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楼主: ysr

梅森素数的指数p的特征

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 楼主| 发表于 2025-5-22 22:18 | 显示全部楼层
代码如下:

Private Function fenjieyinzi(sa As String) As String
Dim x, a, b
x = sa
b = Int(Sqr(Val(x)) / 2)
If x = 3 Or x = 2 Then
a = True
Else
If x Mod 2 = 0 Then
a = False
Else

For I = 3 To 2 * b + 1 Step 2
If x Mod I = 0 Then
a = False
Exit For

Else: a = True

End If
Next
End If
End If
If a = True Then
fenjieyinzi = "这是个素数"
Else
fenjieyinzi = "2*2"
End If

End Function

Private Sub Command1_Click()
Dim x, p
x = Val(Text1)
X1 = Val(Text2)
X2 = x

Do While x <= X1
p = fenjieyinzi(Val(x))
If InStr(Trim(p), "*") = 0 Then
p1 = x - 1: p2 = x + 1
If p1 Mod 4 = 0 And p1 Mod 6 <> 0 And p2 Mod 30 <> 0 And p2 Mod 4 <> 0 Then
s = s + 1
t = t & x & " s=" & s & vbCrLf
Else
s = s
End If

Else
x = x
End If

x = x + 2
Loop

If s > 0 Then
Text3 = "在" & X2 & " 与 " & X1 & " 之间可能的梅森指数p有 " & s & " 个:" & vbCrLf & t
Else
Text3 = "wu  jie"
End If

End Sub

Private Sub Command2_Click()
Text1 = ""
Text2 = ""
Text3 = ""

