What is the 202nd prime number?
The 202nd prime number is 1231. The next prime is 1237 (a gap of 6) and the one before is 1229.
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 202nd one is 1231.
- 2
1231 is prime because no prime up to ā1231 ā 35.09 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 202nd prime is close to 202 Ć ln(202) ā 1072, and here it is 1231.
- 4
1231 is a twin prime: 1229 and 1231 are both prime.
Primes around the 202nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 199 | 1217 | 4 |
| 200 | 1223 | 6 |
| 201 | 1229 | 6 |
| 202 | 1231 | 2 |
| 203 | 1237 | 6 |
| 204 | 1249 | 12 |
| 205 | 1259 | 10 |
Questions
What is the 202nd prime number?
1231.
Which prime number is 1231?
1231 is the 202nd prime number.
What is the sum of the first 202 primes?
114,047.