哥德巴赫偶数猜想证明
q1=3
【∑[k=1,1.q≠q+2]qk】=3
2*3^2=18
1/1=1
18^2=324
T(324)=20>3
ln324^2=33.4169955955
324/3=108
108/33.4169955955=3.2318883872
1/3.2318883872=0.3094166259
q2=5
【∑[k=1,2.q≠q+2]qk】=8
2*5^2=50
1/2=0.5
50^1.5=353
T(353)=21>8
ln353^2=34.4154474626
353/8=44.125
44.125/34.4154474626=1.2821277436
1/1.2821277436=0.7799534836
q3=11
【∑[k=1,3.q≠q+2]qk】=19
2*11^2=242
1/3=0.3333333333
242^1.3333333333=1508
T(1508)=50>19
ln1508^2=53.5610211244
1508/19=79.3684210526
79.3684210526/53.5610211244=1.4818317386
1/1.4818317386=0.6748404518
q4=17
【∑[k=1,4.q≠q+2]qk】=36
2*17^2=578
1/4=0.25
578^1.25=2834
T(2834)=80>36
ln2834^2=63.1936665914
2834/36=78.7222222222
78.7222222222/63.1936665914=1.2457296193
1/1.2457296193=0.8027424126
q5=29
【∑[k=1,5.q≠q+2]qk】=65
2*29^2=1682
1/5=0.2
1682^1.2=7430
T(7430)=167>65
ln7430^2=79.4465806397
7430/65=114.3076923077
114.3076923077/79.4465806397=1.4387993969
1/1.4387993969=0.6950239221
【∑[k=1,1.q≠q+2]qk】=3
2*3^2=18
1/1=1
18^2=324
T(324)=20>3
ln324^2=33.4169955955
324/3=108
108/33.4169955955=3.2318883872
1/3.2318883872=0.3094166259
q2=5
【∑[k=1,2.q≠q+2]qk】=8
2*5^2=50
1/2=0.5
50^1.5=353
T(353)=21>8
ln353^2=34.4154474626
353/8=44.125
44.125/34.4154474626=1.2821277436
1/1.2821277436=0.7799534836
q3=11
【∑[k=1,3.q≠q+2]qk】=19
2*11^2=242
1/3=0.3333333333
242^1.3333333333=1508
T(1508)=50>19
ln1508^2=53.5610211244
1508/19=79.3684210526
79.3684210526/53.5610211244=1.4818317386
1/1.4818317386=0.6748404518
q4=17
【∑[k=1,4.q≠q+2]qk】=36
2*17^2=578
1/4=0.25
578^1.25=2834
T(2834)=80>36
ln2834^2=63.1936665914
2834/36=78.7222222222
78.7222222222/63.1936665914=1.2457296193
1/1.2457296193=0.8027424126
q5=29
【∑[k=1,5.q≠q+2]qk】=65
2*29^2=1682
1/5=0.2
1682^1.2=7430
T(7430)=167>65
ln7430^2=79.4465806397
7430/65=114.3076923077
114.3076923077/79.4465806397=1.4387993969
1/1.4387993969=0.6950239221
q6=41
【∑[k=1,6.q≠q+2]qk】=106
2*41^2=3362
1/6=0.1666666667
3362^1.1666666667=13012
T(13012)=248>106
ln13012^2=89.7496139844
13012/106=122.7547169811
122.7547169811/89.7496139844=1.3677464619
1/1.3677464619=0.7311296559
q7=59
【∑[k=1,7.q≠q+2]qk】=165
2*59^2=6962
1/7=0.1428571429
6962^1.1428571429=24643
T(24643)=406>165
ln24643^2=102.2575629202
24643/165=149.3515151515
149.3515151515/102.2575629202=1.4605424859
1/1.4605424859=0.6846771043
q8=71
【∑[k=1,8.q≠q+2]qk】=236
2*71^2=10082
1/8=0.1250000000
10082^1.125=31914
T(31914)=491>236
ln31914^2=107.5534939675
31914/236=135.2288135593
135.2288135593/107.5534939675=1.2573167879
1/1.2573167879=0.7953445064
q9=101
【∑[k=1,9.q≠q+2]qk】=337
2*101^2=20402
1/9=0.1111111111
20402^1.1111111111=61450
T(61450)=824>337
ln61450^2=121.5722154444
61450/337=182.3442136499
182.3442136499/121.5722154444=1.4998839413
1/1.4998839413=0.6667182523
q10=107
【∑[k=1,10.q≠q+2]qk】=444
2*107^2=22898
1/10=0.1
22898^1.1=62485
T(62485)=831>444
ln62485^2=121.9408214884
62485/444=140.7319819820
140.7319819820/121.9408214884=1.1541006553
1/1.1541006553=0.8664755500
【∑[k=1,6.q≠q+2]qk】=106
2*41^2=3362
1/6=0.1666666667
3362^1.1666666667=13012
T(13012)=248>106
ln13012^2=89.7496139844
13012/106=122.7547169811
122.7547169811/89.7496139844=1.3677464619
1/1.3677464619=0.7311296559
q7=59
【∑[k=1,7.q≠q+2]qk】=165
2*59^2=6962
1/7=0.1428571429
6962^1.1428571429=24643
T(24643)=406>165
ln24643^2=102.2575629202
24643/165=149.3515151515
149.3515151515/102.2575629202=1.4605424859
1/1.4605424859=0.6846771043
q8=71
【∑[k=1,8.q≠q+2]qk】=236
2*71^2=10082
1/8=0.1250000000
10082^1.125=31914
T(31914)=491>236
ln31914^2=107.5534939675
31914/236=135.2288135593
135.2288135593/107.5534939675=1.2573167879
1/1.2573167879=0.7953445064
q9=101
【∑[k=1,9.q≠q+2]qk】=337
2*101^2=20402
1/9=0.1111111111
20402^1.1111111111=61450
T(61450)=824>337
ln61450^2=121.5722154444
61450/337=182.3442136499
182.3442136499/121.5722154444=1.4998839413
1/1.4998839413=0.6667182523
q10=107
【∑[k=1,10.q≠q+2]qk】=444
2*107^2=22898
1/10=0.1
22898^1.1=62485
T(62485)=831>444
ln62485^2=121.9408214884
62485/444=140.7319819820
140.7319819820/121.9408214884=1.1541006553
1/1.1541006553=0.8664755500
q11=137
【∑[k=1,11.q≠q+2]qk】=581
2*137^2=37538
1/11=0.0909090909
37538^1.0909090909=97798
T(97798)=1200>581
ln97798^2=132.0352535824
97798/581=168.3270223752
168.3270223752/132.0352535824=1.2748642337
1/1.2748642337=0.7843972508
q12=149
【∑[k=1,12.q≠q+2]qk】=730
2*149^2=44402
1/12=0.0833333333
44402^1.0833333333=108314
T(108314)=1301>730
ln108314^2=134.3927729171
108314/730=148.3753424658
148.3753424658/134.3927729171=1.1040425705
1/1.1040425705=0.9057621750
q13=179
【∑[k=1,13.q≠q+2]qk】=909
2*179^2=64082
1/13=0.0769230769
64082^1.0769230769=150136
T(150136)=1702>909
ln150136^2=142.0696368978
150136/909=165.1661166117
165.1661166117/142.0696368978=1.1625715404
1/1.1625715404=0.8601621193
q14=191
【∑[k=1,14.q≠q+2]qk】=1100
2*191^2=72962
1/14=0.0714285714
72962^1.0714285714=162353
T(162353)=1823>1100
ln162353^2=143.9406842535
162353/1100=147.5936363636
147.5936363636/143.9406842535=1.0253781766
1/1.0253781766=0.9752499349
q15=197
【∑[k=1,15.q≠q+2]qk】=1297
2*197^2=77618
1/15=0.0666666667
77618^1.0666666667=164422
T(164422)=1841>1297
ln164422^2=144.2447016106
164422/1297=126.7710100231
126.7710100231/144.2447016106=0.8788607734
1/0.8788607734=1.1378366520
【∑[k=1,11.q≠q+2]qk】=581
2*137^2=37538
1/11=0.0909090909
37538^1.0909090909=97798
T(97798)=1200>581
ln97798^2=132.0352535824
97798/581=168.3270223752
168.3270223752/132.0352535824=1.2748642337
1/1.2748642337=0.7843972508
q12=149
【∑[k=1,12.q≠q+2]qk】=730
2*149^2=44402
1/12=0.0833333333
44402^1.0833333333=108314
T(108314)=1301>730
ln108314^2=134.3927729171
108314/730=148.3753424658
148.3753424658/134.3927729171=1.1040425705
1/1.1040425705=0.9057621750
q13=179
【∑[k=1,13.q≠q+2]qk】=909
2*179^2=64082
1/13=0.0769230769
64082^1.0769230769=150136
T(150136)=1702>909
ln150136^2=142.0696368978
150136/909=165.1661166117
165.1661166117/142.0696368978=1.1625715404
1/1.1625715404=0.8601621193
q14=191
【∑[k=1,14.q≠q+2]qk】=1100
2*191^2=72962
1/14=0.0714285714
72962^1.0714285714=162353
T(162353)=1823>1100
ln162353^2=143.9406842535
162353/1100=147.5936363636
