# Here Are Your Lucky Numbers

### It seems from this that all lucky numbers are odd numbers, which I suppose is logical, as luck is an odd concept. Plus, anything that survives in this world must be lucky.

### As to The numbers that didn't survive, evidently it's their own fault for being lazy no good slackers.

### Lucky

**Definition:** To build the *lucky* number sequence, start with natural numbers. Delete every second number, leaving 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, ... . The second number remaining is 3, so delete every third number, leaving 1, 3, 7, 9, 13, 15, 19, 21, ... . The next number remaining is 7, so delete every 7th number, leaving 1, 3, 7, 9, 13, 15, 21, ... . The next number remaining is 9, so delete every ninth number, etc.

Those numbers were lucky they weren't crossed out.

**First ten:** 1, 3, 7, 9, 13, 15, 21, 25, 31, 33

There are 1118 lucky numbers below 10,000.

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