What is the 1424th prime number?
The 1424th prime number is 11887. The next prime is 11897 (a gap of 10) and the one before is 11867.
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 1424th one is 11887.
- 2
11887 is prime because no prime up to ā11887 ā 109.03 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1424th prime is close to 1424 Ć ln(1424) ā 10340, and here it is 11887.
- 4
11887 has no twin: neither 11885 nor 11889 is prime.
Primes around the 1424th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1421 | 11839 | 6 |
| 1422 | 11863 | 24 |
| 1423 | 11867 | 4 |
| 1424 | 11887 | 20 |
| 1425 | 11897 | 10 |
| 1426 | 11903 | 6 |
| 1427 | 11909 | 6 |
Questions
What is the 1424th prime number?
11887.
Which prime number is 11887?
11887 is the 1424th prime number.
What is the sum of the first 1424 primes?
7,867,243.