End Sub
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 楼主| 发表于 2025-5-22 22:45 | 显示全部楼层
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 2025-5-22 22:58 | 显示全部楼层
在168291939 与 168299939 之间可能的梅森指数p有 83 个:
168291941 s=1 p1=2*2*5*67*125591 p2=2*3*7*13*17*18131
168291953 s=2 p1=2*2*2*2*10518247 p2=2*3*3*59*107*1481
168292001 s=3 p1=2*2*2*2*2*5*5*5*42073 p2=2*3*2297*12211
168292037 s=4 p1=2*2*11*907*4217 p2=2*3*28048673
168292097 s=5 p1=2*2*2*2*2*2*2*2*7*93913 p2=2*3*3*13*719197
168292277 s=6 p1=2*2*6397*6577 p2=2*3*3*7*11*29*53*79
168292301 s=7 p1=2*2*5*5*11*152993 p2=2*3*73*223*1723
168292433 s=8 p1=2*2*2*2*7*11*136601 p2=2*3*28048739
168292661 s=9 p1=2*2*5*461*18253 p2=2*3*59*475403
168292781 s=10 p1=2*2*5*59*127*1123 p2=2*3*3*3*7*41*10859
168292793 s=11 p1=2*2*2*17*17*83*877 p2=2*3*23*919*1327
168292913 s=12 p1=2*2*2*2*193*54499 p2=2*3*53*167*3169
168292997 s=13 p1=2*2*17*2474897 p2=2*3*3*3*3116537
168293201 s=14 p1=2*2*2*2*5*5*17*24749 p2=2*3*7*11*364271
168293381 s=15 p1=2*2*5*29*290161 p2=2*3*28048897
168293441 s=16 p1=2*2*2*2*2*2*5*7*7*10733 p2=2*3*28048907
168293453 s=17 p1=2*2*107*393209 p2=2*3*7*719*5573
168293597 s=18 p1=2*2*42073399 p2=2*3*11*2549903
168293717 s=19 p1=2*2*19*307*7213 p2=2*3*3*9349651
168293753 s=20 p1=2*2*2*11*1912429 p2=2*3*3*3*19*61*2689
168293777 s=21 p1=2*2*2*2*7*479*3137 p2=2*3*17*1171*1409
168293837 s=22 p1=2*2*97*433747 p2=2*3*89*113*2789
168294041 s=23 p1=2*2*2*5*31*135721 p2=2*3*3*7*1335667
168294281 s=24 p1=2*2*2*5*7*11*101*541 p2=2*3*13*71*30389
168294293 s=25 p1=2*2*53*793841 p2=2*3*3*3*7*431*1033
168294317 s=26 p1=2*2*4691*8969 p2=2*3*28049053
168294437 s=27 p1=2*2*42073609 p2=2*3*3*13*19*37853
168294677 s=28 p1=2*2*11*3824879 p2=2*3*701*40013
168294941 s=29 p1=2*2*5*11*764977 p2=2*3*3*3*3116573
168294953 s=30 p1=2*2*2*7*3005267 p2=2*3*28049159
168294977 s=31 p1=2*2*2*2*2*2*433*6073 p2=2*3*3*223*41927
168295013 s=32 p1=2*2*1753*24001 p2=2*3*3*9349723
168295073 s=33 p1=2*2*2*2*2*11*478111 p2=2*3*28049179
168295181 s=34 p1=2*2*5*1511*5569 p2=2*3*11*2549927
168295313 s=35 p1=2*2*2*2*19*19*29137 p2=2*3*11*37*68917
168295397 s=36 p1=2*2*281*149729 p2=2*3*571*49123
168295433 s=37 p1=2*2*2*21036929 p2=2*3*233*120383
168295481 s=38 p1=2*2*2*5*1303*3229 p2=2*3*3*3*3*3*3*115429
168295493 s=39 p1=2*2*101*416573 p2=2*3*59*199*2389
168295601 s=40 p1=2*2*2*2*5*5*11*23*1663 p2=2*3*241*116387
168295637 s=41 p1=2*2*43*978463 p2=2*3*7*4007039
168295661 s=42 p1=2*2*5*13*73*8867 p2=2*3*3*971*9629
