What is the 1419th prime number?
The 1419th prime number is 11831. The next prime is 11833 (a gap of 2) and the one before is 11827.
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 1419th one is 11831.
- 2
11831 is prime because no prime up to ā11831 ā 108.77 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1419th prime is close to 1419 Ć ln(1419) ā 10299, and here it is 11831.
- 4
11831 is a twin prime: 11831 and 11833 are both prime.
Primes around the 1419th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1416 | 11813 | 6 |
| 1417 | 11821 | 8 |
| 1418 | 11827 | 6 |
| 1419 | 11831 | 4 |
| 1420 | 11833 | 2 |
| 1421 | 11839 | 6 |
| 1422 | 11863 | 24 |
Questions
What is the 1419th prime number?
11831.
Which prime number is 11831?
11831 is the 1419th prime number.
What is the sum of the first 1419 primes?
7,807,954.