求版主：

ysr

314261~314263之间的素数有2个：
314261  314263

ysr

1与100之间的素数打头有2组差为2和22和2的4生素数对:
/5/7/29/31
/17/19/41/43
1与100之间的素数打头有3组差为2和10和2的4生素数对:
/5/7/17/19
/17/19/29/31
/59/61/71/73

ysr

1与1000之间的素数打头有4组差为2和22和2的4生素数对:
/5/7/29/31
/17/19/41/43
/617/619/641/643
/857/859/881/883
1与1000之间的素数打头有9组差为2和10和2的4生素数对:
/5/7/17/19
/17/19/29/31
/59/61/71/73
/137/139/149/151
/179/181/191/193
/227/229/239/241
/269/271/281/283
/809/811/821/823
/1019/1021/1031/1033

ysr

10000000000~10000000100之间的素数有5个：（用时1.84375秒）
10000000019  10000000033  10000000061  10000000069  10000000097    .
再次修改了一下，程序速度有所提高，代码重发如下：

Private Function zhengchuqyushu(sa As String) As String
If InStr(sa, "/") = 0 Then
zhengchuqyushu = 0
Else
zhengchuqyushu = Mid(sa, InStr(sa, "/") + 1)
End If


End Function


Private Function zhengchuqy(sa As String) As String
If InStr(sa, "/") = 0 Then
zhengchuqy = sa
Else
zhengchuqy = Left(sa, InStr(sa, "/") - 1)
End If


End Function


Public Function MBBC(D1 As String) As String 'kai pingfang
If Len(D1) < 10 Then
jss = Int(Sqr(D1))
JW = Val(D1) - (jss) ^ 2
  If JW = 0 Then
  MBBC = jss
  Else
  MBBC = jss & "/" & JW
    End If
Else
Dim x 'shuju changdu
x = Len(D1) \ 4
D2 = String(4 - Len(D1) + 4 * x, "0") & D1
Dim A() As String
ReDim A(4 To 4 * x + 4)
Dim B() As String
ReDim B(2 To 2 * x)
Dim I, J, js
  For I = 4 To 4 * x + 4 Step 4
  
A(I) = Mid(D2, I - 3, 4)
js = Int(Sqr(Val(A(4) & A(8))))
JW = Val(A(4) & A(8)) - (js) ^ 2
Next
   J = 4
   Do While J <= 2 * x
   
   jws = MPC1(JW & "0000", A(2 * J + 4))
   If MBJC(Trim(jws), MbC(Trim(js), 200)) <= 0 Then
    B(J) = "00"
    Else
    jwc = Left(jws, Len(jws) - Len(MbC(Trim(js), 200)) + 2) \ Left(MbC(Trim(js), 200), 2)
    If Len(jwc) > 2 Then
     B(J) = 99
     Else
     B(J) = jwc
     End If
   
     
     Do While MBJC(Trim(jws), MbC(MPC1(B(J), MbC(Trim(js), 200)), B(J))) = -1
     
     B(J) = B(J) - 1
     
               Loop
          End If
          JW = MPC(Trim(jws), MbC(MPC1(MbC(200, Trim(js)), B(J)), B(J)))
      
     js = MPC1(MbC(Trim(js), 100), Trim(B(J)))
     
      
   J = J + 2
   If JW = 0 Then
      
   MBBC = js
   Else
   MBBC = js & "/" & JW
   End If
   Loop
   
End If
End Function

Public Function MBJC(D1 As String, D2 As String) As String ';bijiao
If Len(D1) <= 10 And Len(D2) <= 10 Then
If Val(D1) > Val(D2) Then
MBJC = 1
Else
If Val(D1) = Val(D2) Then
MBJC = 0
Else
MBJC = -1
End If
End If
Else

If Len(D1) > Len(D2) Then
MBJC = 1
Else
If Len(D1) < Len(D2) Then
MBJC = -1
Else
If Len(D1) = Len(D2) Then
Dim x, Y
x = Len(D1) \ 4: Y = Len(D2) \ 4
Dim A() As String, B() As String
ReDim A(4 To 4 * x + 4)
ReDim B(4 To 4 * Y + 4)
If Val(Left(D1, Len(D1) - 4 * x)) > Val(Left(D2, Len(D2) - 4 * Y)) Then
  MBJC = 1
  Else
  If Val(Left(D1, Len(D1) - 4 * x)) < Val(Left(D2, Len(D2) - 4 * Y)) Then
  MBJC = -1
  Else
  For I = 4 To 4 * x Step 4
  A(I) = Mid(D1, Len(D1) - I + 1, 4)
  B(I) = Mid(D2, Len(D2) - I + 1, 4)
  Next
  J = 4 * x
  Do While A(J) = B(J) And J >= 8
  