168295781 s=43 p1=2*2*5*83*101383 p2=2*3*109*277*929
168295817 s=44 p1=2*2*2*13*29*41*1361 p2=2*3*17*1649959
168295973 s=45 p1=2*2*13*181*17881 p2=2*3*7*11*89*4093
168296081 s=46 p1=2*2*2*2*5*701*3001 p2=2*3*127*220861
168296201 s=47 p1=2*2*2*5*5*53*15877 p2=2*3*3*37*59*4283
168296321 s=48 p1=2*2*2*2*2*2*2*5*59*4457 p2=2*3*28049387
168296441 s=49 p1=2*2*2*5*13*323647 p2=2*3*28049407
168296477 s=50 p1=2*2*173*243203 p2=2*3*7*7*572437
168296501 s=51 p1=2*2*5*5*5*336593 p2=2*3*11*101*25247
168296741 s=52 p1=2*2*5*8414837 p2=2*3*3*2281*4099
168296873 s=53 p1=2*2*2*17*109*11353 p2=2*3*179*349*449
168297317 s=54 p1=2*2*11*3824939 p2=2*3*3*3*7*47*9473
168297377 s=55 p1=2*2*2*2*2*13*137*2953 p2=2*3*28049563
168297401 s=56 p1=2*2*2*5*5*307*2741 p2=2*3*7*13*19*16223
168297557 s=57 p1=2*2*7*7*29*29*1021 p2=2*3*11*13*73*2687
168297593 s=58 p1=2*2*2*19*727*1523 p2=2*3*5099*5501
168297641 s=59 p1=2*2*2*5*7*647*929 p2=2*3*3*3*3116623
168297653 s=60 p1=2*2*42074413 p2=2*3*7*7*17*151*223
168297797 s=61 p1=2*2*131*509*631 p2=2*3*28049633
168297821 s=62 p1=2*2*5*19*211*2099 p2=2*3*3*7*11*31*3917
168297881 s=63 p1=2*2*2*5*103*40849 p2=2*3*47*199*2999
168297917 s=64 p1=2*2*101*416579 p2=2*3*28049653
168298073 s=65 p1=2*2*2*21037259 p2=2*3*3*3*3*7*148411
168298157 s=66 p1=2*2*13*3236503 p2=2*3*7*4007099
168298217 s=67 p1=2*2*2*43*489239 p2=2*3*3*11*849991
168298433 s=68 p1=2*2*2*2*2*2*821*3203 p2=2*3*3*73*263*487
168298457 s=69 p1=2*2*2*673*31259 p2=2*3*2237*12539
168298541 s=70 p1=2*2*5*47*179041 p2=2*3*3*19*29*71*239
168298553 s=71 p1=2*2*2*173*277*439 p2=2*3*28049759
168299141 s=72 p1=2*2*5*8414957 p2=2*3*11*11*23*10079
168299177 s=73 p1=2*2*2*67*313991 p2=2*3*41*89*7687
168299213 s=74 p1=2*2*42074803 p2=2*3*3209*8741
168299333 s=75 p1=2*2*1901*22133 p2=2*3*3*7*43*31063
168299477 s=76 p1=2*2*1223*34403 p2=2*3*3*3*3116657
168299501 s=77 p1=2*2*5*5*5*336599 p2=2*3*7*4007131
168299513 s=78 p1=2*2*2*21037439 p2=2*3*3*9349973
168299561 s=79 p1=2*2*2*5*11*13*29423 p2=2*3*28049927
168299693 s=80 p1=2*2*11*3824993 p2=2*3*3*3*3*17*23*2657
168299741 s=81 p1=2*2*5*7*23*52267 p2=2*3*13*59*36571
168299921 s=82 p1=2*2*2*2*5*2103749 p2=2*3*7*4007141
168299933 s=83 p1=2*2*17*2474999 p2=2*3*11*29*87931
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 楼主| 发表于 2025-5-22 23:06 | 显示全部楼层
Private Function fenjieyinzi(sa As String) As String
Dim x, a, b
x = sa
b = Int(Sqr(Val(x)) / 2)
If x = 3 Or x = 2 Then
a = True
Else
If x Mod 2 = 0 Then
a = False
Else

