150, 160, 170, 180, 190, 200
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202, 212, 222, 232, 242, 252, 262, 272, 282, and 292 are the palindromic numbers between 200 and 300. NONE of them are prime, since they must all end in 2 they are even and so are divisible by 2, so they are not prime.
After 5, all prime numbers end with 1, 3, 7 or 9.
There is no end to the world of numbers!