What is the 1408th prime number?
The 1408th prime number is 11731. The next prime is 11743 (a gap of 12) and the one before is 11719.
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 1408th one is 11731.
- 2
11731 is prime because no prime up to ā11731 ā 108.31 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1408th prime is close to 1408 Ć ln(1408) ā 10208, and here it is 11731.
- 4
11731 has no twin: neither 11729 nor 11733 is prime.
Primes around the 1408th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1405 | 11701 | 2 |
| 1406 | 11717 | 16 |
| 1407 | 11719 | 2 |
| 1408 | 11731 | 12 |
| 1409 | 11743 | 12 |
| 1410 | 11777 | 34 |
| 1411 | 11779 | 2 |
Questions
What is the 1408th prime number?
11731.
Which prime number is 11731?
11731 is the 1408th prime number.
What is the sum of the first 1408 primes?
7,678,183.