.7907123502=257667.6726396293
191575/257667.6726396293=0.7434964504
【4(q121)^2】
D(87297210)=849395
(ln87297210)^2=334.3349738096
87297210/334.3349738096=261107.0239086467
849395/261107.0239086467=3.2530530481

D(86452804)=192362
(ln86452804)^2=333.9796164364
86452804/333.9796164364=258856.5281991192
192362/258856.5281991192=0.7431220736
【4(q122)^2】
D(91861770)=872089
(ln91861770)^2=336.2013968059
91861770/336.2013968059=273234.3496271516
872089/273234.3496271516=3.1917253493

D(89151364)=197852
(ln89151364)^2=335.1040051791
89151364/335.1040051791=266040.8787186894
197852/266040.8787186894=0.7436902214
【4(q123)^2】
D(91861770)=872089
(ln91861770)^2=336.2013968059
91861770/336.2013968059=273234.3496271516
872089/273234.3496271516=3.1917253493

D(91661476)=202578
(ln91661476)^2=336.1213560968
91661476/336.1213560968=272703.5171594461
202578/272703.5171594461=0.7428507051
【4(q124)^2】
D(93933840)=896142
(ln93933840)^2=337.0198819694
93933840/337.0198819694=278718.9866992144
896142/278718.9866992144=3.2152169130

D(92121604)=203245
(ln92121604)^2=336.3049851489
92121604/336.3049851489=273922.8024205853
203245/273922.8024205853=0.7419791204
【4(q125)^2】
D(102222120)=932057
(ln102222120)^2=340.1316581052
102222120/340.1316581052=300536.9172909612
932057/300536.9172909612=3.1013061836

D(97259044)=213383
(ln97259044)^2=338.2983486083
97259044/338.2983486083=287494.8825499936
213383/287494.8825499936=0.7422149504
【4(q126)^2】
D(102222120)=932057
(ln102222120)^2=340.1316581052
102222120/340.1316581052=300536.9172909612
932057/300536.9172909612=3.1013061836

D(98684356)=215934
(ln98684356)^2=338.8337365900
98684356/338.8337365900=291247.1378828824
215934/291247.1378828824=0.7414115777
【4(q127)^2】
D(102222120)=932057
(ln102222120)^2=340.1316581052
102222120/340.1316581052=300536.9172909612
932057/300536.9172909612=3.1013061836

D(100360324)=219991
(ln100360324)^2=339.4540016857
100360324/339.4540016857=295652.2047217563
219991/295652.2047217563=0.7440871283
【4(q128)^2】
D(102222120)=932057
(ln102222120)^2=340.1316581052
102222120/340.1316581052=300536.9172909612
932057/300536.9172909612=3.1013061836

D(100841764)=220145
(ln100841764)^2=339.6303687042
100841764/339.6303687042=296916.2162522275
220145/296916.2162522275=0.7414381160
【4(q129)^2】
D(104984880)=981419
(ln104984880)^2=341.1160360561
104984880/341.1160360561=307768.8202929697
981419/307768.8202929697=3.1888187993

D(103999204)=226728
(ln103999204)^2=340.7676792265
103999204/340.7676792265=305190.9272500995
226728/305190.9272500995=0.7429054397
【4(q130)^2】
D(110780670)=1024574
(ln110780670)^2=343.1038576627
110780670/343.1038576627=322877.9494193468
1024574/322877.9494193468=3.1732547913

D(109453444)=237004
(ln109453444)^2=342.6574855876
109453444/342.6574855876=319425.2237399855
237004/319425.2237399855=0.7419702089
【4(q131)^2】
D(113333220)=1040115
(ln113333220)^2=343.9482883858
113333220/343.9482883858=329506.5677805507
1040115/329506.5677805507=3.1565835152

D(111471364)=240828
(ln111471364)^2=343.3341539767
111471364/343.3341539767=324673.0996869157
240828/324673.0996869157=0.7417553232
【4(q132)^2】
D(122672550)=1101850
(ln122672550)^2=346.8917115190
122672550/346.8917115190=353633.5574661920
1101850/353633.5574661920=3.1157959326

D(117375556)=252003
(ln117375556)^2=345.2494446680
117375556/345.2494446680=339973.1927530574
252003/339973.1927530574=0.7412437374
【4(q133)^2】
D(122672550)=1101850
(ln122672550)^2=346.8917115190
122672550/346.8917115190=353633.5574661920
1101850/353633.5574661920=3.1157959326

D(118417924)=254071
(ln118417924)^2=345.5780857917
118417924/345.5780857917=342666.1841960007
254071/342666.1841960007=0.7414533786
【4(q134)^2】
D(122672550)=1101850
(ln122672550)^2=346.8917115190
122672550/346.8917115190=353633.5574661920
1101850/353633.5574661920=3.1157959326

D(119990116)=256750
(ln119990116)^2=346.0686299476
119990116/346.0686299476=346723.4693250536
256750/346723.4693250536=0.7405036656
【4(q135)^2】
D(122672550)=1101850
(ln122672550)^2=346.8917115190
122672550/346.8917115190=353633.5574661920
1101850/353633.5574661920=3.1157959326

D(121044004)=259082
(ln121044004)^2=346.3940631610
121044004/346.3940631610=349440.1806295974
259082/349440.1806295974=0.7414201754
【4(q136)^2】
D(122672550)=1101850
(ln122672550)^2=346.8917115190
122672550/346.8917115190=353633.5574661920
1101850/353633.5574661920=3.1157959326

