What is the 1304th prime number?
The 1304th prime number is 10691. The next prime is 10709 (a gap of 18) and the one before is 10687.
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 1304th one is 10691.
- 2
10691 is prime because no prime up to ā10691 ā 103.40 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1304th prime is close to 1304 Ć ln(1304) ā 9354, and here it is 10691.
- 4
10691 has no twin: neither 10689 nor 10693 is prime.
Primes around the 1304th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1301 | 10663 | 6 |
| 1302 | 10667 | 4 |
| 1303 | 10687 | 20 |
| 1304 | 10691 | 4 |
| 1305 | 10709 | 18 |
| 1306 | 10711 | 2 |
| 1307 | 10723 | 12 |
Questions
What is the 1304th prime number?
10691.
Which prime number is 10691?
10691 is the 1304th prime number.
What is the sum of the first 1304 primes?
6,512,205.