Lucky Numbers in Java

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India Robin Sir
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Lucky Numbers in Java

Lucky numbers are a sequence of natural numbers that remain after removing second, third, fourth, fifth and so on numbers respectively from a sequence of consecutive natural numbers.

Consider the sequence of first 20 natural numbers:
Removing every second number produces the sequence: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19
Next removing every third number produces the sequence: 1, 3, 7, 9, 13, 15, 19
Next removing every fourth number produces the sequence: 1, 3, 7, 13, 15, 19
Further deleting every fifth number we get the sequence: 1, 3, 7, 13, 19

Deletion of every sixth number is not possible and the five numbers that are lucky to escape deletion remain indefinitely.



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