D(121837444)=260609
(ln121837444)^2=346.6373074912
121837444/346.6373074912=351483.9325339874
260609/351483.9325339874=0.7414535228
【4(q137)^2】
D(129159030)=1188327
(ln129159030)^2=348.8137064350
129159030/348.8137064350=370280.8336290772
1188327/370280.8336290772=3.2092587357

D(127193284)=270926
(ln127193284)^2=348.2410724985
127193284/348.2410724985=365244.9238323198
270926/365244.9238323198=0.7417652713
【4(q138)^2】
D(129159030)=1188327
(ln129159030)^2=348.8137064350
129159030/348.8137064350=370280.8336290772
1188327/370280.8336290772=3.2092587357

D(127735204)=271210
(ln127735204)^2=348.3997688418
127735204/348.3997688418=366634.0090426452
271210/366634.0090426452=0.7397295213
【4(q139)^2】
D(129159030)=1188327
(ln129159030)^2=348.8137064350
129159030/348.8137064350=370280.8336290772
1188327/370280.8336290772=3.2092587357

D(128006596)=271931
(ln128006596)^2=348.4790042132
128006596/348.4790042132=367329.4357834120
271931/367329.4357834120=0.7402918838
【4(q140)^2】
D(133243110)=1209437
(ln133243110)^2=349.9775121954
133243110/349.9775121954=380719.0615310377
1209437/380719.0615310377=3.1767177486

D(131836324)=279185
(ln131836324)^2=349.5804917051
131836324/349.5804917051=377127.2342943405
279185/377127.2342943405=0.7402939237
【4(q141)^2】
D(140900760)=1284544
(ln140900760)^2=352.0714229496
140900760/352.0714229496=400205.0459521968
1284544/400205.0459521968=3.2097146525

D(136843204)=288684
(ln136843204)^2=350.9757324875
136843204/350.9757324875=389893.6346115430
288684/389893.6346115430=0.7404173199
【4(q142)^2】
D(140900760)=1284544
(ln140900760)^2=352.0714229496
140900760/352.0714229496=400205.0459521968
1284544/400205.0459521968=3.2097146525

D(137686756)=290488
(ln137686756)^2=351.2060321177
137686756/351.2060321177=392039.8381820985
290488/392039.8381820985=0.7409655135
【4(q143)^2】
D(140900760)=1284544
(ln140900760)^2=352.0714229496
140900760/352.0714229496=400205.0459521968
1284544/400205.0459521968=3.2097146525

D(138250564)=291383
(ln138250564)^2=351.3592148172
138250564/351.3592148172=393473.5682737877
291383/393473.5682737877=0.7405402128
【4(q144)^2】
D(151110960)=1340153
(ln151110960)^2=354.7016623947
151110960/354.7016623947=426022.7002597153
1340153/426022.7002597153=3.1457314345

D(148303684)=310010
(ln148303684)^2=353.9956698086
148303684/353.9956698086=418942.0850265923
310010/418942.0850265923=0.7399829501
【4(q145)^2】
D(151110960)=1340153
(ln151110960)^2=354.7016623947
151110960/354.7016623947=426022.7002597153
1340153/426022.7002597153=3.1457314345

D(150356644)=314377
(ln150356644)^2=354.5131901177
150356644/354.5131901177=424121.4380488379
314377/424121.4380488379=0.7412428889
【4(q146)^2】
D(155195040)=1414540
(ln155195040)^2=355.7068877842
155195040/355.7068877842=436300.3510186556
1414540/436300.3510186556=3.2421243684

D(153611236)=320100
(ln153611236)^2=355.3200693737
153611236/355.3200693737=432317.9275259085
320100/432317.9275259085=0.7404273097
【4(q147)^2】
D(162342180)=1416289
(ln162342180)^2=357.4072255753
162342180/357.4072255753=454221.8746100786
1416289/454221.8746100786=3.1180554684

D(157201444)=326571
(ln157201444)^2=356.1915868905
157201444/356.1915868905=441339.5761880437
326571/441339.5761880437=0.7399540345
【4(q148)^2】
D(162342180)=1416289
(ln162342180)^2=357.4072255753
162342180/357.4072255753=454221.8746100786
1416289/454221.8746100786=3.1180554684

D(158709604)=329111
(ln158709604)=356.5520804968
158709604/356.5520804968=445123.2026997649
329111/445123.2026997649=0.7393705788
【4(q149)^2】
D(162342180)=1416289
(ln162342180)^2=357.4072255753
162342180/357.4072255753=454221.8746100786
1416289/454221.8746100786=3.1180554684

D(161747524)=335192
(ln161747524)=357.2684859359
161747524/357.2684859359=452733.8132729127
335192/452733.8132729127=0.7403732396
【4(q150)^2】
D(170600430)=1510757
(ln170600430)=359.2857590174
170600430/359.2857590174=474832.1516181718
1510757/474832.1516181718=3.1816653419

D(166358404)=343332
(ln166358404)=358.3318414152
166358404/358.3318414152=464257.9440972428
343332/464257.9440972428=0.7395285409

小草

【4(q151)^2】
D(174083910)=1529998
(ln174083910)=360.0524459312
174083910/360.0524459312=483495.9794531281
1529998/483495.9794531281=3.1644482375

D(171662404)=353959
(ln171662404)=359.5210507214
171662404/359.5210507214=477475.2511864030
353959/477475.2511864030=0.7413138149
【4(q152)^2】
D(174083910)=1529998
(ln174083910)=360.0524459312
174083910/360.0524459312=483495.9794531281
1529998/483495.9794531281=3.1644482375

