What is the 1323rd prime number?
The 1323rd prime number is 10883. The next prime is 10889 (a gap of 6) and the one before is 10867.
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 1323rd one is 10883.
- 2
10883 is prime because no prime up to ā10883 ā 104.32 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1323rd prime is close to 1323 Ć ln(1323) ā 9509, and here it is 10883.
- 4
10883 has no twin: neither 10881 nor 10885 is prime.
Primes around the 1323rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1320 | 10859 | 6 |
| 1321 | 10861 | 2 |
| 1322 | 10867 | 6 |
| 1323 | 10883 | 16 |
| 1324 | 10889 | 6 |
| 1325 | 10891 | 2 |
| 1326 | 10903 | 12 |
Questions
What is the 1323rd prime number?
10883.
Which prime number is 10883?
10883 is the 1323rd prime number.
What is the sum of the first 1323 primes?
6,717,280.