What is the 1405th prime number?
The 1405th prime number is 11701. The next prime is 11717 (a gap of 16) and the one before is 11699.
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 1405th one is 11701.
- 2
11701 is prime because no prime up to ā11701 ā 108.17 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1405th prime is close to 1405 Ć ln(1405) ā 10183, and here it is 11701.
- 4
11701 is a twin prime: 11699 and 11701 are both prime.
Primes around the 1405th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1402 | 11681 | 4 |
| 1403 | 11689 | 8 |
| 1404 | 11699 | 10 |
| 1405 | 11701 | 2 |
| 1406 | 11717 | 16 |
| 1407 | 11719 | 2 |
| 1408 | 11731 | 12 |
Questions
What is the 1405th prime number?
11701.
Which prime number is 11701?
11701 is the 1405th prime number.
What is the sum of the first 1405 primes?
7,643,016.