## Brain-Teaser 21

**From The Sunday Times, 13th**** August 1961** [link]

Across:

1a.Square of a multiple of 11.

5a.A fourth power.

8a.A multiple of2d.

9a.A cube reversed.

11a.If added to4dit gives a square.

12a.3 times a prime number.

14a.A multiple of 11.

16a.A prime number.

17a.A cube, which is also the sum of three cubes.

18a.An even number.

20a.A multiple of 12.

21a.A prime number.

22a.The square of a palindromic number.

Down:

1d.The product of two consecutive numbers (neither a prime).

2d.See8a.

3d.A cube.

4d.See11a.

6d.The sum of the digits of3d.

7d.The square of (6dreversed).

10d.The product of two consecutive odd numbers.

13d.The product of two consecutive even numbers.

15d.A cube.

16d.A square.

19d.An even multiple of (18a+21a).

[teaser21]

## Jim Randell 9:18 am

on14 February 2021 Permalink |I used the [[

`SubstitutedExpression`

]] solver from theenigma.pylibrary to solve this puzzle.The following run file executes in 372ms.

(Using the standard Python interpreter we need to provide the additional [[

`--denest`

]] parameter to work around the limit on statically nested blocks. This is not required if using thePyPyinterpreter).Run:[ @repl.it ]Solution:The completed grid looks like this:LikeLike