What is the 1327th prime number?
The 1327th prime number is 10909. The next prime is 10937 (a gap of 28) and the one before is 10903.
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 1327th one is 10909.
- 2
10909 is prime because no prime up to ā10909 ā 104.45 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1327th prime is close to 1327 Ć ln(1327) ā 9542, and here it is 10909.
- 4
10909 has no twin: neither 10907 nor 10911 is prime.
Primes around the 1327th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1324 | 10889 | 6 |
| 1325 | 10891 | 2 |
| 1326 | 10903 | 12 |
| 1327 | 10909 | 6 |
| 1328 | 10937 | 28 |
| 1329 | 10939 | 2 |
| 1330 | 10949 | 10 |
Questions
What is the 1327th prime number?
10909.
Which prime number is 10909?
10909 is the 1327th prime number.
What is the sum of the first 1327 primes?
6,760,872.