  J = J - 4
     Loop
     
     
   If Val(A(J)) - Val(B(J)) > 0 Then
   MBJC = 1
   Else
   If Val(A(J)) - Val(B(J)) < 0 Then
   MBJC = -1
   Else
   MBJC = 0
   End If
   
  End If
  
  
  
End If
End If
End If
End If
End If
End If
End Function

Public Function MCC(D1 As String, D2 As String) As String ';除数少于8位的除法
If Len(D1) < Len(D2) Then
   MCC = "0" & "/" & D1
   Else
   If Len(D1) < 9 Then
    MCC = Val(D1) \ Val(D2) & "/" & Val(D1) - (Val(D1) \ Val(D2)) * Val(D2)
     If Mid(MCC, InStr(MCC, "/") + 1) = 0 Then
  MCC = Left(MCC, InStr(MCC, "/") - 1)
Else
MCC = MCC
End If
   
    Else
   
   Dim x ';fen duan changdu
   x = Len(D1)
   
     
   
     Dim A() As String
      ReDim A(1 To x)  ';定义数组的储存空间
      For I = 1 To x Step 1  ';把被除数各位放在a()中
       A(I) = Mid(D1, I, 1)
        
      
       Next I
      Dim B() As String
      JW = 0
     ReDim B(1 To x)
     For J = 1 To x Step 1
    B(J) = Val(JW & A(J)) \ Val(D2)
      JW = Val(JW & A(J)) - Val(B(J)) * Val(D2)
       Next J
       For r = 1 To x
       If JW = 0 Then
          MCC = MCC & B(r)
          Else
          CJ = CJ & B(r)
          MCC = CJ & "/" & JW
      
    End If
   
    For I = 1 To Len(MCC)
   If Not Mid(MCC, I, 1) = "0" Then
       Exit For
   End If
Next
strTmp = Mid(MCC, I)
If Len(strTmp) = 0 Then
MCC = "0"
Else
MCC = strTmp
End If
   
   Next
   
   End If
     
     End If
   
End Function

Public Function MCC1(D1 As String, D2 As String) As String ';大整数的除法
Dim ss
ss = MBJC(D1, D2)
If ss = -1 Then
MCC1 = "0" & "/" & D1
  Else
  If ss = 0 Then
   MCC1 = 1
   Else
   If Len(D1) = Len(D2) Then
     s = Val(Left(D1, 1)) \ Val(Left(D2, 1))

Do While MBJC(MbC(Trim(s), Trim(D2)), D1) = 1
  s = s - 1
  Loop
  If MBJC(MbC(Trim(s), Trim(D2)), D1) = 0 Then
   MCC1 = s
   Else
   MCC1 = s & "/" & MPC(Trim(D1), MbC(Trim(s), Trim(D2)))

End If
    Else
    If Len(D2) < 9 Then
     MCC1 = MCC(D1, D2)
     Else
    Dim x, Y ';定义分段长度
    x = Len(D1): Y = Len(D2)
   
Dim JW, jcc, jss, jcs

  Dim A() As String, B() As String
  
  ReDim A(1 To x)
  ReDim B(1 To Y)
  For I = 1 To x
  A(I) = Mid(D1, I, 1)
  Next
  For J = 1 To Y
  B(J) = Mid(D2, J, 1)
  Next
  jcc = Val(A(1) & A(2)) \ Val(B(1) & B(2))
   
      
        
  jss = MbC(Trim(jcc), D2)
   For i1 = 1 To Y
    jws = jws & A(i1)
      Next
      
      Do While MBJC(Trim(jws), Trim(jss)) = -1
      jcc = jcc - 1
      jss = MbC(Trim(jcc), D2)
      Loop
  JW = MPC(Trim(jws), Trim(jss))
  
    z = x - Y
   
    Dim c() As String
    ReDim c(1 To z)
    For s = 1 To z
     If MBJC(JW & A(s + Y), D2) = -1 Then
       c(s) = "0"
       Else
     jwc = Val(Left(JW & A(s + Y), 3)) \ Val(Left(D2, 2))
      If Len(jwc) > 1 Then
      c(s) = "9"
       Else
        c(s) = jwc
         End If
      
