000RM.dvi

(Ann) #1

412 Digit problems


Charles Twigg’s square number trivia


What three-digit squares have the following characteristics?


1.are palindromes.

2.are permutations of consecutive digits.

3.form reversal pairs.

4.are three permutations of the same digit set.

5.three of its permutations are prime.

6.the sum of the digits is 19.
7.is also a cube.

8.the central digit is perfect.

9.are composed of even digits.

10.the central digit is a nonzero cube.
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