For I = 3 To 2 * b + 1 Step 2
If x Mod I = 0 Then
a = False
Exit For

Else: a = True

End If
Next
End If
End If
If a = True Then
fenjieyinzi = "这是个素数"
Else
fenjieyinzi = "2*2"
End If

End Function
Private Function fenjieyinzi0(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
fenjieyinzi0 = "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
fenjieyinzi0 = fenjieyinzi0 & "2"
b = 1
Else
fenjieyinzi0 = fenjieyinzi0 & "*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
fenjieyinzi0 = fenjieyinzi0 & x
b = 1
Else
fenjieyinzi0 = fenjieyinzi0 & "*" & x
End If
a = a / x
Loop
  
x = x + 2
Loop
  
k = a
a = 1
Loop
  
If b = 1 Then
fenjieyinzi0 = fenjieyinzi0 & "*" & k
Else
fenjieyinzi0 = "这是一个质数"
End If
  
  
  
  

End If

End Function


Private Sub Command1_Click()
Dim x, p
x = Val(Text1)
X1 = Val(Text2)
X2 = x

Do While x <= X1
p = fenjieyinzi(Val(x))
If InStr(Trim(p), "*") = 0 Then
p1 = x - 1: p2 = x + 1: p3 = fenjieyinzi0(Val(p1)): p4 = fenjieyinzi0(Val(p2))
If p1 Mod 4 = 0 And p1 Mod 6 <> 0 And p2 Mod 10 <> 0 And p2 Mod 4 <> 0 Then
s = s + 1
t = t & x & " s=" & s
t = t & " p1=" & p3 & " p2=" & p4 & vbCrLf
Else
s = s
End If

Else
x = x
End If

x = x + 2
Loop

If s > 0 Then
Text3 = "在" & X2 & " 与 " & X1 & " 之间可能的梅森指数p有 " & s & " 个:" & vbCrLf & t
Else
Text3 = "wu  jie"
End If