147.5936363636/143.9406842535=1.0253781766
1/1.0253781766=0.9752499349
q15=197
【∑[k=1,15.q≠q+2]qk】=1297
2*197^2=77618
1/15=0.0666666667
77618^1.0666666667=164422
T(164422)=1841>1297
ln164422^2=144.2447016106
164422/1297=126.7710100231
126.7710100231/144.2447016106=0.8788607734
1/0.8788607734=1.1378366520
q16=227
【∑[k=1,16.q≠q+2]qk】=1524
2*227^2=103058
1/16=0.0625000000
103058^1.0625=212030
T(212030)=2272>1524
ln212030^2=150.4175445598
212030/1524=139.1272965879
139.1272965879/150.4175445598=0.9249406178
1/0.9249406178=1.0811504877
q17=239
【∑[k=1,17.q≠q+2]qk】=1763
2*239^2=114242
1/17=0.0588235294
114242^1.0588235294=226644
T(226644)=2390>1763
ln226644^2=152.0569097111
226644/1763=128.5558706750
128.5558706750/152.0569097111=0.8454457671
1/0.8454457671=1.1828079800
q18=269
【∑[k=1,18.q≠q+2]qk】=2032
2*269^2=144722
1/18=0.0555555556
144722^1.0555555556=280046
T(280046)=2835>2032
ln280046^2=157.3195529319
280046/2032=137.8179133858
137.8179133858/157.3195529319=0.8760380437
1/0.8760380437=1.1415029372
q19=281
【∑[k=1,19.q≠q+2]qk】=2313
2*281^2=157922
1/19=0.0526315789
157922^1.0526315789=296513
T(296513)=2966>2313
ln296513^2=158.7561278244
296513/2313=128.1941201902
128.1941201902/158.7561278244=0.8074908474
1/0.8074908474=1.2384041296
q20=311
【∑[k=1,20.q≠q+2]qk】=2624
2*311^2=193442
1/20=0.05
193442^1.05=355531
T(355531)=3466>2624
ln355531^2=163.3633609345
355531/2624=135.4919969512
135.4919969512/163.3633609345=0.8293903613
1/0.8293903613=1.2057048727
【∑[k=1,16.q≠q+2]qk】=1524
2*227^2=103058
1/16=0.0625000000
103058^1.0625=212030
T(212030)=2272>1524
ln212030^2=150.4175445598
212030/1524=139.1272965879
139.1272965879/150.4175445598=0.9249406178
1/0.9249406178=1.0811504877
q17=239
【∑[k=1,17.q≠q+2]qk】=1763
2*239^2=114242
1/17=0.0588235294
114242^1.0588235294=226644
T(226644)=2390>1763
ln226644^2=152.0569097111
226644/1763=128.5558706750
128.5558706750/152.0569097111=0.8454457671
1/0.8454457671=1.1828079800
q18=269
【∑[k=1,18.q≠q+2]qk】=2032
2*269^2=144722
1/18=0.0555555556
144722^1.0555555556=280046
T(280046)=2835>2032
ln280046^2=157.3195529319
280046/2032=137.8179133858
137.8179133858/157.3195529319=0.8760380437
1/0.8760380437=1.1415029372
q19=281
【∑[k=1,19.q≠q+2]qk】=2313
2*281^2=157922
1/19=0.0526315789
157922^1.0526315789=296513
T(296513)=2966>2313
ln296513^2=158.7561278244
296513/2313=128.1941201902
128.1941201902/158.7561278244=0.8074908474
1/0.8074908474=1.2384041296
q20=311
【∑[k=1,20.q≠q+2]qk】=2624
2*311^2=193442
1/20=0.05
193442^1.05=355531
T(355531)=3466>2624
ln355531^2=163.3633609345
355531/2624=135.4919969512
135.4919969512/163.3633609345=0.8293903613
1/0.8293903613=1.2057048727
q21=347
【∑[k=1,21.q≠q+2]qk】=2971
2*347^2=240818
1/21=0.0476190476
240818^1.0476190476=434470
T(434470)=4089
ln434470^2=168.5292648419
434470/2971=146.2369572535
146.2369572535/168.5292648419=0.8677244121
1/0.8677244121=1.1524396295
q22=419
【∑[k=1,22.q≠q+2]qk】=3390
2*419^2=351122
1/22=0.0454545455
351122^1.0454545455=627370
T(627370)=5533>3390
ln627370^2=178.2035904188
627370/3390=185.0648967552
185.0648967552/178.2035904188=1.0385026268
1/1.0385026268=0.9629248633
q23=431
【∑[k=1,23.q≠q+2]qk】=3821
2*431^2=371522
1/23=0.0434782609
371522^1.0434782609=648870
T(648870)=5698>3821
ln648870^2=179.1043589085
648870/3821=169.8168018843
169.8168018843/179.1043589085=0.9481444389
1/0.9481444389=1.0546916261
q24=461
【∑[k=1,24.q≠q+2]qk】=4282
2*461^2=425042
1/24=0.0416666667
425042^1.0416666667=729373
T(729373)=6271>4282
ln729373^2=182.2483945808
729373/4282=170.3346567025
170.3346567025/182.2483945808=0.9346291203
1/0.9346291203=1.0699431232
q25=521
【∑[k=1,25.q≠q+2]qk】=4803
2*521^2=542882
1/25=0.04
542882^1.04=920648
T(920648)=7620>4803
ln920648^2=188.5907035490
920648/4803=191.6818655007
191.6818655007/188.5907035490=1.0163908501
1/1.0163908501=0.9838734773
【∑[k=1,21.q≠q+2]qk】=2971
2*347^2=240818
1/21=0.0476190476
240818^1.0476190476=434470
T(434470)=4089
ln434470^2=168.5292648419
434470/2971=146.2369572535
146.2369572535/168.5292648419=0.8677244121
1/0.8677244121=1.1524396295
q22=419
【∑[k=1,22.q≠q+2]qk】=3390
2*419^2=351122
1/22=0.0454545455
351122^1.0454545455=627370
T(627370)=5533>3390
ln627370^2=178.2035904188
627370/3390=185.0648967552
185.0648967552/178.2035904188=1.0385026268
1/1.0385026268=0.9629248633
q23=431
【∑[k=1,23.q≠q+2]qk】=3821
2*431^2=371522
1/23=0.0434782609
371522^1.0434782609=648870
T(648870)=5698>3821
ln648870^2=179.1043589085
648870/3821=169.8168018843
169.8168018843/179.1043589085=0.9481444389
1/0.9481444389=1.0546916261
q24=461
【∑[k=1,24.q≠q+2]qk】=4282
2*461^2=425042
1/24=0.0416666667
425042^1.0416666667=729373
T(729373)=6271>4282
ln729373^2=182.2483945808
729373/4282=170.3346567025
170.3346567025/182.2483945808=0.9346291203
1/0.9346291203=1.0699431232
q25=521
【∑[k=1,25.q≠q+2]qk】=4803
2*521^2=542882
1/25=0.04
542882^1.04=920648
T(920648)=7620>4803
ln920648^2=188.5907035490
920648/4803=191.6818655007
191.6818655007/188.5907035490=1.0163908501
1/1.0163908501=0.9838734773
q26=569
【∑[k=1,26.q≠q+2]qk】=5372
2*569^2=647522
1/26=0.0384615385
647522^1.0384615385=1083338
T(1083338)
ln1083338^2=193.0865202729
1083338/5372=201.6638123604
201.6638123604/193.0865202729=1.0444220139
1/1.0444220139=0.9574673711
q27=599
【∑[k=1,27.q≠q+2]qk】=5971
2*599^2=717602
1/27=0.0370370370
717602^1.0370370370=1182410
T(1182410)
ln1182410^2=195.5261148065
1182410/5971=198.0254563725
198.0254563725/195.5261148065=1.0127826483
1/1.0127826483=0.9873786855
q28=617
【∑[k=1,28.q≠q+2]qk】=6588
2*617^2=761378
1/28=0.0357142857
761378^1.0357142857=1234973
T(1234973)
ln1234973^2=196.7443760498
1234973/6588=187.4579538555
187.4579538555/196.7443760498=0.9527995545
1/0.9527995545=1.0495386939
q29=641
【∑[k=1,29.q≠q+2]qk】=7229
2*641^2=821762
1/29=0.0344827586
821762^1.0344827586=1314325
T(1314325)
ln1314325^2=198.4952373875
1314325/7229=181.8128371836
181.8128371836/198.4952373875=0.9159556651
1/0.9159556651=1.0917558983
q30=659
【∑[k=1,30.q≠q+2]qk】=7888
2*659^2=868562
1/30=0.0333333333
868562^1.0333333333=1370127
T(1370127)
ln1370127^2=199.6685996475