D(172607044)=355006
(ln172607044)=359.7291899473
172607044/359.7291899473=479824.9595071414
355006/479824.9595071414=0.7398656384
【4(q153)^2】
D(182011830)=1582503
(ln182011830)=361.7445086955
182011830/361.7445086955=503150.2223941407
1582503/503150.2223941407=3.1451899047

D(177369124)=362899
(ln177369124)=360.7622946259
177369124/360.7622946259=491650.9475690264
362899/491650.9475690264=0.7381232596
【4(q154)^2】
D(182011830)=1582503
(ln182011830)=361.7445086955
182011830/361.7445086955=503150.2223941407
1582503/503150.2223941407=3.1451899047

D(178970884)=366136
(ln178970884)=361.1038877446
178970884/361.1038877446=495621.5927716119
366136/495621.5927716119=0.7387410180
【4(q155)^2】
D(182011830)=1582503
(ln182011830)=361.7445086955
182011830/361.7445086955=503150.2223941407
1582503/503150.2223941407=3.1451899047

D(179613604)=368137
(ln179613604)=361.2401412914
179613604/361.2401412914=497213.8571253406
368137/497213.8571253406=0.7403997188
【4(q156)^2】
D(183723540)=1613856
(ln183723540)=362.1006597352
183723540/362.1006597352=507382.5055562033
1613856/507382.5055562033=3.1807482172

D(182844484)=373577
(ln182844484)=361.9181513966
182844484/361.9181513966=505209.4880967546
373577/505209.4880967546=0.7394496913
【4(q157)^2】
D(184294110)=1647287
(ln184294110)=362.2186783915
184294110/362.2186783915=508792.3980574182
1647287/508792.3980574182=3.2376407476

D(183819364)=374651
(ln183819364)=362.1205045414
183819364/362.1205045414=507619.3192451066
374651/507619.3192451066=0.7380550460
【4(q158)^2】
D(187867680)=1656883
(ln187867680)=362.9500672446
187867680/362.9500672446=517613.0188547172
1656883/517613.0188547172=3.2010071997

D(184470724)=376530
(ln184470724)=362.2551396791
184470724/362.2551396791=509228.7280269136
376530/509228.7280269136=0.7394123294
【4(q159)^2】
D(187867680)=1656883
(ln187867680)=362.9500672446
187867680/362.9500672446=517613.0188547172
1656883/517613.0188547172=3.2010071997

D(186431716)=379648
(ln186431716)=362.6577714789
186431716/362.6577714789=514070.6491404856
379648/514070.6491404856=0.7385132776
【4(q160)^2】
D(192462270)=1674865
(ln192462270)=363.8712930868
192462270/363.8712930868=528929.5244131526
1674865/528929.5244131526=3.1665182651

D(188732644)=384480
(ln188732644)=363.1251139306
188732644/363.1251139306=519745.5002687320
384480/519745.5002687320=0.7397466641
【4(q161)^2】
D(193993800)=1723190
(ln193993800)=364.1737418098
193993800/364.1737418098=532695.7375782429
1723190/532695.7375782429=3.2348484856

D(193043236)=391303
(ln193043236)=363.9862906555
193043236/363.9862906555=530358.5353512902
391303/530358.5353512902=0.7378084332
【4(q162)^2】
D(193993800)=1723190
(ln193993800)=364.1737418098
193993800/364.1737418098=532695.7375782429
1723190/532695.7375782429=3.2348484856

D(193710724)=393290
(ln193710724)=364.1180104105
193710724/364.1180104105=531999.8419787422
393290/531999.8419787422=0.7392671369
【4(q163)^2】
D(203693490)=1800905
(ln203693490)=366.0382805566
203693490/366.0382805566=556481.3868381811
1800905/556481.3868381811=3.2362358249

D(203176516)=409754
(ln203176516)=365.9410489053
203176516/365.9410489053=555216.5208243118
409754/555216.5208243118=0.7380075784
【4(q164)^2】
D(209969760)=1816227
(ln209969760)=367.2004128020
209969760/367.2004128020=571812.4290704947
1816227/571812.4290704947=3.1762635922

D(207994084)=419187
(ln207994084)=366.8381825883
207994084/366.8381825883=566991.3707794980
419187/566991.3707794980=0.7393181301
【4(q165)^2】
D(221561340)=1895511
(ln221561340)=369.2627282681
221561340/369.2627282681=600010.0281963397
1895511/600010.0281963397=3.1591321993

D(213568996)=428764
(ln213568996)=367.8520888407
213568996/367.8520888407=580583.8881412116
428764/580583.8881412116=0.7385048203
【4(q166)^2】
D(221561340)=1895511
(ln221561340)=369.2627282681
221561340/369.2627282681=600010.0281963397
1895511/600010.0281963397=3.1591321993

D(214974244)=431255
(ln214974244)=368.1037004839
214974244/368.1037004839=584004.5718567897787
431255/584004.5718567897787=0.7384445615
【4(q167)^2】
D(221561340)=1895511
(ln221561340)=369.2627282681
221561340/369.2627282681=600010.0281963397
1895511/600010.0281963397=3.1591321993

D(216031204)=433482
(ln216031204)=368.2919254609
216031204/368.2919254609=586575.9987261386
433482/586575.9987261386=0.7390039840
【4(q168)^2】
D(223092870)=2044847
(ln223092870)=369.52752363490825
223092870/369.52752363490825=603724.6368159977
2044847/603724.6368159977=3.3870524330

