Well, if you think about it, a prime can never end in 4, because then it would be divisible by 2.
So the only numbers you need to check are 41, 43, 45, 47, and 49. Can you take it from there?
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There are 21 two-digit prime numbers.
There are 17 such numbers.
24 of them.
there are 4
There are 5 of them.