1370127/7888=173.6976419878
173.6976419878/199.6685996475=0.8699296850
1/0.8699296850=1.1495181935
【∑[k=1,26.q≠q+2]qk】=5372
2*569^2=647522
1/26=0.0384615385
647522^1.0384615385=1083338
T(1083338)
ln1083338^2=193.0865202729
1083338/5372=201.6638123604
201.6638123604/193.0865202729=1.0444220139
1/1.0444220139=0.9574673711
q27=599
【∑[k=1,27.q≠q+2]qk】=5971
2*599^2=717602
1/27=0.0370370370
717602^1.0370370370=1182410
T(1182410)
ln1182410^2=195.5261148065
1182410/5971=198.0254563725
198.0254563725/195.5261148065=1.0127826483
1/1.0127826483=0.9873786855
q28=617
【∑[k=1,28.q≠q+2]qk】=6588
2*617^2=761378
1/28=0.0357142857
761378^1.0357142857=1234973
T(1234973)
ln1234973^2=196.7443760498
1234973/6588=187.4579538555
187.4579538555/196.7443760498=0.9527995545
1/0.9527995545=1.0495386939
q29=641
【∑[k=1,29.q≠q+2]qk】=7229
2*641^2=821762
1/29=0.0344827586
821762^1.0344827586=1314325
T(1314325)
ln1314325^2=198.4952373875
1314325/7229=181.8128371836
181.8128371836/198.4952373875=0.9159556651
1/0.9159556651=1.0917558983
q30=659
【∑[k=1,30.q≠q+2]qk】=7888
2*659^2=868562
1/30=0.0333333333
868562^1.0333333333=1370127
T(1370127)
ln1370127^2=199.6685996475
1370127/7888=173.6976419878
173.6976419878/199.6685996475=0.8699296850
1/0.8699296850=1.1495181935
@北方天书 2016-05-07 05:27:47
支持楼主很有意义的探索。
-----------------------------
谢谢朋友支持！
支持楼主很有意义的探索。
-----------------------------
谢谢朋友支持！
q31=809
【∑[k=1,31.q≠q+2]qk】=8697
2*809^2=1308962
1/31=0.0322580645
1308962^1.0322580645=2061803
T(2061803)
ln2061803^2=211.3851787579
2061803/8697=237.0705990571
237.0705990571/211.3851787579=1.1215100342
1/1.1215100342=0.8916549737
q32=821
【∑[k=1,32.q≠q+2]qk】=9518
2*821^2=1348082
1/32=0.0312500000
1348082^1.0312500000=2095414
T(2095414)
ln2095414^2=211.8556433069
2095414/9518=220.1527631855
220.1527631855/211.8556433069=1.0391640258
1/1.0391640258=0.9623119885
q33=827
【∑[k=1,33.q≠q+2]qk】=10345
2*827^2=1367858
1/33=0.0303030303
1367858^1.0303030303=2098851
T(2098851)
ln2098851^2=211.9033553723
2098851/10345=202.8855485742
202.8855485742/211.9033553723=0.9574437753
1/0.9574437753=1.0444477533
q34=857
【∑[k=1,34.q≠q+2]qk】=11202
2*857^2=1468898
1/34=0.0294117647
1468898^1.0294117647=2230353
T(2230353)
ln2230353^2=213.6762887095
2230353/11202=199.1031065881
199.1031065881/213.6762887095=0.9317978508
1/0.9317978508=1.0731941474
q35=881
【∑[k=1,35.q≠q+2]qk】=12083
2*881^2=1552322
1/35=0.0285714286
1552322^1.0285714286=2332743
T(2332743)
ln2332743^2=214.9905304563
2332743/12083=193.0599188943
193.0599188943/214.9905304563=0.8979926627
1/0.8979926627=1.1135948450
【∑[k=1,31.q≠q+2]qk】=8697
2*809^2=1308962
1/31=0.0322580645
1308962^1.0322580645=2061803
T(2061803)
ln2061803^2=211.3851787579
2061803/8697=237.0705990571
237.0705990571/211.3851787579=1.1215100342
1/1.1215100342=0.8916549737
q32=821
【∑[k=1,32.q≠q+2]qk】=9518
2*821^2=1348082
1/32=0.0312500000
1348082^1.0312500000=2095414
T(2095414)
ln2095414^2=211.8556433069
2095414/9518=220.1527631855
220.1527631855/211.8556433069=1.0391640258
1/1.0391640258=0.9623119885
q33=827
【∑[k=1,33.q≠q+2]qk】=10345
2*827^2=1367858
1/33=0.0303030303
1367858^1.0303030303=2098851
T(2098851)
ln2098851^2=211.9033553723
2098851/10345=202.8855485742
202.8855485742/211.9033553723=0.9574437753
1/0.9574437753=1.0444477533
q34=857
【∑[k=1,34.q≠q+2]qk】=11202
2*857^2=1468898
1/34=0.0294117647
1468898^1.0294117647=2230353
T(2230353)
ln2230353^2=213.6762887095
2230353/11202=199.1031065881
199.1031065881/213.6762887095=0.9317978508
1/0.9317978508=1.0731941474
q35=881
【∑[k=1,35.q≠q+2]qk】=12083
2*881^2=1552322
1/35=0.0285714286
1552322^1.0285714286=2332743
T(2332743)
ln2332743^2=214.9905304563
2332743/12083=193.0599188943
193.0599188943/214.9905304563=0.8979926627
1/0.8979926627=1.1135948450
q36=1019
【∑[k=1,36.q≠q+2]qk】=13102
2*1019^2=2076722
1/36=0.0277777778
2076722^1.0277777778=3110721
T(3110721)>13102
ln3110721^2=223.5134163273
3110721/13102=237.4233704778
237.4233704778/223.5134163273=1.0622331956
1/1.0622331956=0.9414128688
q37=1031
【∑[k=1,37.q≠q+2]qk】=14133
2*1031^2=2125922
1/37=0.0270270270
2125922^1.0270270270=3151825
T(3151825)>14133
ln3151825^2=223.9060990619
3151825/14133=223.0117455600
223.0117455600/223.9060990619=0.9960056760
1/0.9960056760=1.0040103426
q38=1049
【∑[k=1,38.q≠q+2]qk】=15182
2*1049^2=2200802
1/38=0.0263157895
2200802^1.0263157895=3232146
T(3232146)>15182
ln3232146^2=224.6598347936
3232146/15182=212.8932946911
212.8932946911/224.6598347936=0.9476250834
1/0.9476250834=1.0552696605
q39=1061
【∑[k=1,39.q≠q+2]qk】=16243
2*1061^2=2251442
1/39=0.0256410256
2251442^1.0256410256=3276003
T(3276003)>16243
ln3276003^2=225.0640437477
3276003/16243=201.6870651973
201.6870651973/225.0640437477=0.8961318825
1/0.8961318825=1.1159071779
q40=1091
【∑[k=1,40.q≠q+2]qk】=17334
2*1091^2=2380562
1/40=0.025
2380562^1.025=3436342
T(3436342)>【∑[k=1,40.q≠q+2]qk】=17334
ln3436342^2=226.5000345609
3436342/17334=198.2428752740
198.2428752740/226.5000345609=0.8752443489
1/0.8752443489=1.1425380824
【∑[k=1,36.q≠q+2]qk】=13102
2*1019^2=2076722
1/36=0.0277777778
2076722^1.0277777778=3110721
T(3110721)>13102
ln3110721^2=223.5134163273
3110721/13102=237.4233704778
237.4233704778/223.5134163273=1.0622331956
1/1.0622331956=0.9414128688
q37=1031
【∑[k=1,37.q≠q+2]qk】=14133
2*1031^2=2125922
1/37=0.0270270270
2125922^1.0270270270=3151825
T(3151825)>14133
ln3151825^2=223.9060990619
3151825/14133=223.0117455600
223.0117455600/223.9060990619=0.9960056760
1/0.9960056760=1.0040103426
q38=1049
【∑[k=1,38.q≠q+2]qk】=15182
2*1049^2=2200802
1/38=0.0263157895
2200802^1.0263157895=3232146
T(3232146)>15182
ln3232146^2=224.6598347936
3232146/15182=212.8932946911
212.8932946911/224.6598347936=0.9476250834
1/0.9476250834=1.0552696605
q39=1061
【∑[k=1,39.q≠q+2]qk】=16243
2*1061^2=2251442
1/39=0.0256410256
2251442^1.0256410256=3276003
T(3276003)>16243
ln3276003^2=225.0640437477
3276003/16243=201.6870651973
201.6870651973/225.0640437477=0.8961318825
1/0.8961318825=1.1159071779
q40=1091
【∑[k=1,40.q≠q+2]qk】=17334
2*1091^2=2380562
1/40=0.025
2380562^1.025=3436342