D(222427396)=444357
(ln222427396)=369.4126782386
222427396/369.4126782386=602110.8887235764
444357/602110.8887235764=0.7379986118
【4(q169)^2】
D(242492250)=2102651
(ln242492250)=372.7401819244
242492250/372.7401819244=650566.4314162481
2102651/650566.4314162481=3.2320311938

D(224220676)=447286
(ln224220676)=369.7214172983
224220676/369.7214172983=606458.4454924705
447286/606458.4454924705=0.7375377544
【4(q170)^2】
D(242492250)=2102651
(ln242492250)=372.7401819244
242492250/372.7401819244=650566.4314162481
2102651/650566.4314162481=3.2320311938

D(227828836)=454141
(ln227828836)=370.3355843979
227828836/370.3355843979=615195.6376819940
454141/615195.6376819940=0.7382058197
【4(q171)^2】
D(242492250)=2102651
(ln242492250)=372.7401819244
242492250/372.7401819244=650566.4314162481
2102651/650566.4314162481=3.2320311938

D(228553924)=455837
(ln228553924)=370.4578925541603
228553924/370.4578925541603=616949.8034559645
455837/616949.8034559645=0.7388558963
【4(q172)^2】
D(242492250)=2102651
(ln242492250)=372.7401819244
242492250/372.7401819244=650566.4314162481
2102651/650566.4314162481=3.2320311938

D(230371684)=458317
(ln230371684)=370.7629034149
230371684/370.7629034149=621345.0209774734
458317/621345.0209774734=0.7376207816
【4(q173)^2】
D(242492250)=2102651
(ln242492250)=372.7401819244
242492250/372.7401819244=650566.4314162481
2102651/650566.4314162481=3.2320311938

D(240684196)=476757
(ln240684196)=372.4512559527
240684196/372.4512559527=646216.6314471122
476757/646216.6314471122=0.7377665272
【4(q174)^2】
D(249339090)=2115014
(ln249339090)=373.8160975002
249339090/373.8160975002=667010.0396087587
2115014/667010.0396087587=3.1708878044

D(248188516)=489930
(ln248188516)=373.6372696365
248188516/373.6372696365=664249.8919913820
489930/664249.8919913820=0.7375688064
【4(q175)^2】
D(258318060)=2199323
(ln258318060)=375.1853623219
258318060/375.1853623219=688507.8309061784
2199323/688507.8309061784=3.1943325860

D(252746404)=497640
(ln252746404)=374.3411256077
252746404/374.3411256077=675176.6950256804
497640/675176.6950256804=0.7370515062
【4(q176)^2】
D(258318060)=2199323
(ln258318060)=375.1853623219
258318060/375.1853623219=688507.8309061784
2199323/688507.8309061784=3.1943325860

D(256576324)=504747
(ln256576324)=374.9233191108
256576324/374.9233191108=684343.4668414816
504747/684343.4668414816=0.7375638469
【4(q177)^2】
D(261891630)=2250278
(ln261891630)=375.7177985768
261891630/375.7177985768=697043.4485457762
2250278/697043.4485457762=3.2283181266

D(261598276)=513241
(ln261598276)=375.6743513493
261598276/375.6743513493=696343.1894150456
513241/696343.1894150456=0.7370517983
【4(q178)^2】
D(271591320)=2325936
(ln271591320)=377.1289813780
271591320/377.1289813780=720154.9957991200
2325936/720154.9957991200=3.2297713875

D(270207844)=528437
(ln270207844)=376.9306542698
270207844/376.9306542698=716863.5422434765
528437/716863.5422434765=0.7371514505




【4(q179)^2】
D(271591320)=2325936
(ln271591320)=377.1289813780
271591320/377.1289813780=720154.9957991200
2325936/720154.9957991200=3.2297713875

D(270997444)=529835
(ln270997444)=378.0321191281
270997444/378.0321191281=716863.5422435356
529835/716863.5422435356=0.7391016125
【4(q180)^2】
D(281291010)=2487602
(ln281291010)=378.4931462349
281291010/378.4931462349=743186.5353393361
2487602/743186.5353393361=3.3472108034

D(274962724)=537333
(ln274962724)=377.6083019488
274962724/377.6083019488=728169.1704894832
537333/728169.1704894832=0.7379233038
【4(q181)^2】
D(300690390)=2632923
(ln300690390)=381.0925420597
300690390/381.0925420597=789021.9744916850
2632923/789021.9744916850=3.3369450853

D(281367076)=548773
(ln281367076)=378.5036667750
281367076/378.5036667750=743366.8434373650
548773/743366.8434373650=0.73822636
【4(q182)^2】
D(300690390)=2632923
(ln300690390)=381.0925420597
300690390/381.0925420597=789021.9744916850
2632923/789021.9744916850=3.3369450853

D(284192164)=553095
(ln284192164)=378.8925005854
284192164/378.8925005854=750060.1451887139
553095/750060.1451887139=0.7374008652
【4(q183)^2】
D(300690390)=2632923
(ln300690390)=381.0925420597
300690390/381.0925420597=789021.9744916850
2632923/789021.9744916850=3.3369450853

D(291521476)=565432
(ln291521476)=379.8844330754
291521476/379.8844330754=767395.1618389649
565432/767395.1618389649=0.7368198656
【4(q184)^2】
D(300690390)=2632923
(ln300690390)=381.0925420597
300690390/381.0925420597=789021.9744916850
2632923/789021.9744916850=3.3369450853

