What is the 197th prime number?
The 197th prime number is 1201. The next prime is 1213 (a gap of 12) and the one before is 1193.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 197th one is 1201.
- 2
1201 is prime because no prime up to ā1201 ā 34.66 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 197th prime is close to 197 Ć ln(197) ā 1041, and here it is 1201.
- 4
1201 has no twin: neither 1199 nor 1203 is prime.
Primes around the 197th
| Position | Prime | Gap from the previous |
|---|---|---|
| 194 | 1181 | 10 |
| 195 | 1187 | 6 |
| 196 | 1193 | 6 |
| 197 | 1201 | 8 |
| 198 | 1213 | 12 |
| 199 | 1217 | 4 |
| 200 | 1223 | 6 |
Questions
What is the 197th prime number?
1201.
Which prime number is 1201?
1201 is the 197th prime number.
What is the sum of the first 197 primes?
107,934.