T(3436342)>【∑[k=1,40.q≠q+2]qk】=17334
ln3436342^2=226.5000345609
3436342/17334=198.2428752740
198.2428752740/226.5000345609=0.8752443489
1/0.8752443489=1.1425380824
q41=1151
【∑[k=1,41.q≠q+2]qk】=18485
2*1151^2=2649602
1/41=0.0243902439
2649602^1.0243902439=3800524
T(3800524)
ln3800524^2=229.5421805718
3800524/18485=205.6004327833
205.6004327833/229.5421805718=0.8956978289
1/0.8956978289=1.1164479445
q42=1229
【∑[k=1,42.q≠q+2]qk】=19714
2*1229^2=3020882
1/42=0.0238095238
3020882^1.0238095238=4309458
T(4309458)
ln4309458^2=233.3660352376
4309458/19714=218.5988637516
218.5988637516/233.3660352376=0.9367209908
1/0.9367209908=1.0675537431
q43=1277
【∑[k=1,43.q≠q+2]qk】=20991
2*1277^2=3261458
1/43=0.0232558140
3261458^1.0232558140=4622601
T(4622601)
ln4622601^2=235.5140828896
4622601/20991=220.2182363870
220.2182363870/235.5140828896=0.9350533679
1/0.9350533679=1.0694576741
q44=1289
【∑[k=1,44.q≠q+2]qk】=22280
2*1289^2=3323042
1/44=0.0227272727
3323042^1.0227272727=4674687
T(4674687)
ln4674687^2=235.8581128060
4674687/22280=209.8153949731
209.8153949731/235.8581128060=0.8895831162
1/0.8895831162=1.1241220542
q45=1301
【∑[k=1,45.q≠q+2]qk】=23581
2*1301^2=3385202
1/45=0.0222222222
3385202^1.0222222222=4728097
T(4728097)
ln4728097^2=236.2071862333
4728097/23581=200.5045163479
200.5045163479/236.2071862333=0.8488501961
1/0.8488501961=1.1780641680
【∑[k=1,41.q≠q+2]qk】=18485
2*1151^2=2649602
1/41=0.0243902439
2649602^1.0243902439=3800524
T(3800524)
ln3800524^2=229.5421805718
3800524/18485=205.6004327833
205.6004327833/229.5421805718=0.8956978289
1/0.8956978289=1.1164479445
q42=1229
【∑[k=1,42.q≠q+2]qk】=19714
2*1229^2=3020882
1/42=0.0238095238
3020882^1.0238095238=4309458
T(4309458)
ln4309458^2=233.3660352376
4309458/19714=218.5988637516
218.5988637516/233.3660352376=0.9367209908
1/0.9367209908=1.0675537431
q43=1277
【∑[k=1,43.q≠q+2]qk】=20991
2*1277^2=3261458
1/43=0.0232558140
3261458^1.0232558140=4622601
T(4622601)
ln4622601^2=235.5140828896
4622601/20991=220.2182363870
220.2182363870/235.5140828896=0.9350533679
1/0.9350533679=1.0694576741
q44=1289
【∑[k=1,44.q≠q+2]qk】=22280
2*1289^2=3323042
1/44=0.0227272727
3323042^1.0227272727=4674687
T(4674687)
ln4674687^2=235.8581128060
4674687/22280=209.8153949731
209.8153949731/235.8581128060=0.8895831162
1/0.8895831162=1.1241220542
q45=1301
【∑[k=1,45.q≠q+2]qk】=23581
2*1301^2=3385202
1/45=0.0222222222
3385202^1.0222222222=4728097
T(4728097)
ln4728097^2=236.2071862333
4728097/23581=200.5045163479
200.5045163479/236.2071862333=0.8488501961
1/0.8488501961=1.1780641680
q46=1319
【∑[k=1,46.q≠q+2]qk】=24900
2*1319^2=3479522
1/46=0.0217391304
3479522^1.0217391304=4827547
T(4827547)>24900
ln4827547^2=236.8474531385
4827547/24900=193.8773895582
193.8773895582/236.8474531385=0.8185749392
1/0.8185749392=1.2216352494
q47=1427
【∑[k=1,47.q≠q+2]qk】=26327
2*1427^2=4072658
1/47=0.0212765957
4072658^1.0212765957=5630068
T(5630068)>26327
ln5630068^2=241.6044981824
5630068/26327=213.8514832681
213.8514832681/241.6044981824=0.8851303882
1/0.8851303882=1.1297770513
q48=1451
【∑[k=1,48.q≠q+2]qk】=27778
2*1451^2=4210802
1/48=0.0208333333
4210802^1.0208333333=5785919
T(5785919)>27778
ln5785919^2=242.4541028846
5785919/27778=208.2914176687
208.2914176687/242.4541028846=0.8590962792
1/0.8590962792=1.1640138879
q49=1481
【∑[k=1,49.q≠q+2]qk】=29259
2*1481^2=4386722
1/49=0.0204081633
4386722^1.0204081633=5993686
T(5993686)>29259
ln5993686^2=243.5540134146
5993686/29259=204.8493113230
204.8493113230/243.5540134146=0.8410837023
1/0.8410837023=1.1889423101
q50=1487
【∑[k=1,50.q≠q+2]qk】=30746
2*1487^2=4422338
1/50=0.02
4422338^1.02=6005718
T(6005718)>30746
ln6005718^2=243.6166119008
6005718/30746=195.3333116503
195.3333116503/243.6166119008=0.8018062074
1/0.8018062074=1.2471841584
【∑[k=1,46.q≠q+2]qk】=24900
2*1319^2=3479522
1/46=0.0217391304
3479522^1.0217391304=4827547
T(4827547)>24900
ln4827547^2=236.8474531385
4827547/24900=193.8773895582
193.8773895582/236.8474531385=0.8185749392
1/0.8185749392=1.2216352494
q47=1427
【∑[k=1,47.q≠q+2]qk】=26327
2*1427^2=4072658
1/47=0.0212765957
4072658^1.0212765957=5630068
T(5630068)>26327
ln5630068^2=241.6044981824
5630068/26327=213.8514832681
213.8514832681/241.6044981824=0.8851303882
1/0.8851303882=1.1297770513
q48=1451
【∑[k=1,48.q≠q+2]qk】=27778
2*1451^2=4210802
1/48=0.0208333333
4210802^1.0208333333=5785919
T(5785919)>27778
ln5785919^2=242.4541028846
5785919/27778=208.2914176687
208.2914176687/242.4541028846=0.8590962792
1/0.8590962792=1.1640138879
q49=1481
【∑[k=1,49.q≠q+2]qk】=29259
2*1481^2=4386722
1/49=0.0204081633
4386722^1.0204081633=5993686
T(5993686)>29259
ln5993686^2=243.5540134146
5993686/29259=204.8493113230
204.8493113230/243.5540134146=0.8410837023
1/0.8410837023=1.1889423101
q50=1487
【∑[k=1,50.q≠q+2]qk】=30746
2*1487^2=4422338
1/50=0.02
4422338^1.02=6005718
T(6005718)>30746
ln6005718^2=243.6166119008
6005718/30746=195.3333116503
195.3333116503/243.6166119008=0.8018062074
1/0.8018062074=1.2471841584
q100=3821
【∑[k=1,100.q≠q+2]qk】=163992
2*3821^2=29200082
1/100=0.01
29200082^1.01=34676712
T(34676712)
ln34676712^2=301.4244217516
34676712/163992=211.4536806673
211.4536806673/301.4244217516=0.7015147593
1/0.7015147593=1.4254867581
q200=9629
【∑[k=1,200.q≠q+2]qk】=814052
2*9629^2=185435282
1/200=0.005
185435282^1.005=203954518
T(203954518)
ln203954518^2=366.0872854693
203954518/814052=250.5423707576
250.5423707576/366.0872854693=0.6843787826
1/0.6843787826=1.4611791385
q300=17207
【∑[k=1,300.q≠q+2]qk】=2141494
2*17207^2=592161698
1/300=0.0033333333
592161698^1.0033333333=633405427
T(633405427)
ln633405427^2=410.7359373003
633405427/2141494=295.7773531002
295.7773531002/410.7359373003=0.7201155931
1/0.7201155931=1.3886659442
q400=23741
【∑[k=1,400.q≠q+2]qk】=4189920
2*23741^2=1127270162
1/400=0.0025
1127270162^1.0025=1187566892
T(1187566892)
ln1187566892^2=436.6082305618
1187566892/4189920=283.4342641387
283.4342641387/436.6082305618=0.6491729754
1/0.6491729754=1.5404214869
q500=32411
【∑[k=1,500.q≠q+2]qk】=7036532
2*32411^2=2100945842
1/500=0.002
2100945842^1.002=2193106323
T(2193106323)