D(295633636)=572606
(ln295633636)=380.4306511003
295633636/380.4306511003=777102.5682209203
572606/777102.5682209203=0.7368473911
【4(q185)^2】
D(300690390)=2632923
(ln300690390)=381.0925420597
300690390/381.0925420597=789021.9744916850
2632923/789021.9744916850=3.3369450853

D(297700516)=575952
(ln297700516)=380.7024783382
297700516/380.7024783382=781976.8268898303
575952/781976.8268898303=0.7365333347
【4(q186)^2】
D(317026710)=2640593
(ln317026710)=383.1609166332
317026710/383.1609166332=827398.3494602862
2640593/827398.3494602862=3.1914409809

D(311099044)=599329
(ln311099044)=382.4223474615
311099044/382.4223474615=813495.9843875745
599329/813495.9843875745=0.7367325857
【4(q187)^2】
D(317026710)=2640593
(ln317026710)=383.1609166332
317026710/383.1609166332=827398.3494602862
2640593/827398.3494602862=3.1914409809

D(312370276)=601259
(ln312370276)=382.5818572111
312370276/382.5818572111=816479.5849888960
601259/816479.5849888960=0.7364042054
【4(q188)^2】
D(317026710)=2640593
(ln317026710)=383.1609166332
317026710/383.1609166332=827398.3494602862
2640593/827398.3494602862=3.1914409809

D(314069284)=604418
(ln314069284)=382.7940837568
314069284/382.7940837568=820465.3554665102
604418/820465.3554665102=0.7366770528
【4(q189)^2】
D(328077750)=2701949
(ln328077750)=384.5035150512
328077750/384.5035150512=853250.3271298146
2701949/853250.3271298146=3.1666545140

D(321771844)=617197
(ln321771844)=383.7427624519
321771844/383.7427624519=838509.2188946034
617197/838509.2188946034=0.7360646563
【4(q190)^2】
D(328077750)=2701949
(ln328077750)=384.5035150512
328077750/384.5035150512=853250.3271298146
2701949/853250.3271298146=3.1666545140

D(323928004)=620992
(ln323928004)=384.0044638422
323928004/384.0044638422=843552.7044631247
620992/843552.7044631247=0.7361626567
【4(q191)^2】
D(328077750)=2701949
(ln328077750)=384.5035150512
328077750/384.5035150512=853250.3271298146
2701949/853250.3271298146=3.1666545140

D(324792484)=623141
(ln324792484)=384.1089251009
324792484/384.1089251009=845573.9056692879
623141/845573.9056692879=0.7369444537
【4(q192)^2】
D(328077750)=2701949
(ln328077750)=384.5035150512
328077750/384.5035150512=853250.3271298146
2701949/853250.3271298146=3.1666545140

D(326958724)=626286
(ln326958724)=384.3695327517
326958724/384.3695327517=850636.4218290242
626286/850636.4218290242=0.7362558009
【4(q193)^2】
D(358888530)=3066431
(ln358888530)=388.0317846190
358888530/388.0317846190=924894.6715856921
3066431/924894.6715856921=3.3154380647

D(341436484)=651294
(ln341436484)=386.0703203415
341436484/386.0703203415=884389.3612385978
651294/884389.3612385978=0.7364335535
【4(q194)^2】
D(358888530)=3066431
(ln358888530)=388.0317846190
358888530/388.0317846190=924894.6715856921
3066431/924894.6715856921=3.3154380647

D(344547844)=655813
(ln344547844)=386.4268802317
344547844/386.4268802317=891624.9402562537
655813/891624.9402562537=0.7355256346
【4(q195)^2】
D(358888530)=3066431
(ln358888530)=388.0317846190
358888530/388.0317846190=924894.6715856921
3066431/924894.6715856921=3.3154380647

D(349017124)=664455
(ln349017124)=386.9337453739
349017124/386.9337453739=902007.4577954926
664455/902007.4577954926=0.7366402509
【4(q196)^2】
D(358888530)=3066431
(ln358888530)=388.0317846190
358888530/388.0317846190=924894.6715856921
3066431/924894.6715856921=3.3154380647

D(354870244)=673853
(ln354870244)=387.5883154052
354870244/387.5883154052=915585.5063097162
673853/915585.5063097162=0.7359804140
【4(q197)^2】
D(358888530)=3066431
(ln358888530)=388.0317846190
358888530/388.0317846190=924894.6715856921
3066431/924894.6715856921=3.3154380647

D(355775044)=675497
(ln355775044)=387.6885859468
355775044/387.6885859468=917682.5341172688
675497/917682.5341172688=0.7360900692
【4(q198)^2】
D(358888530)=3066431
(ln358888530)=388.0317846190
358888530/388.0317846190=924894.6715856921
3066431/924894.6715856921=3.3154380647

D(356227876)=675909
(ln356227876)=387.7386782407
356227876/387.7386782407=918731.8572816232
675909/918731.8572816232=0.7356977933
【4(q199)^2】
D(358888530)=3066431
(ln358888530)=388.0317846190
358888530/388.0317846190=924894.6715856921
3066431/924894.6715856921=3.3154380647

D(358042084)=679159
(ln358042084)=387.9387617041
358042084/387.9387617041=922934.5436563937
679159/922934.5436563937=0.7358690870
【4(q200)^2】
D(378287910)=3126278
(ln378287910)=390.1085635079
378287910/390.1085635079=969699.0668402473
3126278/969699.0668402473=3.2239672151

