What is the 1404th prime number?
The 1404th prime number is 11699. The next prime is 11701 (a gap of 2) and the one before is 11689.
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 1404th one is 11699.
- 2
11699 is prime because no prime up to ā11699 ā 108.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1404th prime is close to 1404 Ć ln(1404) ā 10175, and here it is 11699.
- 4
11699 is a twin prime: 11699 and 11701 are both prime.
Primes around the 1404th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1401 | 11677 | 20 |
| 1402 | 11681 | 4 |
| 1403 | 11689 | 8 |
| 1404 | 11699 | 10 |
| 1405 | 11701 | 2 |
| 1406 | 11717 | 16 |
| 1407 | 11719 | 2 |
Questions
What is the 1404th prime number?
11699.
Which prime number is 11699?
11699 is the 1404th prime number.
What is the sum of the first 1404 primes?
7,631,315.