What is the 1322nd prime number?
The 1322nd prime number is 10867. The next prime is 10883 (a gap of 16) and the one before is 10861.
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 1322nd one is 10867.
- 2
10867 is prime because no prime up to ā10867 ā 104.24 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1322nd prime is close to 1322 Ć ln(1322) ā 9501, and here it is 10867.
- 4
10867 has no twin: neither 10865 nor 10869 is prime.
Primes around the 1322nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1319 | 10853 | 6 |
| 1320 | 10859 | 6 |
| 1321 | 10861 | 2 |
| 1322 | 10867 | 6 |
| 1323 | 10883 | 16 |
| 1324 | 10889 | 6 |
| 1325 | 10891 | 2 |
Questions
What is the 1322nd prime number?
10867.
Which prime number is 10867?
10867 is the 1322nd prime number.
What is the sum of the first 1322 primes?
6,706,397.