     Do While MBJC(JW & A(s + Y), MbC(Val(c(s)), D2)) = -1
    c(s) = Right(10000 + Val(c(s) - 1), 1)
     Loop
     End If
   
     JW = MPC(JW & A(s + Y), MbC(Val(c(s)), D2))
     
    jcc = jcc & c(s)
    Next s
    If JW = 0 Then
    MCC1 = jcc
    Else
    MCC1 = jcc & "/" & JW
    End If
   
  For I = 1 To Len(MCC1)
    If Not Mid(MCC1, I, 1) = "0" Then
        Exit For
    End If
Next
strTmp = Mid(MCC1, I)
  If Len(strTmp) = 0 Then
  MCC1 = "0"
  Else
MCC1 = strTmp
End If
   
   
   
    End If
   
   
   
   
   
  
  End If
End If
End If
End Function

        Public Function MbC(D1 As String, D2 As String) As String
Dim j1&, j2&, e&, d&, E1&

   ' 按列法计算C=A*B
m = Trim(D1): n = Trim(D2)
x = Len(m) \ 4: Y = Len(n) \ 4
m = String(4 * x + 4 - Len(m), "0") & m
n = String(4 * Y + 4 - Len(n), "0") & n
x = x + 1: Y = Y + 1
Dim A(), B()
ReDim A(1 To x): ReDim B(1 To Y)
For i1 = 1 To x
A(i1) = Val(Mid(m, i1 * 4 - 3, 4))
Next
For i2 = 1 To Y
B(i2) = Val(Mid(n, i2 * 4 - 3, 4))
Next
ma = x: mb = Y
    MC = ma + mb
    ReDim c(MC)
    E1 = 0
    j1 = ma: j2 = ma
    For I = MC To 2 Step -1
        If I <= ma Then j2 = I - 1
        e = E1: E1 = 0
        For J = j1 To j2
            e = e + A(J) * B(I - J)
            If e > 2040000000 Then '减少进位次数
                e = e - 2040000000
                E1 = E1 + 204000
            End If
        Next J

        If j1 > 1 Then j1 = j1 - 1
base = 10000
        d = e \ base
        c(I) = e - d * base
        If Len(c(I)) < 4 Then
        c(I) = String(4 - Len(c(I)), "0") & c(I)
        Else
        c(I) = c(I)
        End If
jc = c(I) & jc
        E1 = E1 + d
    Next I
    jc = d & jc
   MbC = qqdl(Trim(jc))
End Function

'该程序已经做了修改，不是去掉前导0的问题，是补够前导0的问题。


Public Function MPC(D1 As String, D2 As String) As String ';jianfaqi
  Dim x, Y ';两数长度
  If qqdl(D2) = "0" Then
  MPC = D1
  Else
If Len(D1) >= Len(D2) Then
  D4 = String(Len(D1) - Len(D2), "0") & D2
  D3 = D1
  Else
  D4 = D2
  D3 = String(Len(D2) - Len(D1), "0") & D1
  End If
  x = Len(D3) \ 8: Y = Len(D4) \ 8
  D3 = String(8 * x + 8 - Len(D3), "0") & D3
  D4 = String(8 * Y + 8 - Len(D4), "0") & D4
  x = x + 1: Y = Y + 1
  
  Dim A() As String, B1() As String, C1() As String, E1() As String
  ReDim A(1 To x)
  ReDim B1(1 To Y)
  ReDim C1(1 To x)
  ReDim E1(1 To x)
  Dim I, J, C2, CJ, JW
  For J = Y To 1 Step -1 ';D2
  JW = 1 ';yu jie weichuzhi
  B1(J) = Mid(D4, J * 8 - 7, 8) ';每位数
For I = x To 1 Step -1  ';D1
     A(I) = Mid(D3, I * 8 - 7, 8) ';每位数
   C1(I) = Val(1 & A(I)) - Val(B1(I)) - Val(1) + Val(JW) ';计算jia
   If Len(C1(I)) <= 8 Then
   JW = 0
   C1(I) = String(8 - Len(C1(I)), "0") & C1(I)
   Else
     JW = Left(C1(I), Len(C1(I)) - 8)
     End If
     E1(I) = Right(C1(I), 8)
     If Len(E1(I)) < 8 Then
     E1(I) = String(8 - Len(E1(I)), "0") & E1(I)
     Else
     E1(I) = E1(I)
     End If
     
