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求数列的通项公式

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 楼主| 发表于 2026-4-8 06:52 | 显示全部楼层
4021058059与4025058059之间的素数开头最多有公差为6469693230的9个连续素数:
/4021129873/10490823103/16960516333/23430209563/29899902793/36369596023/42839289253/49308982483/55778675713
/4021835183/10491528413/16961221643/23430914873/29900608103/36370301333/42839994563/49309687793/55779381023
/4022204479/10491897709/16961590939/23431284169/29900977399/36370670629/42840363859/49310057089/55779750319
/4024084627/10493777857/16963471087/23433164317/29902857547/36372550777/42842244007/49311937237/55781630467
/4024168217/10493861447/16963554677/23433247907/29902941137/36372634367/42842327597/49312020827/55781714057
/4024292351/10493985581/16963678811/23433372041/29903065271/36372758501/42842451731/49312144961/55781838191
/4024310671/10494003901/16963697131/23433390361/29903083591/36372776821
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 楼主| 发表于 2026-4-8 07:00 | 显示全部楼层
4025061759与4025066759之间的素数开头最多有公差为6469693230的6个连续素数:
/4025062441/10494755671/16964448901/23434142131/29903835361/36373528591
/4025065123/10494758353/16964451583/23434144813
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 楼主| 发表于 2026-4-8 07:01 | 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 > 3 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 2026-4-8 07:02 | 显示全部楼层
4025066759与4025072759之间的素数开头最多有公差为6469693230的5个连续素数:
/4025068757/10494761987/16964455217/23434148447/29903841677
/4025069869/10494763099/16964456329/23434149559
/4025072089/10494765319/16964458549/23434151779
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 楼主| 发表于 2026-4-8 07:03 | 显示全部楼层
4025072759与4025078759之间的素数开头最多有公差为6469693230的5个连续素数:
/4025075051/10494768281/16964461511/23434154741
/4025075449/10494768679/16964461909/23434155139
/4025075797/10494769027/16964462257/23434155487
/4025075807/10494769037/16964462267/23434155497
/4025076283/10494769513/16964462743/23434155973
/4025076599/10494769829/16964463059/23434156289/29903849519
/4025078089/10494771319/16964464549/23434157779
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 楼主| 发表于 2026-4-8 07:06 | 显示全部楼层
4025078759与4025098759之间的素数开头最多有公差为6469693230的7个连续素数:
/4025078977/10494772207/16964465437/23434158667
/4025079193/10494772423/16964465653/23434158883/29903852113
/4025079827/10494773057/16964466287/23434159517/29903852747
/4025081887/10494775117/16964468347/23434161577/29903854807/36373548037/42843241267
/4025082337/10494775567/16964468797/23434162027
/4025082623/10494775853/16964469083/23434162313
/4025083277/10494776507/16964469737/23434162967/29903856197
/4025083849/10494777079/16964470309/23434163539
/4025084471/10494777701/16964470931/23434164161
/4025085007/10494778237/16964471467/23434164697
/4025086301/10494779531/16964472761/23434165991/29903859221
/4025086309/10494779539/16964472769/23434165999
/4025088289/10494781519/16964474749/23434167979/29903861209
/4025088811/10494782041/16964475271/23434168501
/4025089709/10494782939/16964476169/23434169399
/4025090071/10494783301/16964476531/23434169761/29903862991
/4025091151/10494784381/16964477611/23434170841
/4025091769/10494784999/16964478229/23434171459
/4025093411/10494786641/16964479871/23434173101
/4025094587/10494787817/16964481047/23434174277
/4025096729/10494789959/16964483189/23434176419
/4025096939/10494790169/16964483399/23434176629/29903869859
/4025097613/10494790843/16964484073/23434177303/29903870533/36373563763
/4025097863/10494791093/16964484323/23434177553
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 楼主| 发表于 2026-4-8 07:09 | 显示全部楼层
4025098759与4025118759之间的素数开头最多有公差为6469693230的6个连续素数:
/4025098937/10494792167/16964485397/23434178627/29903871857
/4025099977/10494793207/16964486437/23434179667
/4025100091/10494793321/16964486551/23434179781
/4025100769/10494793999/16964487229/23434180459
/4025101853/10494795083/16964488313/23434181543
/4025104469/10494797699/16964490929/23434184159
/4025105653/10494798883/16964492113/23434185343
/4025106353/10494799583/16964492813/23434186043/29903879273/36373572503
/4025109391/10494802621/16964495851/23434189081
/4025110657/10494803887/16964497117/23434190347
/4025112523/10494805753/16964498983/23434192213
/4025114677/10494807907/16964501137/23434194367
/4025114887/10494808117/16964501347/23434194577
/4025116951/10494810181/16964503411/23434196641
/4025117867/10494811097/16964504327/23434197557
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 楼主| 发表于 2026-4-8 07:09 | 显示全部楼层
4025098759与4025118759之间的素数开头最多有公差为6469693230的6个连续素数:
/4025098937/10494792167/16964485397/23434178627/29903871857
/4025099977/10494793207/16964486437/23434179667
/4025100091/10494793321/16964486551/23434179781
/4025100769/10494793999/16964487229/23434180459
/4025101853/10494795083/16964488313/23434181543
/4025104469/10494797699/16964490929/23434184159
/4025105653/10494798883/16964492113/23434185343
/4025106353/10494799583/16964492813/23434186043/29903879273/36373572503
/4025109391/10494802621/16964495851/23434189081
/4025110657/10494803887/16964497117/23434190347
/4025112523/10494805753/16964498983/23434192213
/4025114677/10494807907/16964501137/23434194367
/4025114887/10494808117/16964501347/23434194577
/4025116951/10494810181/16964503411/23434196641
/4025117867/10494811097/16964504327/23434197557
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 楼主| 发表于 2026-4-9 08:16 | 显示全部楼层
4025118759与4025918759之间的素数开头最多有公差为6469693230的9个连续素数:
/4025296937/10494990167/16964683397/23434376627/29904069857/36373763087/42843456317/49313149547/55782842777
/4025632747/10495325977/16965019207/23434712437/29904405667/36374098897/42843792127/49313485357
/4025702281/10495395511/16965088741/23434781971/29904475201/36374168431/42843861661/49313554891
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 楼主| 发表于 2026-4-9 09:00 | 显示全部楼层
4025918759与4026918759之间的素数开头最多有公差为6469693230的8个连续素数:
/4025949091/10495642321/16965335551/23435028781/29904722011/36374415241/42844108471/49313801701
/4026143203/10495836433/16965529663/23435222893/29904916123/36374609353/42844302583/49313995813
/4026360973/10496054203/16965747433/23435440663/29905133893/36374827123/42844520353/49314213583
/4026371197/10496064427/16965757657/23435450887/29905144117/36374837347/42844530577/49314223807
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