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楼主: ysr

基础理论中的两个重要定理的证明

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 楼主| 发表于 2026-4-9 09:23 | 显示全部楼层
/21952823/6491646053/12961339283/19431032513/25900725743/32370418973/38840112203/45309805433/51779498663
/21990659/6491683889/12961377119/19431070349/25900763579/32370456809/38840150039/45309843269
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 楼主| 发表于 2026-4-9 10:05 | 显示全部楼层
本帖最后由 ysr 于 2026-4-9 02:10 编辑

21999143与22999143之间的素数开头最多有公差为6469693230的9个连续素数:
/22749449/6492442679/12962135909/19431829139/25901522369/32371215599/38840908829/45310602059/51780295289
/22980511/6492673741/12962366971/19432060201/25901753431/32371446661/38841139891/45310833121
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 楼主| 发表于 2026-4-9 13:17 | 显示全部楼层
23999143与25999143之间的素数开头最多有公差为6469693230的10个连续素数:
/24143279/6493836509/12963529739/19433222969/25902916199/32372609429/38842302659/45311995889/51781689119/58251382349
/24159313/6493852543/12963545773/19433239003/25902932233/32372625463/38842318693/45312011923/51781705153
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 楼主| 发表于 2026-4-9 21:15 | 显示全部楼层
30999143与32999143之间的素数开头最多有公差为6469693230的11个连续素数:
/31284889/6500978119/12970671349/19440364579/25910057809/32379751039/38849444269/45319137499/51788830729/58258523959/64728217189
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 楼主| 发表于 2026-4-10 04:31 | 显示全部楼层
32999143与35999143之间的素数开头最多有公差为6469693230的10个连续素数:
/33392383/6503085613/12972778843/19442472073/25912165303/32381858533/38851551763/45321244993/51790938223/58260631453
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 楼主| 发表于 2026-4-11 07:38 | 显示全部楼层
35999143与37999143之间的素数开头最多有公差为6469693230的10个连续素数:
/36153913/6505847143/12975540373/19445233603/25914926833/32384620063/38854313293/45324006523/51793699753
/36862781/6506556011/12976249241/19445942471/25915635701/32385328931/38855022161/45324715391/51794408621/58264101851
/36863539/6506556769/12976249999/19445943229
/36865523/6506558753/12976251983/19445945213
/36866513/6506559743/12976252973/19445946203
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 楼主| 发表于 2026-4-11 14:10 | 显示全部楼层
37999143与40999143之间的素数开头最多有公差为6469693230的10个连续素数:
/38264027/6507957257/12977650487/19447343717/25917036947/32386730177/38856423407/45326116637/51795809867/58265503097
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 楼主| 发表于 2026-4-11 19:30 | 显示全部楼层
本帖最后由 ysr 于 2026-4-11 13:06 编辑

40999143与42999143之间的素数开头最多有公差为6469693230的9个连续素数:
/41420153/6511113383/12980806613/19450499843/25920193073/32389886303/38859579533/45329272763

/42227113/6511920343/12981613573/19451306803
/42228721/6511921951/12981615181/19451308411/25921001641
/42229463/6511922693/12981615923/19

42229463与42999143之间的素数开头最多有公差为6469693230的9个连续素数:
/42229463/6511922693/12981615923/19451309153

/42763163/6512456393/12982149623/19451842853
/42764363/6512457593/12982150823/19451844053
/42764551/6512457781/12982151011/19451844241/25921537471
/42765913/6512459143/12982152373/19451845603
/42767429/6512460659/12982153889/19451847119
/42906763/6512599993/12982293223/19451986453/25921679683/32391372913/38861066143/45330759373/51800452603
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 楼主| 发表于 2026-4-11 21:12 | 显示全部楼层
Private Sub Command1_Click()
Dim a, b
a = Val(Text1)
a1 = a
Q = Val(Text2)
r = Val(Text4)
m = Sqr(Q)
If Right(a, 1) Mod 2 = 0 Then
a = a + 1
Else
a = a
End If

Do While InStr(fenjieyinzi(Val(a)), "*") <> 0
a = a + 2
Loop

Do While a <= Q
b = a
d = fenjieyinzi(Val(b))
s = 0
s3 = ""
Do While s >= 0 And InStr(d, "*") = 0
s4 = s + 1
If s4 Mod 20 = 0 Then
s3 = s3 & "/" & b & vbCrLf
Else
s3 = s3 & "/" & b
End If
s = s + 1
s2 = s * (s + 1)
b = b + r
d = fenjieyinzi(Val(b))
Loop
If s > 8 Then
Text3 = Text3 & s3 & vbCrLf
End If
If s > 1 Then
s5 = s5 & "/" & s
Else
s5 = s5
End If
Print s5
a = a + 2
s2 = 0
Loop
s6 = Mid(s5, 2)
     s7 = max(Trim(s6))
Combo1 = a1 & "与" & Q & "之间的素数开头最多有公差为" & r & "的" & s7 & "个连续素数:" & vbCrLf & Text3

     

End Sub

Private Sub Command2_Click()
Text1 = ""
Text2 = ""
Text3 = ""
Text4 = ""
Combo1 = ""
Form1.Cls
End Sub
Private Function max(ByVal lists As String) As String
Dim temp As Long
Dim a() As String
a = Split(lists, "/")
Dim b As Long

For b = 0 To UBound(a)
If temp < a(b) Then temp = a(b)
Next
max = temp
End Function

Private Function fenjieyinzi(sa As String) As String
Dim x, a, b, k As String
a = Val(sa)

x = 3
If a <= 1 Or a > Int(a) Then
If a = 1 Then
fenjieyinzi = "它既不是质数,也不是合数"

Else
MsgBox "error"
End If
  
Else

Do While a / 2 = Int(a / 2) And a >= 4
  
If b = 0 Then
fenjieyinzi = fenjieyinzi & "2"
b = 1
Else
fenjieyinzi = fenjieyinzi & "*2"
End If
a = a / 2
k = a
  
Loop

Do While a > 1
Do While x <= Sqr(a)
Do While a / x = Int(a / x) And a >= x * x
  
If b = 0 Then
fenjieyinzi = fenjieyinzi & x
b = 1
Else
fenjieyinzi = fenjieyinzi & "*" & x
End If
a = a / x
Loop
  
x = x + 2
Loop
  
k = a
a = 1
Loop
  
If b = 1 Then
fenjieyinzi = fenjieyinzi & "*" & k
Else
fenjieyinzi = "这是一个质数"
End If
  
  
  
  

End If

End Function


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 楼主| 发表于 2026-4-13 07:24 | 显示全部楼层
42999143与46999143之间的素数开头最多有公差为6469693230的11个连续素数:
/46723951/6516417181/12986110411/19455803641/25925496871/32395190101/38864883331/45334576561/51804269791/58273963021/64743656251
/46968989/6516662219/12986355449/19456048679/25925741909/32395435139/38865128369/45334821599/51804514829
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