What is the 199th prime number?
The 199th prime number is 1217. The next prime is 1223 (a gap of 6) and the one before is 1213.
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 199th one is 1217.
- 2
1217 is prime because no prime up to ā1217 ā 34.89 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 199th prime is close to 199 Ć ln(199) ā 1053, and here it is 1217.
- 4
1217 has no twin: neither 1215 nor 1219 is prime.
Primes around the 199th
| Position | Prime | Gap from the previous |
|---|---|---|
| 196 | 1193 | 6 |
| 197 | 1201 | 8 |
| 198 | 1213 | 12 |
| 199 | 1217 | 4 |
| 200 | 1223 | 6 |
| 201 | 1229 | 6 |
| 202 | 1231 | 2 |
Questions
What is the 199th prime number?
1217.
Which prime number is 1217?
1217 is the 199th prime number.
What is the sum of the first 199 primes?
110,364.