Only 2... 83 and 89.
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The prime numbers less than 100 that contain an 8 are 83 and 89. So, there are two prime numbers that are less than 100 and contain an 8.
There are 25 prime numbers less than 100
There are 46 prime numbers less than 200.
They are 239 prime numbers less than 1500.
There are 1229 prime numbers that are less than 10000.