What is the 1421st prime number?
The 1421st prime number is 11839. The next prime is 11863 (a gap of 24) and the one before is 11833.
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 1421st one is 11839.
- 2
11839 is prime because no prime up to ā11839 ā 108.81 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1421st prime is close to 1421 Ć ln(1421) ā 10315, and here it is 11839.
- 4
11839 has no twin: neither 11837 nor 11841 is prime.
Primes around the 1421st
| Position | Prime | Gap from the previous |
|---|---|---|
| 1418 | 11827 | 6 |
| 1419 | 11831 | 4 |
| 1420 | 11833 | 2 |
| 1421 | 11839 | 6 |
| 1422 | 11863 | 24 |
| 1423 | 11867 | 4 |
| 1424 | 11887 | 20 |
Questions
What is the 1421st prime number?
11839.
Which prime number is 11839?
11839 is the 1421st prime number.
What is the sum of the first 1421 primes?
7,831,626.