End Sub

Private Sub Command2_Click()
Text1 = ""
Text2 = ""
Text3 = ""

End Sub
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 楼主| 发表于 2025-5-23 09:19 | 显示全部楼层
Private Function fenjieyinzi0(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
fenjieyinzi0 = "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
fenjieyinzi0 = fenjieyinzi0 & "2"
b = 1
Else
fenjieyinzi0 = fenjieyinzi0 & "*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
fenjieyinzi0 = fenjieyinzi0 & x
b = 1
Else
fenjieyinzi0 = fenjieyinzi0 & "*" & x
End If
a = a / x
Loop
  
x = x + 2
Loop
  
k = a
a = 1
Loop
  
If b = 1 Then
fenjieyinzi0 = fenjieyinzi0 & "*" & k
Else
fenjieyinzi0 = "这是一个质数"
End If

End If

End Function
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 楼主| 发表于 2025-5-23 10:17 | 显示全部楼层
在123456789 与 123456987 之间可能的梅森指数p有 1 个:
123456821 s=1 p1=2^2*5*1063*58071 p2=2*3*17*41*53*5571
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 楼主| 发表于 2025-5-23 10:17 | 显示全部楼层
本帖最后由 ysr 于 2025-5-23 02:59 编辑

Private Function fenjieyinzi0(sa As String) As String
Dim r As String
Dim i, c As Long
r = ""
a = sa
For i = 2 To Sqr(sa)
c = 0
Do While a Mod i = 0
c = c + 1
a = a / i
Loop
If c > 0 Then
r = r & i
If c > 1 Then
r = r & "^" & c
End If
If a > 1 Then
r = r & "*"
End If
End If
Next i

If a > 1 Then
r = r & a
End If
fenjieyinzi0 = r

End Function
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 楼主| 发表于 2025-5-23 10:19 | 显示全部楼层
本帖最后由 ysr 于 2025-5-23 03:01 编辑

Private Function fenjieyinzi(sa As String) As String
Dim x, a, b
x = sa
b = Int(Sqr(Val(x)) / 2)
If x = 3 Or x = 2 Then
a = True
Else
If x Mod 2 = 0 Then
a = False
Else

For i = 3 To 2 * b + 1 Step 2
If x Mod i = 0 Then
a = False
Exit For

Else: a = True

End If
Next
End If
End If
If a = True Then
fenjieyinzi = "这是个素数"
Else
fenjieyinzi = "2*2"
End If

End Function
Private Function fenjieyinzi0(sa As String) As String
Dim r As String
Dim i, c As Long
r = ""
a = sa
For i = 2 To Sqr(sa)
c = 0
Do While a Mod i = 0
c = c + 1
a = a / i
Loop
If c > 0 Then
r = r & i
If c > 1 Then
r = r & "^" & c
End If
If a > 1 Then
r = r & "*"
End If
End If
Next i

If a > 1 Then
r = r & a
End If
fenjieyinzi0 = r

End Function


Private Sub Command1_Click()
Dim x, p
x = Val(Text1)
X1 = Val(Text2)
X2 = x

Do While x <= X1
p = fenjieyinzi(Val(x))
If InStr(Trim(p), "*") = 0 Then
p1 = x - 1: p2 = x + 1: p3 = fenjieyinzi0(Val(p1)): p4 = fenjieyinzi0(Val(p2))
If p1 Mod 4 = 0 And p1 Mod 6 <> 0 And p2 Mod 10 <> 0 And p2 Mod 4 <> 0 Then
s = s + 1
t = t & x & " s=" & s
t = t & " p1=" & p3 & " p2=" & p4 & vbCrLf
Else
s = s
End If

Else
x = x
End If

x = x + 2
Loop

If s > 0 Then
Text3 = "在" & X2 & " 与 " & X1 & " 之间可能的梅森指数p有 " & s & " 个:" & vbCrLf & t
Else
Text3 = "wu  jie"
End If

