This month's riddle comes from an idea by Graham Farr. More credits and
references for it will be given on the solution page.
We begin with three definitions. The first two are for familiar mathematical objects, the third is new.
We call a number a
We call a number a
We call a number a - It is a palindrome.
- It is a square.
- Its root is a palindrome.
This month's question: as a function of Provide your answer as a closed-form formula. (As usual, with proof of correctness.) |
## List of solvers:Joseph DeVincentis (2 July 21:55)Lewei Weng (3 July 15:42) Albert Su (3 July 17:15) Oded Margalit (7 July 01:25) Andreas Razen (10 July 05:32) Dan Dima (11 July 22:01) Rohan Joshi (13 July 07:40) Graham Hemsley (14 July 18:03) Daniel Bitin (15 July 00:56) Jan Fricke (16 July 01:29) Lorenz Reichel (18 July 23:12) Yuanming Yu (19 July 02:15) Andreas Stiller (28 July 11:02) Radu-Alexandru Todor (31 July 19:35) Harald Bögeholz (1 August 03:40) |

Elegant and original solutions can be submitted to the puzzlemaster at __riddlesbrand.scso.com__.
Names of solvers will be posted on this page. Notify if you don't want
your name to be mentioned.

The solution will be published at the end of the month.

Enjoy!