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PUZZLET 212

Lucky Numbers

Lucky Nrs are formed thus: 

Start with only odd integers. 1, 3, 5, 7, 9, 11, 13, 15, . . .   Look at the 2nd term: it's a 3.

So remove every 3rd term, thus:  1, 3, 7, 9, 13, 15, 19, 21, . . .  Look at the 3rd term: it's a 7.

So remove every 7th term, thus: 1, 3, 7, 9, 13, 15, 21, . . . Continue with the 4th term etc, until all the numbers in the desired range are processed.

Find all the Lucky Numbers less than 1000 which are also perfect squares.




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Last Updated: February 28th, 2010.