What is the 1423rd prime number?
The 1423rd prime number is 11867. The next prime is 11887 (a gap of 20) and the one before is 11863.
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 1423rd one is 11867.
- 2
11867 is prime because no prime up to ā11867 ā 108.94 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1423rd prime is close to 1423 Ć ln(1423) ā 10332, and here it is 11867.
- 4
11867 has no twin: neither 11865 nor 11869 is prime.
Primes around the 1423rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1420 | 11833 | 2 |
| 1421 | 11839 | 6 |
| 1422 | 11863 | 24 |
| 1423 | 11867 | 4 |
| 1424 | 11887 | 20 |
| 1425 | 11897 | 10 |
| 1426 | 11903 | 6 |
Questions
What is the 1423rd prime number?
11867.
Which prime number is 11867?
11867 is the 1423rd prime number.
What is the sum of the first 1423 primes?
7,855,356.