' Generates (Pan) Magic Squares of order 4 for Prime Numbers
' Tested with Office 2007 under Windows 7
Sub Priem4a()
Dim a1(72), a(16), b1(1013), b(1013), c(16)
y = MsgBox("Locked", vbCritical, "Routine Priem4a")
End
n2 = 0: n3 = 0: n9 = 0: n10 = 0: k1 = 1: k2 = 1
m1 = 1: m2 = 16
s1 = 1680
a1(1) = 11: a1(2) = 29: a1(3) = 53: a1(4) = 71:
a1(5) = 89: a1(6) = 107: a1(7) = 131: a1(8) = 149:
a1(9) = 691: a1(10) = 709: a1(11) = 733: a1(12) = 751:
a1(13) = 769: a1(14) = 787: a1(15) = 811: a1(16) = 829:
'' a1(1) = 13: a1(2) = 17: a1(3) = 79: a1(4) = 83:
'' a1(5) = 97: a1(6) = 101: a1(7) = 163: a1(8) = 167:
'' a1(9) = 673: a1(10) = 677: a1(11) = 739: a1(12) = 743:
'' a1(13) = 757: a1(14) = 761: a1(15) = 823: a1(16) = 827:
'' a1(1) = 19: a1(2) = 67: a1(3) = 179: a1(4) = 193:
'' a1(5) = 227: a1(6) = 241: a1(7) = 353: a1(8) = 401:
'' a1(9) = 439: a1(10) = 487: a1(11) = 599: a1(12) = 613:
'' a1(13) = 647: a1(14) = 661: a1(15) = 773: a1(16) = 821:
'' a1(1) = 139: a1(2) = 199: a1(3) = 233: a1(4) = 293:
'' a1(5) = 337: a1(6) = 349: a1(7) = 397: a1(8) = 409:
'' a1(9) = 431: a1(10) = 443: a1(11) = 491: a1(12) = 503:
'' a1(13) = 547: a1(14) = 607: a1(15) = 641: a1(16) = 701:
For i1 = m1 To m2
b1(a1(i1)) = a1(i1)
Next i1
' Generate squares
Sheets("Klad1").Select
t1 = Timer
For j16 = m1 To m2 'a(16)
If b(a1(j16)) = 0 Then b(a1(j16)) = a1(j16): c(16) = a1(j16) Else GoTo 160
a(16) = a1(j16)
For j15 = m1 To m2 'a(15)
If b(a1(j15)) = 0 Then b(a1(j15)) = a1(j15): c(15) = a1(j15) Else GoTo 150
a(15) = a1(j15)
For j14 = m1 To m2 'a(14)
If b(a1(j14)) = 0 Then b(a1(j14)) = a1(j14): c(14) = a1(j14) Else GoTo 140
a(14) = a1(j14)
a(13) = s1 - a(14) - a(15) - a(16)
If a(13) < a1(m1) Or a(13) > a1(m2) Then GoTo 130
If b1(a(13)) = 0 Then GoTo 130
If b(a(13)) = 0 Then b(a(13)) = a(13): c(13) = a(13) Else GoTo 130
For j12 = m1 To m2 'a(12)
If b(a1(j12)) = 0 Then b(a1(j12)) = a1(j12): c(12) = a1(j12) Else GoTo 120
a(12) = a1(j12)
For j11 = m1 To m2 'a(11)
If b(a1(j11)) = 0 Then b(a1(j11)) = a1(j11): c(11) = a1(j11) Else GoTo 110
a(11) = a1(j11)
For j10 = m1 To m2 'a(10)
If b(a1(j10)) = 0 Then b(a1(j10)) = a1(j10): c(10) = a1(j10) Else GoTo 100
a(10) = a1(j10)
a(9) = s1 - a(10) - a(11) - a(12)
If a(9) < a1(m1) Or a(9) > a1(m2) Then GoTo 90
If b1(a(9)) = 0 Then GoTo 90
