Λ2(sk)和它的延拓

小草

表Λ2(sk)=∑qk^sk.
T(2q^2)=Λ2(sk),q,q+2表一对孪生素数.这里q≠q+2.


原始区域
T(1)=0
T(2)=0
T(3)=0
T(4)=0

2*3^2区域
T(5)=3^0=1
T(6)=3^0=1
T(7)=3^0.63092975357145743709952711434278=2
T(8)=3^0.63092975357145743709952711434278=2
T(9)=3^0.63092975357145743709952711434278=2
T(10)=3^0.63092975357145743709952711434278=2
T(11)=3^0.63092975357145743709952711434278=2
T(12)=3^0.63092975357145743709952711434278=2
T(13)=3^1=3
T(14)=3^1=3
T(15)=3^1=3
T(16)=3^1=3
T(17)=3^1=3
T(18)=3^1=3

2*5^2区域
T(19)=3+5^0=4
T(20)=3+5^0=4
T(21)=3+5^0=4
T(22)=3+5^0=4
T(23)=3+5^0=4
T(24)=3+5^0=4
T(25)=3+5^0=4
T(26)=3+5^0=4
T(27)=3+5^0=4
T(28)=3+5^0=4
T(29)=3+5^0=4
T(30)=3+5^0=4
T(31)=3+5^0.43067655807339305067010656876396=5
T(32)=3+5^0.43067655807339305067010656876396=5
T(33)=3+5^0.43067655807339305067010656876396=5
T(34)=3+5^0.43067655807339305067010656876396=5
T(35)=3+5^0.43067655807339305067010656876396=5
T(36)=3+5^0.43067655807339305067010656876396=5
T(37)=3+5^0.43067655807339305067010656876396=5
T(38)=3+5^0.43067655807339305067010656876396=5
T(39)=3+5^0.43067655807339305067010656876396=5
T(40)=3+5^0.43067655807339305067010656876396=5
T(41)=3+5^0.43067655807339305067010656876396=5
T(42)=3+5^0.43067655807339305067010656876396=5
T(43)=3+5^0.68260619448598529513456635927103=6
T(44)=3+5^0.68260619448598529513456635927103=6
T(45)=3+5^0.68260619448598529513456635927103=6
T(46)=3+5^0.68260619448598529513456635927103=6
T(47)=3+5^0.68260619448598529513456635927103=6
T(48)=3+5^0.68260619448598529513456635927103=6
T(49)=3+5^0.68260619448598529513456635927103=6
T(50)=3+5^0.68260619448598529513456635927103=6

