What is the 1328th prime number?
The 1328th prime number is 10937. The next prime is 10939 (a gap of 2) and the one before is 10909.
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 1328th one is 10937.
- 2
10937 is prime because no prime up to ā10937 ā 104.58 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1328th prime is close to 1328 Ć ln(1328) ā 9550, and here it is 10937.
- 4
10937 is a twin prime: 10937 and 10939 are both prime.
Primes around the 1328th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1325 | 10891 | 2 |
| 1326 | 10903 | 12 |
| 1327 | 10909 | 6 |
| 1328 | 10937 | 28 |
| 1329 | 10939 | 2 |
| 1330 | 10949 | 10 |
| 1331 | 10957 | 8 |
Questions
What is the 1328th prime number?
10937.
Which prime number is 10937?
10937 is the 1328th prime number.
What is the sum of the first 1328 primes?
6,771,809.