D(370870564)=701234
(ln370870564)=389.3267124988
370870564/389.3267124988=952594.7028387966
701234/952594.7028387966=0.7361304844

小草

【4(q201)^2】
D(378287910)=3126278
(ln378287910)=390.1085635079
378287910/390.1085635079=969699.0668402473
3126278/969699.0668402473=3.2239672151
【4(q202)^2】
D(378287910)=3126278
(ln378287910)=390.1085635079
378287910/390.1085635079=969699.0668402473
3126278/969699.0668402473=3.2239672151
【4(q203)^2】
D(397687290)=3350671
(ln397687290)=392.0865928001
397687290/392.0865928001=1014284.3374467421
3350671/1014284.3374467421=3.3034829350
【4(q204)^2】
D(397687290)=3350671
(ln397687290)=392.0865928001
397687290/392.0865928001=1014284.3374467421
3350671/1014284.3374467421=3.3034829350
【4(q205)^2】
D(397687290)=3350671
(ln397687290)=392.0865928001
397687290/392.0865928001=1014284.3374467421
3350671/1014284.3374467421=3.3034829350
【4(q206)^2】
D(406816410)=3387779
(ln406816410)=392.9859232972
406816410/392.9859232972=1035193.3386996677
3387779/1035193.3386996677=3.2726051003
【4(q207)^2】
D(406816410)=3387779
(ln406816410)=392.9859232972
406816410/392.9859232972=1035193.3386996677
3387779/1035193.3386996677=3.2726051003
【4(q208)^2】
D(406816410)=3387779
(ln406816410)=392.9859232972
406816410/392.9859232972=1035193.3386996677
3387779/1035193.3386996677=3.2726051003
【4(q209)^2】
D(417086670)=3492745
(ln417086670)=393.9750440448
417086670/393.9750440448=1058662.6648173480
3492745/1058662.6648173480=3.2992048516
【4(q210)^2】
D(417086670)=3492745
(ln417086670)=393.9750440448
417086670/393.9750440448=1058662.6648173480
3492745/1058662.6648173480=3.2992048516
【4(q211)^2】
D(434444010)=3599690
(ln434444010)=395.5952984433
434444010/395.5952984433=1098203.1680092581
3599690/1098203.1680092581=3.2777996867
【4(q212)^2】
D(434444010)=3599690
(ln434444010)=395.5952984433
434444010/395.5952984433=1098203.1680092581
3599690/1098203.1680092581=3.2777996867
【4(q213)^2】
D(434444010)=3599690
(ln434444010)=395.5952984433
434444010/395.5952984433=1098203.1680092581
3599690/1098203.1680092581=3.2777996867
【4(q214)^2】
D(446185740)=3792532
(ln446185740)=396.6568499801
446185740/396.6568499801=1124865.8381227624
3792532/1124865.8381227624=3.3715416288
【4(q215)^2】
D(446185740)=3792532
(ln446185740)=396.6568499801
446185740/396.6568499801=1124865.8381227624
3792532/1124865.8381227624=3.3715416288
【4(q216)^2】
D(446185740)=3792532
(ln446185740)=396.6568499801
446185740/396.6568499801=1124865.8381227624
3792532/1124865.8381227624=3.3715416288
【4(q217)^2】
D(446185740)=3792532
(ln446185740)=396.6568499801
446185740/396.6568499801=1124865.8381227624
3792532/1124865.8381227624=3.3715416288
【4(q218)^2】
D(475284810)=3833104
(ln475284810)=399.1774146320
475284810/399.1774146320=1190660.5749179549
3833104/1190660.5749179549=3.2193087440
【4(q219)^2】
D(475284810)=3833104
(ln475284810)=399.1774146320
475284810/399.1774146320=1190660.5749179549
3833104/1190660.5749179549=3.2193087440
【4(q220)^2】
D(475284810)=3833104
(ln475284810)=399.1774146320
475284810/399.1774146320=1190660.5749179549
3833104/1190660.5749179549=3.2193087440
【4(q221)^2】
D(481410930)=3932461
(ln481410930)=399.6893318518
481410930/399.6893318518=1204462.7955656855
3932461/1204462.7955656855=3.2649086501
【4(q222)^2】
D(494684190)=3971605
(ln494684190)=400.7775822064
494684190/400.7775822064=1234311.0292661983
3971605/1234311.0292661983=3.2176695386
【4(q223)^2】
D(494684190)=3971605
(ln494684190)=400.7775822064
494684190/400.7775822064=1234311.0292661983
3971605/1234311.0292661983=3.2176695386
【4(q224)^2】
D(494684190)=3971605
(ln494684190)=400.7775822064
494684190/400.7775822064=1234311.0292661983
3971605/1234311.0292661983=3.2176695386
【4(q225)^2】
D(504383880)=4040159
(ln504383880)=401.5554372941
504383880/401.5554372941=1256075.3339534243
4040159/1256075.3339534243=3.2164941790
【4(q226)^2】
D(504383880)=4040159
(ln504383880)=401.5554372941
504383880/401.5554372941=1256075.3339534243
4040159/1256075.3339534243=3.2164941790