ln2193106323^2=462.6192195869
2193106323/7036532=311.6743195370
311.6743195370/462.6192195869=0.6737167553
1/0.6737167553=1.4843032953
q600=41141
【∑[k=1,600.q≠q+2]qk】=10664032
2*41141^2=3385163762
1/600=0.0016666667
3385163762^1.0016666667=3511254560
T(3511254560)
ln3511254560^2=483.0869573538
3511254560/10664032=329.2614425763
329.2614425763/483.0869573538=0.6815780007
1/0.6815780007=1.4671835050
q700=49667
【∑[k=1,700.q≠q+2]qk】=15219834
2*49667^2=4933621778
1/700=0.0014285714
4933621778^1.0014285714=5093463894
T(5093463894)
ln5093463894^2=499.5772127470
5093463894/15219834=334.6596220432
334.6596220432/499.5772127470=0.6698856823
1/0.6698856823=1.4927920187
q800=58907
【∑[k=1,800.q≠q+2]qk】=20649236
2*58907^2=6940069298
1/800=0.00125
6940069298^1.00125=7139462416
T(7139462416)
ln7139462416^2=514.7863338008
7139462416/20649236=345.7494706342
345.7494706342/514.7863338008=0.6716368480
1/0.6716368480=1.4888998467
q900=69497
【∑[k=1,900.q≠q+2]qk】=27085306
2*69497^2=9659666018
1/900=0.0011111111
9659666018^1.0011111111=9909608867
T(9909608867)
ln9909608867^2=529.7717341929
9909608867/27085306=365.8666018763
365.8666018763/529.7717341929=0.6906117829
1/0.6906117829=1.4479915124
q1000=79559
【∑[k=1,1000.q≠q+2]qk】=34354616
2*79559^2=12659268962
1/1000=0.001
12659268962^1.001=12957196222
T(12957196222)
ln12957196222^2=542.1873673157
12957196222/34354616=377.1602692925
377.1602692925/542.1873673157=0.6956271799
1/0.6956271799=1.4375516496
q2000=182027
【∑[k=1,2000.q≠q+2]qk】=163443155
2*182027^2=66267657458
1/2000=0.0005
66267657458^1.0005=67098416253
T(67098416253)
ln67098416253^2=621.4762945453
67098416253/163443155=410.5305985619
410.5305985619/621.4762945453=0.6605732224
1/0.6605732224=1.5138367195
【∑[k=1,100.q≠q+2]qk】=163992
2*3821^2=29200082
1/100=0.01
29200082^1.01=34676712
T(34676712)
ln34676712^2=301.4244217516
34676712/163992=211.4536806673
211.4536806673/301.4244217516=0.7015147593
1/0.7015147593=1.4254867581
q200=9629
【∑[k=1,200.q≠q+2]qk】=814052
2*9629^2=185435282
1/200=0.005
185435282^1.005=203954518
T(203954518)
ln203954518^2=366.0872854693
203954518/814052=250.5423707576
250.5423707576/366.0872854693=0.6843787826
1/0.6843787826=1.4611791385
q300=17207
【∑[k=1,300.q≠q+2]qk】=2141494
2*17207^2=592161698
1/300=0.0033333333
592161698^1.0033333333=633405427
T(633405427)
ln633405427^2=410.7359373003
633405427/2141494=295.7773531002
295.7773531002/410.7359373003=0.7201155931
1/0.7201155931=1.3886659442
q400=23741
【∑[k=1,400.q≠q+2]qk】=4189920
2*23741^2=1127270162
1/400=0.0025
1127270162^1.0025=1187566892
T(1187566892)
ln1187566892^2=436.6082305618
1187566892/4189920=283.4342641387
283.4342641387/436.6082305618=0.6491729754
1/0.6491729754=1.5404214869
q500=32411
【∑[k=1,500.q≠q+2]qk】=7036532
2*32411^2=2100945842
1/500=0.002
2100945842^1.002=2193106323
T(2193106323)
ln2193106323^2=462.6192195869
2193106323/7036532=311.6743195370
311.6743195370/462.6192195869=0.6737167553
1/0.6737167553=1.4843032953
q600=41141
【∑[k=1,600.q≠q+2]qk】=10664032
2*41141^2=3385163762
1/600=0.0016666667
3385163762^1.0016666667=3511254560
T(3511254560)
ln3511254560^2=483.0869573538
3511254560/10664032=329.2614425763
329.2614425763/483.0869573538=0.6815780007
1/0.6815780007=1.4671835050
q700=49667
【∑[k=1,700.q≠q+2]qk】=15219834
2*49667^2=4933621778
1/700=0.0014285714
4933621778^1.0014285714=5093463894
T(5093463894)
ln5093463894^2=499.5772127470
5093463894/15219834=334.6596220432
334.6596220432/499.5772127470=0.6698856823
1/0.6698856823=1.4927920187
q800=58907
【∑[k=1,800.q≠q+2]qk】=20649236
2*58907^2=6940069298
1/800=0.00125
6940069298^1.00125=7139462416
T(7139462416)
ln7139462416^2=514.7863338008
7139462416/20649236=345.7494706342
345.7494706342/514.7863338008=0.6716368480
1/0.6716368480=1.4888998467
q900=69497
【∑[k=1,900.q≠q+2]qk】=27085306
2*69497^2=9659666018
1/900=0.0011111111
9659666018^1.0011111111=9909608867
T(9909608867)
ln9909608867^2=529.7717341929
9909608867/27085306=365.8666018763
365.8666018763/529.7717341929=0.6906117829
1/0.6906117829=1.4479915124
q1000=79559
【∑[k=1,1000.q≠q+2]qk】=34354616
2*79559^2=12659268962
1/1000=0.001
12659268962^1.001=12957196222
T(12957196222)
ln12957196222^2=542.1873673157
12957196222/34354616=377.1602692925
377.1602692925/542.1873673157=0.6956271799
1/0.6956271799=1.4375516496
q2000=182027
【∑[k=1,2000.q≠q+2]qk】=163443155
2*182027^2=66267657458
1/2000=0.0005
66267657458^1.0005=67098416253
T(67098416253)
ln67098416253^2=621.4762945453
67098416253/163443155=410.5305985619
410.5305985619/621.4762945453=0.6605732224
1/0.6605732224=1.5138367195
这是孪生素数T(x)的上界
q1=3
【∑[k=1,1.q≠q+2]qk】=3
2*3^2=18
1/1=1
1-1=0
18^0=1
T(1)=0<3
q2=5
【∑[k=1,2.q≠q+2]qk】=8
2*5^2=50
1/2=0.5
1-0.5=0.5
50^0.5=8
T(8)=2<8
ln8^2=4.3240771253
8/8=1
1/4.3240771253=0.2312632201
1/0.2312632201=4.3240771255
q3=11
【∑[k=1,3.q≠q+2]qk】=19
2*11^2=242
1/3=0.3333333333
1-0.3333333333=0.6666666667
242^0.6666666667=39
T(39)=5<19
ln39^2=13.4216839348
36/19=1.8947368421
1.8947368421/13.4216839348=0.1411698302
1/0.1411698302=7.0836665213
q4=17
【∑[k=1,4.q≠q+2]qk】=36
2*17^2=578
1/4=0.25
1-0.25=0.75
578^0.75=118
T(118)=10<36
ln118^2=22.7594317864
118/36=3.2777777778
3.2777777778/22.7594317864=0.1440184363
1/0.1440184363=6.9435554620
q5=29
【∑[k=1,5.q≠q+2]qk】=65
2*29^2=1682
1/5=0.2
1-0.2=0.8
1682^0.8=381
T(381)=21<65
ln381^2=35.3168644127
381/65=5.8615384615
5.8615384615/35.3168644127=0.1659699568
1/0.1659699568=6.0251868427
q1=3
【∑[k=1,1.q≠q+2]qk】=3
2*3^2=18
1/1=1
1-1=0
18^0=1
T(1)=0<3
q2=5
【∑[k=1,2.q≠q+2]qk】=8
2*5^2=50
1/2=0.5
1-0.5=0.5
50^0.5=8
T(8)=2<8
ln8^2=4.3240771253
8/8=1
1/4.3240771253=0.2312632201
1/0.2312632201=4.3240771255
q3=11
【∑[k=1,3.q≠q+2]qk】=19
2*11^2=242
1/3=0.3333333333
1-0.3333333333=0.6666666667
242^0.6666666667=39
T(39)=5<19
ln39^2=13.4216839348
36/19=1.8947368421
1.8947368421/13.4216839348=0.1411698302
1/0.1411698302=7.0836665213
q4=17
【∑[k=1,4.q≠q+2]qk】=36
2*17^2=578
1/4=0.25
1-0.25=0.75
578^0.75=118
T(118)=10<36
ln118^2=22.7594317864
118/36=3.2777777778
3.2777777778/22.7594317864=0.1440184363
1/0.1440184363=6.9435554620
