## plusquamperfect squares

For some perfect squares, when you remove the last digit, you get another perfect square. The first five perfect squares are 16, 49, 169, 256 and 361. What are the

nextthree ones? Is there a more than perfect square other than 169 such that removing the last two digits returns a perfect square?

Writing an R code for plusquamperfect squares is straightforward and returns the following first 20 values

[1] 16 49 169 256 361 1444 [7] 3249 18496 64009 237169 364816 519841 [13] 2079364 4678569 26666896 92294449 341991049 526060096 [19] 749609641 2998438564

Adding the second constraint does not return a solution other than 169.

April 3, 2021 at 8:12 am

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