What is the 1407th prime number?
The 1407th prime number is 11719. The next prime is 11731 (a gap of 12) and the one before is 11717.
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 1407th one is 11719.
- 2
11719 is prime because no prime up to ā11719 ā 108.25 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1407th prime is close to 1407 Ć ln(1407) ā 10200, and here it is 11719.
- 4
11719 is a twin prime: 11717 and 11719 are both prime.
Primes around the 1407th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1404 | 11699 | 10 |
| 1405 | 11701 | 2 |
| 1406 | 11717 | 16 |
| 1407 | 11719 | 2 |
| 1408 | 11731 | 12 |
| 1409 | 11743 | 12 |
| 1410 | 11777 | 34 |
Questions
What is the 1407th prime number?
11719.
Which prime number is 11719?
11719 is the 1407th prime number.
What is the sum of the first 1407 primes?
7,666,452.