Between 200 and 300
Prime
Sum of the digits is 8
When divided by, remainder is 1
The only prime number between 200 and 300 whose digit sum is 8 and has a remainder of 1 when divided by 7 is:
241
To check, we can see that the digit sum is 2 + 4 + 1 = 7, and when divided by 7 we get a remainder of 4, which is 1 less than the divisor. Also, 241 is a prime number.