What is the 1267th prime number?
The 1267th prime number is 10331. The next prime is 10333 (a gap of 2) and the one before is 10321.
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 1267th one is 10331.
- 2
10331 is prime because no prime up to ā10331 ā 101.64 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1267th prime is close to 1267 Ć ln(1267) ā 9052, and here it is 10331.
- 4
10331 is a twin prime: 10331 and 10333 are both prime.
Primes around the 1267th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1264 | 10303 | 2 |
| 1265 | 10313 | 10 |
| 1266 | 10321 | 8 |
| 1267 | 10331 | 10 |
| 1268 | 10333 | 2 |
| 1269 | 10337 | 4 |
| 1270 | 10343 | 6 |
Questions
What is the 1267th prime number?
10331.
Which prime number is 10331?
10331 is the 1267th prime number.
What is the sum of the first 1267 primes?
6,122,972.