    Next
    Next
    For r = 1 To x
    MPC = MPC & E1(r)
    If Len(MPC) > Len(D1) Then
    MPC = Mid(MPC, Len(MPC) - Len(D1) + 1)
    Else
    MPC = MPC
    End If
    For I = 1 To Len(MPC)
      If Not Mid(MPC, I, 1) = "0" Then
          Exit For
      End If
  Next
  strTmp = Mid(MPC, I)
    If Len(strTmp) = 0 Then
    MPC = "0"
    Else
  MPC = strTmp
  End If
    Next
   End If
   
  End Function

Public Function MPC1(D1 As String, D2 As String) As String 'jiafa
  Dim x, Y, JW '两数长度

If Len(D1) >= Len(D2) Then
  D4 = String(Len(D1) - Len(D2), "0") & D2
  D3 = D1
  Else
  D4 = D2
  D3 = String(Len(D2) - Len(D1), "0") & D1
  End If
  x = Len(D3) \ 8: Y = Len(D4) \ 8
  If 8 * x < Len(D3) Then
  D3 = String(8 * x + 8 - Len(D3), "0") & D3
  D4 = String(8 * Y + 8 - Len(D4), "0") & D4
  x = x + 1: Y = Y + 1
  Else
  x = x: Y = Y
  D3 = D3: D4 = D4
  End If
  Dim A() As String, B1() As String, C1() As String, E1() As String
  ReDim A(1 To x)
  ReDim B1(1 To Y)
  ReDim C1(1 To x)
  ReDim E1(1 To x)
  Dim I, J, C2, CJ
  For J = Y To 1 Step -1 'D2
  JW = 0 '进位清0
  B1(J) = Mid$(D4, J * 8 - 7, 8) '每位数
For I = x To 1 Step -1  'D1
     A(I) = Mid$(D3, I * 8 - 7, 8) '每位数
   C1(I) = Val(A(I)) + Val(B1(I)) + Val(JW) '计算jia
   If Len(C1(I)) < 8 Then
   C1(I) = String(8 - Len(C1(I)), "0") & C1(I)
   Else
   C1(I) = C1(I)
   End If
     JW = Left(C1(I), Len(C1(I)) - 8)
     E1(I) = Right(C1(I), 8)
    Next
    Next
    For r = 1 To x
    If JW = 0 Then
    MPC1 = MPC1 & E1(r)
    Else
    jc = jc & E1(r)
    MPC1 = JW & jc
    End If
    Next
   MPC1 = qqdl(Trim(MPC1))
  End Function
  
  Private Function qqdl(sa As String) As String

  
  For I = 1 To Len(sa)
    If Not Mid(sa, I, 1) = "0" Then
        Exit For
    End If
Next
strTmp = Mid(sa, I)
  If Len(strTmp) = 0 Then
  qqdl = "0"
  Else
qqdl = strTmp
End If
End Function


Private Function zzxc(sa As String, sb As String) As String
Dim A, B, c, d, r
  A = Trim(sa)
  B = Trim(sb)
  If Len(A) < 10 And Len(B) < 10 Then
  
  If Val(A) > Val(B) Then
     c = A
     d = B
  Else
     c = B
     d = A
  End If
Do Until Val(c) Mod Val(d) = 0
     r = c Mod d
     c = d
     d = r
  Loop
  
  Else
  
  If MBJC(Trim(A), Trim(B)) >= 1 Then
  c = A
  d = B
  Else
  c = B
  d = A
  End If
  Do Until zhengchuqyushu(MCC1(Trim(c), Trim(d))) = 0
  r = zhengchuqyushu(MCC1(Trim(c), Trim(d)))
  c = d
  d = r
  Loop
  End If

  
  zzxc = d
  
End Function

Private Function qniyuan(sa As String, sb As String) As String
Dim n, p, A, B, c, d, r
  n = Trim(sa)
  p = Trim(sb)
  A = 1
  B = 0
  c = 0
  d = 1
  If Len(n) < 10 And Len(p) < 10 Then
  