q5=29
【∑[k=1,5.q≠q+2]qk】=65
2*29^2=1682
1/5=0.2
1-0.2=0.8
1682^0.8=381
T(381)=21<65
ln381^2=35.3168644127
381/65=5.8615384615
5.8615384615/35.3168644127=0.1659699568
1/0.1659699568=6.0251868427
q6=41
【∑[k=1,6.q≠q+2]qk】=106
2*41^2=3362
1/6=0.1666666667
1-0.1666666667=0.8333333333
3362^0.8333333333=869
T(869)=34<106
ln869^2=45.7969329755
869/106=8.1981132075
8.1981132075/45.7969329755=0.1790100925
1/0.1790100925=5.5862772095
q7=59
【∑[k=1,7.q≠q+2]qk】=165
2*59^2=6962
1/7=0.1428571429
1-0.1428571429=0.8571428571
6962^0.8571428571=1967
T(1967)=60<165
ln1967^2=57.5210728356
1967/165=11.9212121212
11.9212121212/57.5210728356=0.2072494746
1/0.2072494746=4.8251027026
q8=71
【∑[k=1,8.q≠q+2]qk】=236
2*71^2=10082
1/8=0.1250000000
1-0.1250000000=0.8750000000
10082^0.8750000000=3185
T(3185)=84<236
ln3185^2=65.0637045301
3185/236=13.4957627119
13.4957627119/65.0637045301=0.2074238288
1/0.2074238288=4.8210468671
q9=101
【∑[k=1,9.q≠q+2]qk】=337
2*101^2=20402
1/9=0.1111111111
1-0.1111111111=0.8888888889
20402^0.8888888889=6774
T(6774)=156<337
ln6774^2=77.8073423866
6774/337=20.1008902077
20.1008902077/77.8073423866=0.2583418170
1/0.2583418170=3.8708406235
q10=107
【∑[k=1,10.q≠q+2]qk】=444
2*107^2=22898
1/10=0.1
1-0.1=0.9
22898^0.9=8392
T(8392)=181<444
ln8392^2=81.6318420935
8392/444=18.9009009009
18.9009009009/81.6318420935=0.2315383362
1/0.2315383362=4.3189392150
【∑[k=1,6.q≠q+2]qk】=106
2*41^2=3362
1/6=0.1666666667
1-0.1666666667=0.8333333333
3362^0.8333333333=869
T(869)=34<106
ln869^2=45.7969329755
869/106=8.1981132075
8.1981132075/45.7969329755=0.1790100925
1/0.1790100925=5.5862772095
q7=59
【∑[k=1,7.q≠q+2]qk】=165
2*59^2=6962
1/7=0.1428571429
1-0.1428571429=0.8571428571
6962^0.8571428571=1967
T(1967)=60<165
ln1967^2=57.5210728356
1967/165=11.9212121212
11.9212121212/57.5210728356=0.2072494746
1/0.2072494746=4.8251027026
q8=71
【∑[k=1,8.q≠q+2]qk】=236
2*71^2=10082
1/8=0.1250000000
1-0.1250000000=0.8750000000
10082^0.8750000000=3185
T(3185)=84<236
ln3185^2=65.0637045301
3185/236=13.4957627119
13.4957627119/65.0637045301=0.2074238288
1/0.2074238288=4.8210468671
q9=101
【∑[k=1,9.q≠q+2]qk】=337
2*101^2=20402
1/9=0.1111111111
1-0.1111111111=0.8888888889
20402^0.8888888889=6774
T(6774)=156<337
ln6774^2=77.8073423866
6774/337=20.1008902077
20.1008902077/77.8073423866=0.2583418170
1/0.2583418170=3.8708406235
q10=107
【∑[k=1,10.q≠q+2]qk】=444
2*107^2=22898
1/10=0.1
1-0.1=0.9
22898^0.9=8392
T(8392)=181<444
ln8392^2=81.6318420935
8392/444=18.9009009009
18.9009009009/81.6318420935=0.2315383362
1/0.2315383362=4.3189392150
q11=137
【∑[k=1,11.q≠q+2]qk】=581
2*137^2=37538
1/11=0.0909090909
1-0.0909090909=0.9090909091
37538^0.9090909091=14409
T(14409)=266<581
ln14409^2=91.6922741293
14409/581=24.8003442341
24.8003442341/91.6922741293=0.2704736519
1/0.2704736519=3.6972177991
q12=149
【∑[k=1,12.q≠q+2]qk】=730
2*149^2=44402
1/12=0.0833333333
1-0.0833333333=0.9166666667
44402^0.9166666667=18202
T(18202)=320<730
ln18202^2=96.2221066830
18202/730=24.9342465753
24.9342465753/96.2221066830=0.2591322040
1/0.2591322040=3.8590340551
q13=179
【∑[k=1,13.q≠q+2]qk】=909
2*179^2=64082
1/13=0.0769230769
1-0.0769230769=0.9230769231
64082^0.9230769231=27352
T(27352)=435<909
ln27352^2=104.3777903333
27352/909=30.0902090209
30.0902090209/104.3777903333=0.2882817209
1/0.2882817209=3.4688290221
q14=191
【∑[k=1,14.q≠q+2]qk】=1100
2*191^2=72962
1/14=0.0714285714
1-0.0714285714=0.9285714286
72962^0.9285714286=32790
T(32790)=505<1100
ln32790^2=108.1158849910
32790/1100=29.8090909091
29.8090909091/108.1158849910=0.2757142571
1/0.2757142571=3.6269433816
q15=197
【∑[k=1,15.q≠q+2]qk】=1297
2*197^2=77618
1/15=0.0666666667
1-0.0666666667=0.9333333333
77618^0.9333333333=36641
T(36641)=555<1297
ln36641^2=110.4374649529
36641/1297=28.2505782575
28.2505782575/110.4374649529=0.2558061095
1/0.2558061095=3.9092107767
【∑[k=1,11.q≠q+2]qk】=581
2*137^2=37538
1/11=0.0909090909
1-0.0909090909=0.9090909091
37538^0.9090909091=14409
T(14409)=266<581
ln14409^2=91.6922741293
14409/581=24.8003442341
24.8003442341/91.6922741293=0.2704736519
1/0.2704736519=3.6972177991
q12=149
【∑[k=1,12.q≠q+2]qk】=730
2*149^2=44402
1/12=0.0833333333
1-0.0833333333=0.9166666667
44402^0.9166666667=18202
T(18202)=320<730
ln18202^2=96.2221066830
18202/730=24.9342465753
24.9342465753/96.2221066830=0.2591322040
1/0.2591322040=3.8590340551
q13=179
【∑[k=1,13.q≠q+2]qk】=909
2*179^2=64082
1/13=0.0769230769
1-0.0769230769=0.9230769231
64082^0.9230769231=27352
T(27352)=435<909
ln27352^2=104.3777903333
27352/909=30.0902090209
30.0902090209/104.3777903333=0.2882817209
1/0.2882817209=3.4688290221
q14=191
【∑[k=1,14.q≠q+2]qk】=1100
2*191^2=72962
1/14=0.0714285714
1-0.0714285714=0.9285714286
72962^0.9285714286=32790
T(32790)=505<1100
ln32790^2=108.1158849910
32790/1100=29.8090909091
29.8090909091/108.1158849910=0.2757142571
1/0.2757142571=3.6269433816
q15=197
【∑[k=1,15.q≠q+2]qk】=1297
2*197^2=77618
1/15=0.0666666667
1-0.0666666667=0.9333333333
77618^0.9333333333=36641
T(36641)=555<1297
ln36641^2=110.4374649529
36641/1297=28.2505782575
28.2505782575/110.4374649529=0.2558061095
1/0.2558061095=3.9092107767
q16=227
【∑[k=1,16.q≠q+2]qk】=1524
2*227^2=103058
1/16=0.0625000000
1-0.0625=0.9375
103058^0.9375=50092
T(50092)=707<1524
ln50092^2=117.1073857010
50092/1524=32.8687664042
32.8687664042/117.1073857010=0.2806720192
1/0.2806720192=3.5628774213
q17=239
【∑[k=1,17.q≠q+2]qk】=1763
2*239^2=114242
1/17=0.0588235294
1-0.0588235294=0.9411764706
114242^0.9411764706=57585
T(57585)=787<1763
ln57585^2=120.1439023576
57585/1763=32.6630743052
32.6630743052/120.1439023576=0.2718662676
1/0.2718662676=3.6782790628
q18=269
【∑[k=1,18.q≠q+2]qk】=2032
2*269^2=144722
1/18=0.0555555556
1-0.0555555556=0.9444444444
144722^0.9444444444=74790
T(74790)=958<2032
ln74790^2=125.9431475501
74790/2032=36.8061023622
36.8061023622/125.9431475501=0.2922437868
1/0.2922437868=3.4218007197
q19=281
【∑[k=1,19.q≠q+2]qk】=2313
2*281^2=157922
1/19=0.0526315789
1-0.0526315789=0.9473684211
157922^0.9473684211=84109
T(84109)=1054<2313
ln84109^2=128.5926256645
84109/2313=36.3635970601
