Prime Packings of the Pseudo-Pentomino j:     Torsten Sillke, FRA
		      initial version: 1998-07 (data of H. Postl)
	update: 1999-01[2] 14x{50,70} 16x{60,80+10k} 17x60    M. Reid
	update: 1999-01[2] impossible 14, 16 series           M. Reid

    x
    x
    x       
x x .   = j5

2-dim:
------

 Nx 12, 14, 16, 17, 18?, 20, 

 20x 17?, 18?, 20p
 25x
 30x 30p
 35x 
 40x 12p, 14p
 45x
 50x 12p, 14p
 55x 12p
 60x 12p, 16p, 17p
 65x 12p
 70x 12p, 14p
 75x 12p
 80x 12, 14, 16p
 85x 12p
 90x 12, 14, 16p
 95x 12,
100x 12, 14, 16p



InComplete list of prime rectangles (# = ??):

 12x{40, 50, 55, 60, 65, 70, 75, 85}  
 14x{40, 50, 70}
 16x{60, 80, 90, 100, 110, 130}
 17 x 60 ?
 20x20  30x30

Impossible:

 Nx{3..11,13,15,19}
 12x{20,25,30,35,45}
 14x{20,30}
 14x(10n+5) 
 16x{20,30}
 16x(10n+5) 

Annotaions:

  building blocks:

                              2 2      3 3
    1 2                     2 1      3 1 2
    1 2         1 2         2 1      3 1 2
    1 2         1 2         2 1      3 1 2
  2 2 1 1   2 2 2 1 1 1   1 1        2 2 1 1

the 20-square (a solution with C4 symmetry):

  a a a a b b c c c c .
  a a a b b b c c c c c 1
  a a a b b b c c c c c 1
  a a a b b b c d 1 1 1
  e a a b b b b d d d d
  e f f f f f f d d d d
  e e e f f f g d 2 2 .
  e e e f f f g g g g 2
  e . . f f f g g g g 2
  e           g       2

References:

[1] Helmut Postl,
    many new prime boxes.
    letter from 9. July 1998

[2] Michael Reid,
    prime table check
    email from 1999-02-02