  If Val(n) > Val(p) Then
     m = n
     q = p
     s1 = 1
  Else
     m = p
     q = n
     s1 = 0
  End If
Do Until Val(m) Mod Val(q) = 0
    s = m \ q
     r = m Mod q
     s1 = s1 + 1
     If s1 Mod 2 = 1 Then
     A = A
     B = A * s + B
     c = c
     d = c * s + d
     Else
     B = B
     A = A + B * s
     d = d
     c = c + d * s
     End If
     m = q
     q = r
  Loop
  If Val(A + B * m) = p Then
  B = B
  A = A + B * (m - 1)
  d = d
  c = c + d * (m - 1)
  Else
  If Val(B + A * m) = p Then
  A = A
  B = B + A * m
  c = c
  d = d + c * m
  Else
  B = B
  A = A + B * (m - 1)
  d = d
  c = c + d * (m - 1)
  End If
  End If
x = (A + B) Mod p
  Y = (c + d) Mod n
  
  
  Else
  
  If MBJC(Trim(n), Trim(p)) >= 1 Then
  m = n
  q = p
  s1 = 1
  Else
  m = p
  q = n
  s1 = 0
  End If
  Do Until zhengchuqyushu(MCC1(Trim(m), Trim(q))) = 0
  s = zhengchuqy(MCC1(Trim(m), Trim(q)))
  r = zhengchuqyushu(MCC1(Trim(m), Trim(q)))
  s1 = s1 + 1
  If s1 Mod 2 = 1 Then
  A = A
  B = MPC1(MbC(Trim(A), Trim(s)), Trim(B))
  c = c
  d = MPC1(MbC(Trim(c), Trim(s)), Trim(d))
  Else
  B = B
  A = MPC1(Trim(A), MbC(Trim(B), Trim(s)))
  d = d
  c = MPC1(Trim(c), MbC(Trim(d), Trim(s)))
  End If
  
  m = q
  q = r
  Loop
  
  If MPC1(Trim(A), MbC(Trim(B), Trim(m))) = p Then
  B = B
  A = MPC1(Trim(A), MbC(Trim(B), MPC(Trim(m), 1)))
  d = d
  c = MPC1(Trim(c), MbC(Trim(d), MPC(Trim(m), 1)))
  Else
  If MPC1(Trim(B), MbC(Trim(A), Trim(m))) = p Then
  A = A
  B = MPC1(Trim(B), MbC(Trim(A), Trim(m)))
  c = c
  d = MPC1(Trim(d), MbC(Trim(c), Trim(m)))
  Else
  B = B
  A = MPC1(Trim(A), MbC(Trim(B), MPC(Trim(m), 1)))
  d = d
  c = MPC1(Trim(c), MbC(Trim(d), MPC(Trim(m), 1)))
  End If
  End If
Do While Left(A, 1) = "0"
    A = Mid(A, 2)
Loop
  
  End If
  
  qniyuan = A
End Function

Private Function qksmimo(sa As String, sb As String, sc As String) As String
Dim c, e, n, d
c = Trim(sa)
e = Trim(sb)
n = Trim(sc)
d = 1
If Len(c) < 5 And Len(e) < 5 And Len(n) < 5 Then
c = Val(c): n = Val(n)
Do While e > 0
If Right(e, 1) Mod 2 = 0 Then
c = c * c Mod n
e = e / 2

Else
d = d * c Mod n
e = e - 1
End If
Loop
Else
c = c
Do While MBJC(Trim(e), 1) >= 0
If Right(e, 1) Mod 2 = 0 Then
c = zhengchuqyushu(MCC1(MbC(Trim(c), Trim(c)), Trim(n)))
e = zhengchuqy(MCC1(Trim(e), 2))
Else
d = zhengchuqyushu(MCC1(MbC(Trim(c), Trim(d)), Trim(n)))
e = MPC(Trim(e), 1)
End If
Loop
End If