36.3635970601/128.5926256645=0.2827813560
1/0.2827813560=3.5363010283
q20=311
【∑[k=1,20.q≠q+2]qk】=2624
2*311^2=193442
1/20=0.05
1-0.05=0.95
193442^0.95=105251
T(105251)=1275<2624
ln105251^2=133.7284840391
105251/2624=40.1108993902
40.1108993902/133.7284840391=0.2999428258
1/0.2999428258=3.3339687233
【∑[k=1,16.q≠q+2]qk】=1524
2*227^2=103058
1/16=0.0625000000
1-0.0625=0.9375
103058^0.9375=50092
T(50092)=707<1524
ln50092^2=117.1073857010
50092/1524=32.8687664042
32.8687664042/117.1073857010=0.2806720192
1/0.2806720192=3.5628774213
q17=239
【∑[k=1,17.q≠q+2]qk】=1763
2*239^2=114242
1/17=0.0588235294
1-0.0588235294=0.9411764706
114242^0.9411764706=57585
T(57585)=787<1763
ln57585^2=120.1439023576
57585/1763=32.6630743052
32.6630743052/120.1439023576=0.2718662676
1/0.2718662676=3.6782790628
q18=269
【∑[k=1,18.q≠q+2]qk】=2032
2*269^2=144722
1/18=0.0555555556
1-0.0555555556=0.9444444444
144722^0.9444444444=74790
T(74790)=958<2032
ln74790^2=125.9431475501
74790/2032=36.8061023622
36.8061023622/125.9431475501=0.2922437868
1/0.2922437868=3.4218007197
q19=281
【∑[k=1,19.q≠q+2]qk】=2313
2*281^2=157922
1/19=0.0526315789
1-0.0526315789=0.9473684211
157922^0.9473684211=84109
T(84109)=1054<2313
ln84109^2=128.5926256645
84109/2313=36.3635970601
36.3635970601/128.5926256645=0.2827813560
1/0.2827813560=3.5363010283
q20=311
【∑[k=1,20.q≠q+2]qk】=2624
2*311^2=193442
1/20=0.05
1-0.05=0.95
193442^0.95=105251
T(105251)=1275<2624
ln105251^2=133.7284840391
105251/2624=40.1108993902
40.1108993902/133.7284840391=0.2999428258
1/0.2999428258=3.3339687233
q21=347
【∑[k=1,21.q≠q+2]qk】=2971
2*347^2=240818
1/21=0.0476190476
1-0.0476190476=0.9523809524
240818^0.9523809524=133481
T(133481)=1548<2971
ln133481^2=139.2804633598
133481/2971=44.9279703803
44.9279703803/139.2804633598=0.3225719480
1/0.3225719480=3.1000835820
q22=419
【∑[k=1,22.q≠q+2]qk】=3390
2*419^2=351122
1/22=0.0454545455
1-0.0454545455=0.9545454545
351122^0.9545454545=196514
T(196514)=2126<3390
ln196514^2=148.5592629964
196514/3390=57.9687315634
57.9687315634/148.5592629964=0.3902061063
1/0.3902061063=2.5627482088
q23=431
【∑[k=1,23.q≠q+2]qk】=3821
2*431^2=371522
1/23=0.0434782609
1-0.0434782609=0.9565217391
371522^0.9565217391=212722
T(212722)=2274<3821
ln212722^2=150.4974797418
212722/3821=55.6718136613
55.6718136613/150.4974797418=0.3699185778
1/0.3699185778=2.7032975904
q24=461
【∑[k=1,24.q≠q+2]qk】=4282
2*461^2=425042
1/24=0.0416666667
1-0.0416666667=0.9583333333
425042^0.9583333333=247694
T(247694)=2570<4282
ln247694^2=154.2551429073
247694/4282=57.8453993461
57.8453993461/154.2551429073=0.3749981897
1/0.3749981897=2.6666795400
q25=521
【∑[k=1,25.q≠q+2]qk】=4803
2*521^2=542882
1/25=0.04
1-0.04=0.96
542882^0.96=320124
T(320124)=3173<4803
ln320124^2=160.6927319298
320124/4803=66.6508432230
66.6508432230/160.6927319298=0.4147719839
1/0.4147719839=2.4109632251
【∑[k=1,21.q≠q+2]qk】=2971
2*347^2=240818
1/21=0.0476190476
1-0.0476190476=0.9523809524
240818^0.9523809524=133481
T(133481)=1548<2971
ln133481^2=139.2804633598
133481/2971=44.9279703803
44.9279703803/139.2804633598=0.3225719480
1/0.3225719480=3.1000835820
q22=419
【∑[k=1,22.q≠q+2]qk】=3390
2*419^2=351122
1/22=0.0454545455
1-0.0454545455=0.9545454545
351122^0.9545454545=196514
T(196514)=2126<3390
ln196514^2=148.5592629964
196514/3390=57.9687315634
57.9687315634/148.5592629964=0.3902061063
1/0.3902061063=2.5627482088
q23=431
【∑[k=1,23.q≠q+2]qk】=3821
2*431^2=371522
1/23=0.0434782609
1-0.0434782609=0.9565217391
371522^0.9565217391=212722
T(212722)=2274<3821
ln212722^2=150.4974797418
212722/3821=55.6718136613
55.6718136613/150.4974797418=0.3699185778
1/0.3699185778=2.7032975904
q24=461
【∑[k=1,24.q≠q+2]qk】=4282
2*461^2=425042
1/24=0.0416666667
1-0.0416666667=0.9583333333
425042^0.9583333333=247694
T(247694)=2570<4282
ln247694^2=154.2551429073
247694/4282=57.8453993461
57.8453993461/154.2551429073=0.3749981897
1/0.3749981897=2.6666795400
q25=521
【∑[k=1,25.q≠q+2]qk】=4803
2*521^2=542882
1/25=0.04
1-0.04=0.96
542882^0.96=320124
T(320124)=3173<4803
ln320124^2=160.6927319298
320124/4803=66.6508432230
66.6508432230/160.6927319298=0.4147719839
1/0.4147719839=2.4109632251
q26=569
【∑[k=1,26.q≠q+2]qk】=5372
2*569^2=647522
1/26=0.0384615385
1-0.0384615385=0.9615384615
647522^0.9615384615=387031
T(387031)=3701<5372
ln387031^2=165.5406482455
387031/5372=72.0459791512
72.0459791512/165.5406482455=0.4352162440
1/0.4352162440=2.2977083548
q27=599
【∑[k=1,27.q≠q+2]qk】=5971
2*599^2=717602
1/27=0.0370370370
1-0.0370370370=0.9629629630
717602^0.9629629630=435511
T(435511)=4097<5971
ln435511^2=168.5914059309
435511/5971=72.9376988779
72.9376988779/168.5914059309=0.4326299937
1/0.4326299937=2.3114439927
q28=617
【∑[k=1,28.q≠q+2]qk】=6588
2*617^2=761378
1/28=0.0357142857
1-0.0357142857=0.9642857143
761378^0.9642857143=469401
T(469401)=4334<6588
ln469401^2=170.5430361558
469401/6588=71.2509107468
71.2509107468/170.5430361558=0.4177884501
1/0.4177884501=2.3935558768
q29=641
【∑[k=1,29.q≠q+2]qk】=7229
2*641^2=821762
1/29=0.0344827586
1-0.0344827586=0.9655172414
821762^0.9655172414=513795
T(513795)=4662<7229
ln513795^2=172.9114445036
513795/7229=71.0741458016
71.0741458016/172.9114445036=0.4110436183
1/0.4110436183=2.4328318346
q30=659
【∑[k=1,30.q≠q+2]qk】=7888
2*659^2=868562
1/30=0.0333333333
1-0.0333333333=0.9666666667
868562^0.9666666667=550606
T(550606)=4953<7888
ln550606^2=174.7360063883
550606/7888=69.8029918864
69.8029918864/174.7360063883=0.3994768642
1/0.3994768642=2.5032738805
【∑[k=1,26.q≠q+2]qk】=5372
2*569^2=647522
1/26=0.0384615385
1-0.0384615385=0.9615384615
647522^0.9615384615=387031
T(387031)=3701<5372
ln387031^2=165.5406482455
387031/5372=72.0459791512
72.0459791512/165.5406482455=0.4352162440
1/0.4352162440=2.2977083548
q27=599
【∑[k=1,27.q≠q+2]qk】=5971
2*599^2=717602
1/27=0.0370370370
1-0.0370370370=0.9629629630
717602^0.9629629630=435511
T(435511)=4097<5971
ln435511^2=168.5914059309
435511/5971=72.9376988779
72.9376988779/168.5914059309=0.4326299937
1/0.4326299937=2.3114439927
q28=617
【∑[k=1,28.q≠q+2]qk】=6588
2*617^2=761378
1/28=0.0357142857
