What is the 201st prime number?
The 201st prime number is 1229. The next prime is 1231 (a gap of 2) and the one before is 1223.
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 201st one is 1229.
- 2
1229 is prime because no prime up to ā1229 ā 35.06 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 201st prime is close to 201 Ć ln(201) ā 1066, and here it is 1229.
- 4
1229 is a twin prime: 1229 and 1231 are both prime.
Primes around the 201st
| Position | Prime | Gap from the previous |
|---|---|---|
| 198 | 1213 | 12 |
| 199 | 1217 | 4 |
| 200 | 1223 | 6 |
| 201 | 1229 | 6 |
| 202 | 1231 | 2 |
| 203 | 1237 | 6 |
| 204 | 1249 | 12 |
Questions
What is the 201st prime number?
1229.
Which prime number is 1229?
1229 is the 201st prime number.
What is the sum of the first 201 primes?
112,816.