Prime Looking Numbers

Call a number p r i m e l o o k i n g prime looking if it is composite but not divisible by 2 2 , 3 3 or 5 5 .How many prime looking are there less than 1000 1000 ?

There are 168 prime numbers less than 1000

Examples The three smallest p r i m e l o o k i n g prime looking numbers are 49 , 77 , 91 49,77,91


The answer is 100.

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