小草

2*11^2区域
T(51)=6
T(52)=6
T(53)=6
T(54)=6
T(55)=6
T(56)=6
T(57)=6
T(58)=6
T(59)=6
T(60)=6
T(61)=6+11^0=7
T(62)=6+11^0=7
T(63)=6+11^0=7
T(64)=6+11^0=7
T(65)=6+11^0=7
T(66)=6+11^0=7
T(67)=6+11^0=7
T(68)=6+11^0=7
T(69)=6+11^0=7
T(70)=6+11^0=7
T(71)=6+11^0=7
T(72)=6+11^0=7
T(73)=6+11^0.28906482631788785926621100770027=8
T(74)=6+11^0.28906482631788785926621100770027=8
T(75)=6+11^0.28906482631788785926621100770027=8
T(76)=6+11^0.28906482631788785926621100770027=8
T(77)=6+11^0.28906482631788785926621100770027=8
T(78)=6+11^0.28906482631788785926621100770027=8
T(79)=6+11^0.28906482631788785926621100770027=8
T(80)=6+11^0.28906482631788785926621100770027=8
T(81)=6+11^0.28906482631788785926621100770027=8
T(82)=6+11^0.28906482631788785926621100770027=8
T(83)=6+11^0.28906482631788785926621100770027=8
T(84)=6+11^0.28906482631788785926621100770027=8
T(85)=6+11^0.28906482631788785926621100770027=8
T(86)=6+11^0.28906482631788785926621100770027=8
T(87)=6+11^0.28906482631788785926621100770027=8
T(88)=6+11^0.28906482631788785926621100770027=8
T(89)=6+11^0.28906482631788785926621100770027=8
T(90)=6+11^0.28906482631788785926621100770027=8
T(91)=6+11^0.28906482631788785926621100770027=8
T(92)=6+11^0.28906482631788785926621100770027=8
T(93)=6+11^0.28906482631788785926621100770027=8
T(94)=6+11^0.28906482631788785926621100770027=8
T(95)=6+11^0.28906482631788785926621100770027=8
T(96)=6+11^0.28906482631788785926621100770027=8
T(97)=6+11^0.28906482631788785926621100770027=8
T(98)=6+11^0.28906482631788785926621100770027=8
T(99)=6+11^0.28906482631788785926621100770027=8
T(100)=6+11^0.28906482631788785926621100770027=8
T(101)=6+11^0.28906482631788785926621100770027=8
T(102)=6+11^0.28906482631788785926621100770027=8
T(103)=6+11^0.45815690999132622248221823389275=9
T(104)=6+11^0.45815690999132622248221823389275=9
T(105)=6+11^0.45815690999132622248221823389275=9
T(106)=6+11^0.45815690999132622248221823389275=9
T(107)=6+11^0.45815690999132622248221823389275=9
T(108)=6+11^0.45815690999132622248221823389275=9
T(109)=6+11^0.57812965263577571853242201540055=10
T(110)=6+11^0.57812965263577571853242201540055=10
T(111)=6+11^0.57812965263577571853242201540055=10
T(112)=6+11^0.57812965263577571853242201540055=10
T(113)=6+11^0.57812965263577571853242201540055=10
T(114)=6+11^0.57812965263577571853242201540055=10
T(115)=6+11^0.57812965263577571853242201540055=10
T(116)=6+11^0.57812965263577571853242201540055=10
T(117)=6+11^0.57812965263577571853242201540055=10
T(118)=6+11^0.57812965263577571853242201540055=10
T(119)=6+11^0.57812965263577571853242201540055=10
T(120)=6+11^0.57812965263577571853242201540055=10
T(121)=6+11^0.57812965263577571853242201540055=10
T(122)=6+11^0.57812965263577571853242201540055=10
T(123)=6+11^0.57812965263577571853242201540055=10
T(124)=6+11^0.57812965263577571853242201540055=10
T(125)=6+11^0.57812965263577571853242201540055=10
T(126)=6+11^0.57812965263577571853242201540055=10
T(127)=6+11^0.57812965263577571853242201540055=10
T(128)=6+11^0.57812965263577571853242201540055=10
T(129)=6+11^0.57812965263577571853242201540055=10
T(130)=6+11^0.57812965263577571853242201540055=10
T(131)=6+11^0.57812965263577571853242201540055=10
T(132)=6+11^0.57812965263577571853242201540055=10
T(133)=6+11^0.57812965263577571853242201540055=10
T(134)=6+11^0.57812965263577571853242201540055=10
T(135)=6+11^0.57812965263577571853242201540055=10
T(136)=6+11^0.57812965263577571853242201540055=10
T(137)=6+11^0.57812965263577571853242201540055=10
T(138)=6+11^0.57812965263577571853242201540055=10
T(139)=6+11^0.67118774147123963813990063731901=11
T(140)=6+11^0.67118774147123963813990063731901=11
T(141)=6+11^0.67118774147123963813990063731901=11
T(142)=6+11^0.67118774147123963813990063731901=11
T(143)=6+11^0.67118774147123963813990063731901=11
T(144)=6+11^0.67118774147123963813990063731901=11
T(145)=6+11^0.67118774147123963813990063731901=11
T(146)=6+11^0.67118774147123963813990063731901=11
T(147)=6+11^0.67118774147123963813990063731901=11
T(148)=6+11^0.67118774147123963813990063731901=11
T(149)=6+11^0.67118774147123963813990063731901=11
T(150)=6+11^0.67118774147123963813990063731901=11
T(151)=6+11^0.74722173630921408174842924159302=12
T(152)=6+11^0.74722173630921408174842924159302=12
T(153)=6+11^0.74722173630921408174842924159302=12
T(154)=6+11^0.74722173630921408174842924159302=12
T(155)=6+11^0.74722173630921408174842924159302=12
T(156)=6+11^0.74722173630921408174842924159302=12
T(157)=6+11^0.74722173630921408174842924159302=12
T(158)=6+11^0.74722173630921408174842924159302=12
T(159)=6+11^0.74722173630921408174842924159302=12
T(160)=6+11^0.74722173630921408174842924159302=12
T(161)=6+11^0.74722173630921408174842924159302=12
T(162)=6+11^0.74722173630921408174842924159302=12
T(163)=6+11^0.74722173630921408174842924159302=12
T(164)=6+11^0.74722173630921408174842924159302=12
T(165)=6+11^0.74722173630921408174842924159302=12
T(166)=6+11^0.74722173630921408174842924159302=12
T(167)=6+11^0.74722173630921408174842924159302=12
T(168)=6+11^0.74722173630921408174842924159302=12
T(169)=6+11^0.74722173630921408174842924159302=12
T(170)=6+11^0.74722173630921408174842924159302=12
T(171)=6+11^0.74722173630921408174842924159302=12
T(172)=6+11^0.74722173630921408174842924159302=12
T(173)=6+11^0.74722173630921408174842924159302=12
T(174)=6+11^0.74722173630921408174842924159302=12
T(175)=6+11^0.74722173630921408174842924159302=12
T(176)=6+11^0.74722173630921408174842924159302=12
T(177)=6+11^0.74722173630921408174842924159302=12
T(178)=6+11^0.74722173630921408174842924159302=12
T(179)=6+11^0.74722173630921408174842924159302=12
T(180)=6+11^0.74722173630921408174842924159302=12
T(181)=6+11^0.81150756295724893966795059294056=13
T(182)=6+11^0.81150756295724893966795059294056=13
T(184)=6+11^0.81150756295724893966795059294056=13
T(185)=6+11^0.81150756295724893966795059294056=13
T(186)=6+11^0.81150756295724893966795059294056=13
T(187)=6+11^0.81150756295724893966795059294056=13
T(188)=6+11^0.81150756295724893966795059294056=13
T(189)=6+11^0.81150756295724893966795059294056=13
T(190)=6+11^0.81150756295724893966795059294056=13
T(191)=6+11^0.81150756295724893966795059294056=13
T(192)=6+11^0.81150756295724893966795059294056=13
T(193)=6+11^0.86719447895366357779863302310079=14
T(194)=6+11^0.86719447895366357779863302310079=14
T(195)=6+11^0.86719447895366357779863302310079=14
T(196)=6+11^0.86719447895366357779863302310079=14
T(197)=6+11^0.86719447895366357779863302310079=14
T(198)=6+11^0.86719447895366357779863302310079=14
T(199)=6+11^0.91631381998265244496443646778554=15
T(200)=6+11^0.91631381998265244496443646778554=15
T(201)=6+11^0.91631381998265244496443646778554=15
T(202)=6+11^0.91631381998265244496443646778554=15
T(203)=6+11^0.91631381998265244496443646778554=15
T(204)=6+11^0.91631381998265244496443646778554=15
T(205)=6+11^0.91631381998265244496443646778554=15
T(206)=6+11^0.91631381998265244496443646778554=15
T(207)=6+11^0.91631381998265244496443646778554=15
T(208)=6+11^0.91631381998265244496443646778554=15
T(209)=6+11^0.91631381998265244496443646778554=15
T(210)=6+11^0.91631381998265244496443646778554=15
T(211)=6+11^0.91631381998265244496443646778554=15
T(212)=6+11^0.91631381998265244496443646778554=15
T(213)=6+11^0.91631381998265244496443646778554=15
T(214)=6+11^0.91631381998265244496443646778554=15
T(215)=6+11^0.91631381998265244496443646778554=15
T(216)=6+11^0.91631381998265244496443646778554=15
T(217)=6+11^0.91631381998265244496443646778554=15
T(218)=6+11^0.91631381998265244496443646778554=15
T(219)=6+11^0.91631381998265244496443646778554=15
T(220)=6+11^0.91631381998265244496443646778554=15
T(221)=6+11^0.91631381998265244496443646778554=15
T(222)=6+11^0.91631381998265244496443646778554=15
T(223)=6+11^0.91631381998265244496443646778554=15
T(224)=6+11^0.91631381998265244496443646778554=15
T(225)=6+11^0.91631381998265244496443646778554=15
T(226)=6+11^0.91631381998265244496443646778554=15
T(227)=6+11^0.91631381998265244496443646778554=15
T(228)=6+11^0.91631381998265244496443646778554=15
T(229)=6+11^0.96025256778912749740611164501929=16
T(230)=6+11^0.96025256778912749740611164501929=16
T(231)=6+11^0.96025256778912749740611164501929=16
T(232)=6+11^0.96025256778912749740611164501929=16
T(233)=6+11^0.96025256778912749740611164501929=16
T(234)=6+11^0.96025256778912749740611164501929=16
T(235)=6+11^0.96025256778912749740611164501929=16
T(236)=6+11^0.96025256778912749740611164501929=16
T(237)=6+11^0.96025256778912749740611164501929=16
T(238)=6+11^0.96025256778912749740611164501929=16
T(239)=6+11^0.96025256778912749740611164501929=16
T(240)=6+11^0.96025256778912749740611164501929=16
T(241)=6+11^1=17
T(242)=6+11^1=17

