What is the 1420th prime number?
The 1420th prime number is 11833. The next prime is 11839 (a gap of 6) and the one before is 11831.
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 1420th one is 11833.
- 2
11833 is prime because no prime up to ā11833 ā 108.78 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1420th prime is close to 1420 Ć ln(1420) ā 10307, and here it is 11833.
- 4
11833 is a twin prime: 11831 and 11833 are both prime.
Primes around the 1420th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1417 | 11821 | 8 |
| 1418 | 11827 | 6 |
| 1419 | 11831 | 4 |
| 1420 | 11833 | 2 |
| 1421 | 11839 | 6 |
| 1422 | 11863 | 24 |
| 1423 | 11867 | 4 |
Questions
What is the 1420th prime number?
11833.
Which prime number is 11833?
11833 is the 1420th prime number.
What is the sum of the first 1420 primes?
7,819,787.