If b(a(9)) = 0 Then b(a(9)) = a(9): c(9) = a(9) Else GoTo 90
For j8 = m1 To m2 'a(8)
If b(a1(j8)) = 0 Then b(a1(j8)) = a1(j8): c(8) = a1(j8) Else GoTo 80
a(8) = a1(j8)
a(7) = a(8) - a(10) + a(12) - a(13) + a(16)
If a(7) < a1(m1) Or a(7) > a1(m2) Then GoTo 70:
If b1(a(7)) = 0 Then GoTo 70
a(6) = s1 - a(8) - a(11) - a(12) + a(13) - a(16)
If a(6) < a1(m1) Or a(6) > a1(m2) Then GoTo 70:
If b1(a(6)) = 0 Then GoTo 70
a(5) = -a(8) + a(10) + a(11)
If a(5) < a1(m1) Or a(5) > a1(m2) Then GoTo 70:
If b1(a(5)) = 0 Then GoTo 70
a(4) = s1 - a(7) - a(10) - a(13)
If a(4) < a1(m1) Or a(4) > a1(m2) Then GoTo 70:
If b1(a(4)) = 0 Then GoTo 70
a(3) = -s1 - a(8) + a(9) + 2 * a(10) + 2 * a(13) + a(14)
If a(3) < a1(m1) Or a(3) > a1(m2) Then GoTo 70:
If b1(a(3)) = 0 Then GoTo 70
a(2) = a(8) - a(9) - 2 * a(10) + a(15) + 2 * a(16)
If a(2) < a1(m1) Or a(2) > a1(m2) Then GoTo 70:
If b1(a(2)) = 0 Then GoTo 70
a(1) = a(8) + a(12) - a(13)
If a(1) < a1(m1) Or a(1) > a1(m2) Then GoTo 70:
If b1(a(1)) = 0 Then GoTo 70
' Exclude solutions with identical numbers
GoSub 800: If fl1 = 0 Then GoTo 70
n10 = n10 + 1
' n9 = n9 + 1: GoSub 640 'Print results (selected numbers)
n9 = n9 + 1: GoSub 650 'Print results (squares)
70 b(c(8)) = 0: c(8) = 0
80 Next j8
b(c(9)) = 0: c(9) = 0
90 b(c(10)) = 0: c(10) = 0
100 Next j10
b(c(11)) = 0: c(11) = 0
110 Next j11
b(c(12)) = 0: c(12) = 0
120 Next j12
b(c(13)) = 0: c(13) = 0
130 b(c(14)) = 0: c(14) = 0
140 Next j14
b(c(15)) = 0: c(15) = 0
150 Next j15
b(c(16)) = 0: c(16) = 0
160 Next j16
n10 = 0
10 Next j100
t2 = Timer
t10 = Str(t2 - t1) + " sec., " + Str(n9) + " Solutions for sum" + Str(s1)
y = MsgBox(t10, 0, "Routine Priem4a")
End
' Print results (selected numbers)
640 For i1 = 1 To 16
Cells(n9, i1).Value = a(i1)
Next i1
Return
' Print results (squares)
650 n2 = n2 + 1
If n2 = 5 Then
n2 = 1: k1 = k1 + 5: k2 = 1
Else
If n9 > 1 Then k2 = k2 + 5
End If
Cells(k1, k2 + 1).Select
Cells(k1, k2 + 1).Font.Color = -4165632
Cells(k1, k2 + 1).Value = n10
i3 = 0
For i1 = 1 To 4
For i2 = 1 To 4
i3 = i3 + 1
Cells(k1 + i1, k2 + i2).Value = a(i3)
Next i2
Next i1
Return
' Exclude solutions with identical numbers
800 fl1 = 1
For j1 = 1 To 16
a2 = a(j1)
For j2 = (1 + j1) To 16
If a2 = a(j2) Then fl1 = 0: Return
Next j2
Next j1
Return
End Sub
