What is the 1268th prime number?
The 1268th prime number is 10333. The next prime is 10337 (a gap of 4) and the one before is 10331.
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 1268th one is 10333.
- 2
10333 is prime because no prime up to ā10333 ā 101.65 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1268th prime is close to 1268 Ć ln(1268) ā 9060, and here it is 10333.
- 4
10333 is a twin prime: 10331 and 10333 are both prime.
Primes around the 1268th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1265 | 10313 | 10 |
| 1266 | 10321 | 8 |
| 1267 | 10331 | 10 |
| 1268 | 10333 | 2 |
| 1269 | 10337 | 4 |
| 1270 | 10343 | 6 |
| 1271 | 10357 | 14 |
Questions
What is the 1268th prime number?
10333.
Which prime number is 10333?
10333 is the 1268th prime number.
What is the sum of the first 1268 primes?
6,133,305.