What is the 1406th prime number?
The 1406th prime number is 11717. The next prime is 11719 (a gap of 2) and the one before is 11701.
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 1406th one is 11717.
- 2
11717 is prime because no prime up to ā11717 ā 108.25 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1406th prime is close to 1406 Ć ln(1406) ā 10191, and here it is 11717.
- 4
11717 is a twin prime: 11717 and 11719 are both prime.
Primes around the 1406th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1403 | 11689 | 8 |
| 1404 | 11699 | 10 |
| 1405 | 11701 | 2 |
| 1406 | 11717 | 16 |
| 1407 | 11719 | 2 |
| 1408 | 11731 | 12 |
| 1409 | 11743 | 12 |
Questions
What is the 1406th prime number?
11717.
Which prime number is 11717?
11717 is the 1406th prime number.
What is the sum of the first 1406 primes?
7,654,733.