小草

【1】
T(18)=3
(ln)^2=8.3542488988
18/8.3542488988=2.1545922581
3/2.1545922581=1.3923748165
【2】
T(50)=6
(ln)^2=15.3039239950
50/15.3039239950=3.2671359330
6/3.2671359330=1.8364708794
【3】
T(242)=17
(ln)^2=30.1284373616
242/30.1284373616=8.0322785113
17/8.0322785113=2.1164604758
【4】
T(578)=26
(ln578)^2=
578/40.4441797911=14.2913023082
26/14.2913023082=1.8192883643
【5】
T(1682)=53
(ln1682)^2=55.1713042832
1682/55.1713042832=30.4868630868
53/30.4868630868=1.7384537021
【6】
T(3362)=89
(ln3362)^2=65.9391310237
3362/65.9391310237=50.9864165300
89/50.9864165300=1.7455629569
【7】
T(6962)=162
(ln6962)^2=78.2910337712
6962/78.2910337712=88.9246145395
162/88.9246145395=1.8217678068
【8】
T(10082)=208
(ln10082)^2=84.9808701041
10082/84.9808701041=118.6384651940
208/118.6384651940=1.7532256479
【9】
T(20402)=346
(ln20402)^2=98.4736336506
20402/98.4736336506=207.1823618532
346/207.1823618532=1.6700263329
【10】
T(22898)=387
(ln22898)^2=100.7776028060
22898/100.7776028060=227.2131839063
387/227.2131839063=1.7032462349
【11】
T(37538)=564
(ln37538)^2=110.9463858846
37538/110.9463858846=338.3436035406
564/338.3436035406=1.6669444733
【12】
T(44402)=641
(ln44402)^2=114.5122526396
44402/114.5122526396=387.7489000216
641/387.7489000216=1.6531317045
【13】
T(64082)=845
(ln64082)^2=122.4988263917
64082/122.4988263917=523.1233791179
845/523.1233791179=1.6152977170
【14】
T(72962)=942
(ln72962)^2=125.3883517385
72962/125.3883517385=581.8881817042
942/581.8881817042=1.6188677303
【15】
T(77618)=985
(ln77618)^2=126.7775706469
77618/126.7775706469=612.2376348115
985/612.2376348115=1.6088524194
【16】
T(103058)=1252
(ln103058)^2=133.2419390198
103058/133.2419390198=773.4651773920
1252/773.4651773920=1.6186895501
【17】
T(114242)=1362
(ln114242)^2=135.6310462383
114242/135.6310462383=842.2997769941
1362/842.2997769941=1.6170014966
【18】
T(144722)=1649
(ln144722)^2=141.1954683734
144722/141.1954683734=1024.9762380282
1649/1024.9762380282=1.6088177841
【19】
T(157922)=1784
(ln157922)^2=143.2774650909
157922/143.2774650909=1102.2110134333
1784/1102.2110134333=1.6185648467
【20】
T(193442)=2105
(ln193442)^2=148.1754288090
193442/148.1754288090=1305.4931006767
2105/1305.4931006767=1.6124175600
【21】
T(240818)=2508
(ln240818)^2=153.5566264567
240818/153.5566264567=1568.2683682029574
2508/1568.2683682029574=1.5992160850
【22】
T(351122)=3429
(ln351122)^2=163.0445268154
351122/163.0445268154=2153.5344169973
3429/2153.5344169973=1.5922661709
【23】
T(371522)=3585
(ln371522)^2=164.4899453357
371522/164.4899453357=2258.6304545349
3585/2258.6304545349=1.58724504613050
【24】
T(425042)=4003
(ln425042)^2=167.9601294723
425042/167.9601294723=2530.6124812800
4003/2530.6124812800=1.5818304974
【25】
T(542882)=4898
(ln542882)^2=174.3627093684
542882/174.3627093684=3113.5212452622
4898/3113.5212452622=1.5731384546
【26】
T(647522)=5688
(ln647522)^2=179.0487002108
647522/179.0487002108=3616.4574176615
5688/3616.4574176615=1.5728098919
【27】
T(717602)=6189
(ln717602)^2=181.8093668300
717602/181.8093668300=3947.0023602854
6189/3947.0023602854=1.5680254115
【28】
T(761378)=6483
(ln761378)^2=183.4097403088
761378/183.4097403088=4151.2408158809
6483/4151.2408158809=1.5617017387
【29】
T(821762)=6906
(ln821762)^2=185.4827746418
821762/185.4827746418=4430.3952298911
6906/4430.3952298911=1.5587774096
【30】
T(868562)=7242
(ln868562)^2=186.9945278902
868562/186.9945278902=4644.8524980902
7242/4644.8524980902=1.5591453126

