SPSRs Order 17

There are 31426 simple perfect squared rectangles of order 17, sorted by width and height, split across 32 menus at the left, and also as spsro17.pdf 35.5 Mb.

There are actually 31427 in the listing, because 1 of them is a compound (rectangle 478 x 422) It has been included for the sake of completeness and to highlight the fact that compound perfect squared rectangles (CPSRs) appear in the output of perfect simple squared rectangles programs from order 17 and up. There are also lots of CPSRs at lower orders, for example 13:261x259 (131,130)(1,129)(72,60)(28,32)(56,16)(40,4)(36).

Order 17 has a rectangle (260 x 258) with 11 out of 17 elements prime. In order 17 there is a rectangle (101 x 91) with a square of size 6 on the boundary. The smallest possible boundary square for a squared square or squared rectangle is of size 5. (Ian Gambini has found examples of squared squares with a boundary square of size 5, they are SPSS's 44:1285A and 58:1297A.)