What is the 1324th prime number?
The 1324th prime number is 10889. The next prime is 10891 (a gap of 2) and the one before is 10883.
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 1324th one is 10889.
- 2
10889 is prime because no prime up to ā10889 ā 104.35 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1324th prime is close to 1324 Ć ln(1324) ā 9517, and here it is 10889.
- 4
10889 is a twin prime: 10889 and 10891 are both prime.
Primes around the 1324th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1321 | 10861 | 2 |
| 1322 | 10867 | 6 |
| 1323 | 10883 | 16 |
| 1324 | 10889 | 6 |
| 1325 | 10891 | 2 |
| 1326 | 10903 | 12 |
| 1327 | 10909 | 6 |
Questions
What is the 1324th prime number?
10889.
Which prime number is 10889?
10889 is the 1324th prime number.
What is the sum of the first 1324 primes?
6,728,169.