What is the 1306th prime number?
The 1306th prime number is 10711. The next prime is 10723 (a gap of 12) and the one before is 10709.
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 1306th one is 10711.
- 2
10711 is prime because no prime up to ā10711 ā 103.49 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1306th prime is close to 1306 Ć ln(1306) ā 9370, and here it is 10711.
- 4
10711 is a twin prime: 10709 and 10711 are both prime.
Primes around the 1306th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1303 | 10687 | 20 |
| 1304 | 10691 | 4 |
| 1305 | 10709 | 18 |
| 1306 | 10711 | 2 |
| 1307 | 10723 | 12 |
| 1308 | 10729 | 6 |
| 1309 | 10733 | 4 |
Questions
What is the 1306th prime number?
10711.
Which prime number is 10711?
10711 is the 1306th prime number.
What is the sum of the first 1306 primes?
6,533,625.