Primes of the enneomino

2 × 9
13 × 63
15 × 33, 15 × 39, 15 × 42, 15 × 45, 15 × 48
21 × 21, 21 × 24, 21 × 30, 21 × 33
23 × 27
24 × 24
complete

smallest rectangle: 2 × 9




smallest odd rectangle: 21 × 21

The smallest odd rectangle was given in [1, Figure 13] and [2, Figure 11].

References

[1] William Rex Marshall, Packing Rectangles with Congruent Polyominoes, Journal of Combinatorial Theory, Series A 77 (1997), no. 2, pp. 181-192.
[2] Michael Reid, Tiling Rectangles and Half Strips with Congruent Polyominoes, Journal of Combinatorial Theory, Series A 80 (1997), no. 1, pp. 106-123.

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Updated August 25, 2011.