小草

在T(2q^2)=Λ2(sk)中sk是震荡的，震荡地趋向于一，只是因为孪生素数的不匀等造成的.设qk-q(k-1)=d,当d很小时，T(2(qk)^2)-T(2(q(k-1))^2)的值就小，s就小；当d很大时，T(2(qk)^2)-T(2(q(k-1))^2)的值就大，s就大，这就是造成s震荡的根本原因.
我们还可以通过延拓的方法，延拓到所有整数.这时候qk^sk都是不断增加的.

小草

T(13)=3
13=(2*3^2)-5
T(73)=3+5=8
73=(2*5^2)+23
T(283)=3+8+11=19
283=(2*11^2)+41
T(1021)=3+8+11+17=36
1021=(2*17^2)+443
T(2113)=3+8+11+17+29=65
2113=(2*29^2)+431
T(4051)=3+8+11+17+29+41=106
4051=(2*41^2)+689
T(7309)=3+8+11+17+29+41+59=165
7309=(2*59^2)+347
T(12043)=3+8+11+17+29+41+59+71=236
12043=(2*71^2)+1961
T(19699)=3+8+11+17+29+41+59+71+101=337
19699=(2*101^2)-703
T(27793)=3+8+11+17+29+41+59+71+101+107=444
27793=(2*107^2)+4895