What is the 1479th prime number?
The 1479th prime number is 12391. The next prime is 12401 (a gap of 10) and the one before is 12379.
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 1479th one is 12391.
- 2
12391 is prime because no prime up to ā12391 ā 111.31 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1479th prime is close to 1479 Ć ln(1479) ā 10795, and here it is 12391.
- 4
12391 has no twin: neither 12389 nor 12393 is prime.
Primes around the 1479th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1476 | 12373 | 26 |
| 1477 | 12377 | 4 |
| 1478 | 12379 | 2 |
| 1479 | 12391 | 12 |
| 1480 | 12401 | 10 |
| 1481 | 12409 | 8 |
| 1482 | 12413 | 4 |
Questions
What is the 1479th prime number?
12391.
Which prime number is 12391?
12391 is the 1479th prime number.
What is the sum of the first 1479 primes?
8,534,550.