Prime numbers

Since 200 is a very small range, the prime counting fraction will have a high percentage error, so we can just count them. There are 25 + 21 prime numbers from 1 to 100 and 101 to 200 respectively. giving $\boxed{46}$ in total

Note: For higher numbers, this won't be practical, hence a prime-number counting function is defined which reduces the error percentage. Jump to the table from here , it's an interesting read

Prime numbers under $\boxed {200}$ are $2$ , $3$ , $5$ , $7$ , $11$ , $13$ , $17$ , $19$ , $23$ , $29$ , $31$ , $37$ , $41$ , $43$ , $47$ , $53$ , $59$ , $61$ , $67$ , $71$ , $73$ , $79$ , $83$ , $89$ , $97$ , $101$ , $103$ , $107$ , $109$ , $113$ , $127$ , $131$ , $137$ , $139$ , $149$ , $151$ , $157$ , $163$ , $167$ , $173$ , $179$ , $181$ , $191$ , $193$ , $197$ , and $199$ . In total, $\boxed {46}$ prime numbers under $\boxed {200}$ .