小草

【31】
T(1308962)=10313
(ln1308962)^2=198.3800421285
1308962/198.3800421285=6598.2544713451
10313/6598.2544713451=1.5629891276
【32】
T(1348082)=10589
(ln1348082)^2=199.2104553175
1348082/199.210455317495=6767.1247367588
10589/6767.1247367588=1.5647709200
【33】
T(1367858)=10728
(ln1367858)^2=199.6217622315
1367858/199.6217622315=6852.2488966594
10728/6852.2488966594=1.5656173852
【34】
T(1468898)=11393
(ln1468898)^2=201.6406537048
1468898/201.6406537048=7284.7313922640
11393/7284.7313922640=1.5639560866
【35】
T(1552322)=11951
(ln1552322)^2=203.212507018
1552322/203.212507018=7638.9097441847
11951/7638.9097441847=1.5644902742
【36】
T(2076722)=15373
(ln2076722)^2=211.5948799686
2076722/211.5948799686=9814.6136631858
15373/9814.6136631858=1.5663377620
【37】
T(2125922)=15662
(ln2125922)^2=212.2766286506
2125922/212.2766286506=10014.8660430216
15662/10014.8660430216=1.5638751365
【38】
T(2200802)=16122
(ln2200802)^2=213.2865247724
2200802/213.2865247724=10318.5234151501
16122/10318.5234151501=1.5624328551
【39】
T(2251442)=16452
(ln2251442)^2=213.9515119728
2251442/213.9515119728=10523.1413381469
16452/10523.1413381469=1.5634114825
【40】
T(2380562)=17246
(ln2380562)^2=215.5860004956
2380562/215.5860004956=11042.2847240890
17246/11042.2847240890=1.5618144642
【41】
T(2649602)=18845
(ln2649602)^2=218.7417335474
2649602/218.7417335474=12112.9240270277
18845/12112.9240270277=1.5557762897
【42】
T(3020882)=21056
(3020882ln)^2=222.6380136091
3020882/222.6380136091=13568.5813533351
21056/13568.5813533351=1.5518203010
【43】
T(3261458)=22508
(ln3261458)^2=224.9305521385
3261458/224.9305521385=14499.8443697047
22508/14499.8443697047=1.5522925230
【44】
T(3323042)=22878
(ln3323042)^2=225.4920042641
3323042/225.4920042641=14736.8506960805
22878/14736.8506960805=1.5524348093
【45】
T(3385202)=23234
(ln3385202)^2=226.0489438229
3385202/226.0489438229=14975.5267277522
23234/14975.5267277522=1.5514646277
【46】
T(3479522)=23795
(ln3479522)^2=226.8760590245
3479522/226.8760590245=15336.6644984971
23795/15336.6644984971=1.5515107605
【47】
T(4072658)=27297
(ln4072658)^2=231.6425073257
4072658/231.6425073257=17581.6522063183
27297/17581.6522063183=1.5525844602
【48】
T(4210802)=28087
(ln4210802)^2=232.6590024419
4210802/232.6590024419=18098.5990475547
28087/18098.5990475547=1.5518880730
【49】
T(4386722)=29054
(ln4386722)^2=233.9092748532
4386722/233.9092748532=18753.9463869189
29054/18753.9463869189=1.5492205961
【50】
T(4422338)=29267
(ln4422338)^2=234.1566843969
4422338/234.1566843969=18886.2342810767
29267/18886.2342810767=1.5496471962
【51】
T(5164898)=33332
(ln5164898)^2=238.9310883814
5164898/238.9310883814=21616.6846892498
33332/21616.6846892498=1.5419570799
【52】
T(5242322)=33751
(ln5242322)^2=239.3912963961
5242322/239.3912963961=21898.5488567052
33751/21898.5488567052=1.5412436788
【53】
T(5557778)=35504
(ln5557778)^2=241.2029203673
5557778/241.2029203673=23041.9183629149
35504/23041.9183629149=1.5408439280
【54】
T(5759618)=36589
(ln5759618)^2=242.3122395734
5759618/242.3122395734=23769.4059950914
36589/23769.4059950914=1.5393316942
【55】
T(5923682)=37494
(ln5923682)^2=243.1874563115
5923682/243.1874563115=24358.5014204529
37494/24358.5014204529=1.5392572537
【56】
T(6386738)=40024
(ln6386738)^2=245.5405702396
6386738/245.5405702396=26010.9276188769
40024/26010.9276188769=1.5387378946
【57】
T(7001282)=43263
(ln7001282)^2=248.4281553918
7001282/248.4281553918=28182.3209167180
43263/28182.3209167180=1.5351113249
【58】
T(7046258)=43510
(ln7046258)^2=248.6300527538
7046258/248.6300527538=28340.3310338247
43510/28340.3310338247=1.5352678819
【59】
T(7457522)=45684
(ln7457522)^2=250.4221981133
7457522/250.4221981133=29779.7961050799
45684/29779.7961050799=1.5340602010
【60】
T(7597202)=46446
(ln7597202)^2=251.0098563889
7597202/251.0098563889=30266.5485303865
46446/30266.5485303865=1.5345654611
【61】
T(7976018)=48486
(ln7976018)^2=252.5540699520
7976018/252.5540699520=31581.4273019473
48486/31581.4273019473=1.5352694334
【62】
T(8217458)=49743
(ln8217458)^2=253.5028068532
8217458/253.5028068532=32415.6489705403
49743/32415.6489705403=1.5345366075
【63】
T(8661122)=52115
(ln8661122)^2=255.1800123417
8661122/255.1800123417=33941.2241598385
52115/33941.2241598385=1.5354484492
【64】
T(8711138)=52366
(ln8711138)^2=255.3640113238
8711138/255.3640113238=34112.6298684051
52366/34112.6298684051=1.5350912610
【65】
T(8912642)=53401
(ln8912642)^2=256.0954097282
8912642/256.0954097282=34802.0372932853
53401/34802.0372932853=1.5344216647
【66】
T(9065282)=54182
(ln9065282)^2=256.6391988329
9065282/256.6391988329=35323.0607063361
54182/35323.0607063361=1.5338987878
【67】
T(9167762)=54721
(ln9167762)^2=256.9994939222
9167762/256.9994939222=35672.2959259029
54721/35672.2959259029=1.5339915354
【68】
T(10008338)=59028
(ln10008338)^2=259.8198754450
10008338/259.8198754450=38520.2940416258
59028/38520.2940416258=1.5323870564