End Sub

Private Sub Command2_Click()
Text1 = ""
Text2 = ""
Text3 = ""

End Sub
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 楼主| 发表于 2025-5-23 10:25 | 显示全部楼层
在168291939 与 168299939 之间可能的梅森指数p有 83 个:
168291941 s=1 p1=2^2*5*67*125591 p2=2*3*7*13*17*18131
168291953 s=2 p1=2^4*10518247 p2=2*3^2*59*107*14811
168292001 s=3 p1=2^5*5^3*42073 p2=2*3*2297*122111
168292037 s=4 p1=2^2*11*907*42171 p2=2*3*28048673
168292097 s=5 p1=2^8*7*93913 p2=2*3^2*13*719197
168292277 s=6 p1=2^2*6397*65771 p2=2*3^2*7*11*29*53*791
168292301 s=7 p1=2^2*5^2*11*152993 p2=2*3*73*223*17231
168292433 s=8 p1=2^4*7*11*136601 p2=2*3*28048739
168292661 s=9 p1=2^2*5*461*18253 p2=2*3*59*475403
168292781 s=10 p1=2^2*5*59*127*11231 p2=2*3^3*7*41*108591
168292793 s=11 p1=2^3*17^2*83*8771 p2=2*3*23*919*13271
168292913 s=12 p1=2^4*193*54499 p2=2*3*53*167*31691
168292997 s=13 p1=2^2*17*2474897 p2=2*3^3*3116537
168293201 s=14 p1=2^4*5^2*17*24749 p2=2*3*7*11*364271
168293381 s=15 p1=2^2*5*29*290161 p2=2*3*28048897
168293441 s=16 p1=2^6*5*7^2*107331 p2=2*3*28048907
168293453 s=17 p1=2^2*107*393209 p2=2*3*7*719*55731
168293597 s=18 p1=2^2*42073399 p2=2*3*11*2549903
168293717 s=19 p1=2^2*19*307*72131 p2=2*3^2*9349651
168293753 s=20 p1=2^3*11*1912429 p2=2*3^3*19*61*26891
168293777 s=21 p1=2^4*7*479*31371 p2=2*3*17*1171*14091
168293837 s=22 p1=2^2*97*433747 p2=2*3*89*113*27891
168294041 s=23 p1=2^3*5*31*135721 p2=2*3^2*7*1335667
168294281 s=24 p1=2^3*5*7*11*101*5411 p2=2*3*13*71*30389
168294293 s=25 p1=2^2*53*793841 p2=2*3^3*7*431*10331
168294317 s=26 p1=2^2*4691*89691 p2=2*3*28049053
168294437 s=27 p1=2^2*42073609 p2=2*3^2*13*19*37853
168294677 s=28 p1=2^2*11*3824879 p2=2*3*701*40013
168294941 s=29 p1=2^2*5*11*764977 p2=2*3^3*3116573
168294953 s=30 p1=2^3*7*3005267 p2=2*3*28049159
168294977 s=31 p1=2^6*433*60731 p2=2*3^2*223*41927
168295013 s=32 p1=2^2*1753*24001 p2=2*3^2*9349723
168295073 s=33 p1=2^5*11*478111 p2=2*3*28049179
168295181 s=34 p1=2^2*5*1511*55691 p2=2*3*11*2549927
168295313 s=35 p1=2^4*19^2*29137 p2=2*3*11*37*68917
168295397 s=36 p1=2^2*281*149729 p2=2*3*571*49123
168295433 s=37 p1=2^3*21036929 p2=2*3*233*120383
168295481 s=38 p1=2^3*5*1303*32291 p2=2*3^6*115429
168295493 s=39 p1=2^2*101*416573 p2=2*3*59*199*23891
168295601 s=40 p1=2^4*5^2*11*23*16631 p2=2*3*241*116387
168295637 s=41 p1=2^2*43*978463 p2=2*3*7*4007039
168295661 s=42 p1=2^2*5*13*73*88671 p2=2*3^2*971*96291
168295781 s=43 p1=2^2*5*83*101383 p2=2*3*109*277*9291
168295817 s=44 p1=2^3*13*29*41*13611 p2=2*3*17*1649959
168295973 s=45 p1=2^2*13*181*17881 p2=2*3*7*11*89*40931
168296081 s=46 p1=2^4*5*701*30011 p2=2*3*127*220861
168296201 s=47 p1=2^3*5^2*53*15877 p2=2*3^2*37*59*42831
168296321 s=48 p1=2^7*5*59*44571 p2=2*3*28049387
168296441 s=49 p1=2^3*5*13*323647 p2=2*3*28049407
168296477 s=50 p1=2^2*173*243203 p2=2*3*7^2*572437
168296501 s=51 p1=2^2*5^3*336593 p2=2*3*11*101*25247
168296741 s=52 p1=2^2*5*8414837 p2=2*3^2*2281*40991
168296873 s=53 p1=2^3*17*109*113531 p2=2*3*179*349*4491
168297317 s=54 p1=2^2*11*3824939 p2=2*3^3*7*47*94731
168297377 s=55 p1=2^5*13*137*29531 p2=2*3*28049563
168297401 s=56 p1=2^3*5^2*307*27411 p2=2*3*7*13*19*16223
168297557 s=57 p1=2^2*7^2*29^2*10211 p2=2*3*11*13*73*26871
168297593 s=58 p1=2^3*19*727*15231 p2=2*3*5099*55011
168297641 s=59 p1=2^3*5*7*647*9291 p2=2*3^3*3116623
168297653 s=60 p1=2^2*42074413 p2=2*3*7^2*17*151*2231
168297797 s=61 p1=2^2*131*509*6311 p2=2*3*28049633
168297821 s=62 p1=2^2*5*19*211*20991 p2=2*3^2*7*11*31*39171
168297881 s=63 p1=2^3*5*103*40849 p2=2*3*47*199*29991
168297917 s=64 p1=2^2*101*416579 p2=2*3*28049653
168298073 s=65 p1=2^3*21037259 p2=2*3^4*7*148411
168298157 s=66 p1=2^2*13*3236503 p2=2*3*7*4007099
168298217 s=67 p1=2^3*43*489239 p2=2*3^2*11*849991
168298433 s=68 p1=2^6*821*32031 p2=2*3^2*73*263*4871
168298457 s=69 p1=2^3*673*31259 p2=2*3*2237*125391
168298541 s=70 p1=2^2*5*47*179041 p2=2*3^2*19*29*71*2391
168298553 s=71 p1=2^3*173*277*4391 p2=2*3*28049759
168299141 s=72 p1=2^2*5*8414957 p2=2*3*11^2*23*100791
168299177 s=73 p1=2^3*67*313991 p2=2*3*41*89*76871
168299213 s=74 p1=2^2*42074803 p2=2*3*3209*87411
168299333 s=75 p1=2^2*1901*22133 p2=2*3^2*7*43*31063
168299477 s=76 p1=2^2*1223*34403 p2=2*3^3*3116657
168299501 s=77 p1=2^2*5^3*336599 p2=2*3*7*4007131
168299513 s=78 p1=2^3*21037439 p2=2*3^2*9349973
168299561 s=79 p1=2^3*5*11*13*29423 p2=2*3*28049927
168299693 s=80 p1=2^2*11*3824993 p2=2*3^4*17*23*26571
168299741 s=81 p1=2^2*5*7*23*52267 p2=2*3*13*59*36571
168299921 s=82 p1=2^4*5*2103749 p2=2*3*7*4007141
168299933 s=83 p1=2^2*17*2474999 p2=2*3*11*29*87931
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 楼主| 发表于 2025-5-23 10:45 | 显示全部楼层
比如s=2,18,37,60,65,……等几个值的p-1的不同的质因数仅仅是两个,是不符合条件的,所以,还需要改进一下程序。
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