What is the 1422nd prime number?
The 1422nd prime number is 11863. The next prime is 11867 (a gap of 4) and the one before is 11839.
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 1422nd one is 11863.
- 2
11863 is prime because no prime up to ā11863 ā 108.92 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1422nd prime is close to 1422 Ć ln(1422) ā 10323, and here it is 11863.
- 4
11863 has no twin: neither 11861 nor 11865 is prime.
Primes around the 1422nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1419 | 11831 | 4 |
| 1420 | 11833 | 2 |
| 1421 | 11839 | 6 |
| 1422 | 11863 | 24 |
| 1423 | 11867 | 4 |
| 1424 | 11887 | 20 |
| 1425 | 11897 | 10 |
Questions
What is the 1422nd prime number?
11863.
Which prime number is 11863?
11863 is the 1422nd prime number.
What is the sum of the first 1422 primes?
7,843,489.