What is the 1330th prime number?
The 1330th prime number is 10949. The next prime is 10957 (a gap of 8) and the one before is 10939.
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 1330th one is 10949.
- 2
10949 is prime because no prime up to ā10949 ā 104.64 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1330th prime is close to 1330 Ć ln(1330) ā 9567, and here it is 10949.
- 4
10949 has no twin: neither 10947 nor 10951 is prime.
Primes around the 1330th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1327 | 10909 | 6 |
| 1328 | 10937 | 28 |
| 1329 | 10939 | 2 |
| 1330 | 10949 | 10 |
| 1331 | 10957 | 8 |
| 1332 | 10973 | 16 |
| 1333 | 10979 | 6 |
Questions
What is the 1330th prime number?
10949.
Which prime number is 10949?
10949 is the 1330th prime number.
What is the sum of the first 1330 primes?
6,793,697.