1-0.0357142857=0.9642857143
761378^0.9642857143=469401
T(469401)=4334<6588
ln469401^2=170.5430361558
469401/6588=71.2509107468
71.2509107468/170.5430361558=0.4177884501
1/0.4177884501=2.3935558768
q29=641
【∑[k=1,29.q≠q+2]qk】=7229
2*641^2=821762
1/29=0.0344827586
1-0.0344827586=0.9655172414
821762^0.9655172414=513795
T(513795)=4662<7229
ln513795^2=172.9114445036
513795/7229=71.0741458016
71.0741458016/172.9114445036=0.4110436183
1/0.4110436183=2.4328318346
q30=659
【∑[k=1,30.q≠q+2]qk】=7888
2*659^2=868562
1/30=0.0333333333
1-0.0333333333=0.9666666667
868562^0.9666666667=550606
T(550606)=4953<7888
ln550606^2=174.7360063883
550606/7888=69.8029918864
69.8029918864/174.7360063883=0.3994768642
1/0.3994768642=2.5032738805
q31=809
【∑[k=1,31.q≠q+2]qk】=8697
2*809^2=1308962
1/31=0.0322580645
1-0.0322580645=0.9677419355
1308962^0.9677419355=831012
T(831012)=6983<8697
ln831012^2=185.7877909167
831012/8697=95.5515695067
95.5515695067/185.7877909167=0.5143048907
1/0.5143048907=1.9443719437
q32=821
【∑[k=1,32.q≠q+2]qk】=9518
2*821^2=1348082
1/32=0.0312500000
1-0.03125=0.96875
1348082^0.96875=867287
T(867287)=7235<9518
ln867287^2=186.9543534869
867287/9518=91.1207186384
91.1207186384/186.9543534869=0.4873955430
1/0.4873955430=2.0517216753
q33=827
【∑[k=1,33.q≠q+2]qk】=10345
2*827^2=1367858
1/33=0.0303030303
1-0.0303030303=0.9696969697
1367858^0.9696969697=891457
T(891457)=7417<10345
ln891457^2=187.7067823765
891457/10345=86.1727404543
86.1727404543/187.7067823765=0.4590816558
1/0.4590816558=2.1782617261
q34=857
【∑[k=1,34.q≠q+2]qk】=11202
2*857^2=1468898
1/34=0.0294117647
1-0.0294117647=0.9705882353
1468898^0.9705882353=967408
T(967408)=7949<11202
ln967408^2=189.9538774248
967408/11202=86.3602928049
86.3602928049/189.9538774248=0.4546382205
1/0.4546382205=2.1995511044
q35=881
【∑[k=1,35.q≠q+2]qk】=12083
2*881^2=1552322
1/35=0.0285714286
1-0.0285714286=0.9714285714
1552322^0.9714285714=1032992
T(1032992)<12083
ln1032992^2=191.7662732206
1032992/12083=85.4913514856
85.4913514856/191.7662732206=0.4458101524
1/0.4458101524=2.2431072837
【∑[k=1,31.q≠q+2]qk】=8697
2*809^2=1308962
1/31=0.0322580645
1-0.0322580645=0.9677419355
1308962^0.9677419355=831012
T(831012)=6983<8697
ln831012^2=185.7877909167
831012/8697=95.5515695067
95.5515695067/185.7877909167=0.5143048907
1/0.5143048907=1.9443719437
q32=821
【∑[k=1,32.q≠q+2]qk】=9518
2*821^2=1348082
1/32=0.0312500000
1-0.03125=0.96875
1348082^0.96875=867287
T(867287)=7235<9518
ln867287^2=186.9543534869
867287/9518=91.1207186384
91.1207186384/186.9543534869=0.4873955430
1/0.4873955430=2.0517216753
q33=827
【∑[k=1,33.q≠q+2]qk】=10345
2*827^2=1367858
1/33=0.0303030303
1-0.0303030303=0.9696969697
1367858^0.9696969697=891457
T(891457)=7417<10345
ln891457^2=187.7067823765
891457/10345=86.1727404543
86.1727404543/187.7067823765=0.4590816558
1/0.4590816558=2.1782617261
q34=857
【∑[k=1,34.q≠q+2]qk】=11202
2*857^2=1468898
1/34=0.0294117647
1-0.0294117647=0.9705882353
1468898^0.9705882353=967408
T(967408)=7949<11202
ln967408^2=189.9538774248
967408/11202=86.3602928049
86.3602928049/189.9538774248=0.4546382205
1/0.4546382205=2.1995511044
q35=881
【∑[k=1,35.q≠q+2]qk】=12083
2*881^2=1552322
1/35=0.0285714286
1-0.0285714286=0.9714285714
1552322^0.9714285714=1032992
T(1032992)<12083
ln1032992^2=191.7662732206
1032992/12083=85.4913514856
85.4913514856/191.7662732206=0.4458101524
1/0.4458101524=2.2431072837
q36=1019
【∑[k=1,36.q≠q+2]qk】=13102
2*1019^2=2076722
1/36=0.0277777778
1-0.0277777778=0.9722222222
2076722^0.9722222222=1386423
T(1386423)<1386423
ln1386423^2=200.0028845328
1386423/13102=105.8176614257
105.8176614257/200.0028845328=0.5290806764
1/0.5290806764=1.8900709185
q37=1031
【∑[k=1,37.q≠q+2]qk】=14133
2*1031^2=2125922
1/37=0.0270270270
1-0.0270270270=0.9729729730
2125922^0.9729729730=1433946
T(1433946)<14133
ln1433946^2=200.9572930997
1433946/14133=101.4608363405
101.4608363405/200.9572930997=0.5048875548
1/0.5048875548=1.9806390363
q38=1049
【∑[k=1,38.q≠q+2]qk】=15182
2*1049^2=2200802
1/38=0.0263157895
1-0.0263157895=0.9736842105
2200802^0.9736842105=1498549
T(1498549)<15182
ln1498549^2=202.2086236693
1498549/15182=98.7056382558
98.7056382558/202.2086236693=0.4881376297
1/0.4881376297=2.0486025644
q39=1061
【∑[k=1,39.q≠q+2]qk】=16243
2*1061^2=2251442
1/39=0.0256410256
1-0.0256410256=0.9743589744
2251442^0.9743589744=1547310
T(1547310)<16243
ln1547310^2=203.1203162879
1547310/16243=95.2601120483
95.2601120483/203.1203162879=0.4689836733
1/0.4689836733=2.1322703901
q40=1091
【∑[k=1,40.q≠q+2]qk】=17334
2*1091^2=2380562
1/40=0.025
1-0.025=0.975
2380562^0.975=1649159
T(1649159)<17334
ln1649159^2=204.9414430262
1649159/17334=95.1401292258
95.1401292258/204.9414430262=0.4642307960
1/0.4642307960=2.1541009528
【∑[k=1,36.q≠q+2]qk】=13102
2*1019^2=2076722
1/36=0.0277777778
1-0.0277777778=0.9722222222
2076722^0.9722222222=1386423
T(1386423)<1386423
ln1386423^2=200.0028845328
1386423/13102=105.8176614257
105.8176614257/200.0028845328=0.5290806764
1/0.5290806764=1.8900709185
q37=1031
【∑[k=1,37.q≠q+2]qk】=14133
2*1031^2=2125922
1/37=0.0270270270
1-0.0270270270=0.9729729730
2125922^0.9729729730=1433946
T(1433946)<14133
ln1433946^2=200.9572930997
1433946/14133=101.4608363405
101.4608363405/200.9572930997=0.5048875548
1/0.5048875548=1.9806390363
q38=1049
【∑[k=1,38.q≠q+2]qk】=15182
2*1049^2=2200802
1/38=0.0263157895
1-0.0263157895=0.9736842105
2200802^0.9736842105=1498549
T(1498549)<15182
ln1498549^2=202.2086236693
1498549/15182=98.7056382558
98.7056382558/202.2086236693=0.4881376297
1/0.4881376297=2.0486025644
q39=1061
【∑[k=1,39.q≠q+2]qk】=16243
2*1061^2=2251442
1/39=0.0256410256
1-0.0256410256=0.9743589744
2251442^0.9743589744=1547310
T(1547310)<16243
ln1547310^2=203.1203162879
1547310/16243=95.2601120483
95.2601120483/203.1203162879=0.4689836733
1/0.4689836733=2.1322703901
q40=1091
【∑[k=1,40.q≠q+2]qk】=17334
2*1091^2=2380562
1/40=0.025
1-0.025=0.975
2380562^0.975=1649159
T(1649159)<17334
ln1649159^2=204.9414430262
1649159/17334=95.1401292258
95.1401292258/204.9414430262=0.4642307960
1/0.4642307960=2.1541009528