qksmimo = d
End Function

Private Function fenjieyinzi(sa As String) As String
Dim A, B
Dim x As String
x = sa
B1 = Sqr(Val(x)) / 2
If InStr(B1, ".") = 0 Then
B = B1
Else
B = Left(B1, InStr(B1, ".") - 1)
End If
If x = 3 Or x = 2 Then
A = True
Else
If Right(x, 1) Mod 2 = 0 Then
A = False
Else
For I = 3 To 2 * B + 1 Step 2
b2 = x / I
If InStr(b2, ".") = 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 A, n
n = Trim(Text1)
n3 = n
m = Trim(Text2)
ts = Timer
Do While MBJC(Trim(n), 3) < 0
If MBJC(Trim(n), 2) = 0 Then
m1 = m1 & n & "  "
s = s + 1
Else
m1 = m1
End If
n = n + 1
Loop
If Right(n, 1) Mod 2 = 0 Then
n = MPC1(Trim(n), 1)
Else
n = n
End If
Do While MBJC(Trim(n), Trim(m)) <= 0
If Len(n) < 11 Then
a1 = fenjieyinzi(Trim(n))
If InStr(a1, "*") = 0 Then
s = s + 1
If s Mod 10 = 0 Then
m1 = m1 & n & vbCrLf
Else
m1 = m1 & n & "  "
End If
Else
m1 = m1
End If
Else
n1 = MPC(Trim(n), 1)
A = 123
'a为明文
a1 = zzxc(Trim(n), Trim(A))
If Val(a1) > 1 Then
m1 = m1
Else
c = 999
'c为公约
Do While zzxc(Trim(n1), Trim(c)) > 1
c = Val(c - 1)
Loop
d = qniyuan(Trim(c), Trim(n1))
'd为逆元为私钥
a2 = qksmimo(Trim(A), Trim(c), Trim(n))
'a2为密文
a3 = qksmimo(Trim(a2), Trim(d), Trim(n))
If MBJC(Trim(a3), Trim(A)) = 0 Then
s = s + 1
If s Mod 10 = 0 Then
m1 = m1 & n & vbCrLf
Else
m1 = m1 & n & "  "
End If
Else
m1 = m1
End If
End If
End If
n = MPC1(Trim(n), 2)
Loop
Text3 = n3 & "~" & m & "之间的素数有" & s & "个：（用时" & Timer - ts & "秒）" & vbCrLf & m1
End Sub

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

lusishun

计算高手啊

ysr

lusishun 发表于 2021-4-4 07:03
计算高手啊

感谢鼓励和支持！算不上高手，人家都是毫秒级的，我是把各种传说中的快速方法都尝试了，速度并没有大幅提高，仅仅稍微好一点，咋回事呢？还得考虑一下，不知道咋弄的，可能是硬件问题？普通电脑达不到那个效果？

ysr

10000000000~10000000100之间的素数有5个：（用时2.714844秒）
10000000019  10000000033  10000000061  10000000069  10000000097  
（同样的程序，在单位电脑上就稍微快一点）

lusishun

ysr 发表于 2021-4-4 09:43
感谢鼓励和支持！算不上高手，人家都是毫秒级的，我是把各种传说中的快速方法都尝试了，速度并没有大幅提 ...

别浪费时间和资源，没有必要，做点别的

ysr

lusishun 发表于 2021-4-4 10:00
别浪费时间和资源，没有必要，做点别的

人各有志，我也不过玩玩而已，想要破解世界纪录，我的程序速度，距离轻松破解纪录还差的远，不过我道是能估计出能破解世界纪录的素数的大致位置，如果程序速度够快的话，那是有可能轻松破解纪录的。
奈何程序速度老师提不上来，还要努力提高程序速度。仅仅是玩玩而已，即使破解了世界纪录又能怎么样？
根本没有人重视，没有人关注更别说给你评审了，仅仅自己高兴一下，仅仅是个人爱好而已，就算个智力活动，娱乐一下而已。
国家都不重视，谈不上啥意义，更别说去国际上为国争光了，都是瞎扯淡的。仅仅自己娱乐和留作来过人世的证据而已，这也算个意义吧？

ysr

lusishun 发表于 2021-4-4 07:03
计算高手啊

有个网友说，20亿内的素数表，其程序能在100毫秒内打出来，用的是筛法，对整数批处理的不是逐个判断的，不过此法太占内存，普通电脑20亿以外的用此法就会显示内存溢出，改用其他法就慢了。
所以，普通电脑一般最多可以迅速打出20亿以内的素数表，再大的话就只能单独判断或分成整数小段判断了，就是在很小的一段大整数中判断有几个素数。