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53 59 61 67 71 73 79 83 89 97 are the prime numbers between 51 & 100.
40 of them including 51 and 100 38 without.
They are 100 minus 49 = 51
There will be (200-100)/2+1 = 51 numbers divisible by 2.There will be Floor[(200 - 100)/3] = 33 numbers divisible by 3.Multiples of 6 from the 17th through the 33rd will be counted twice by the sum of these numbers (51+33). There are 17 of them.That means the count of numbers you are interested in is 51+33-17 = 67.