What is the 1333rd prime number?
The 1333rd prime number is 10979. The next prime is 10987 (a gap of 8) and the one before is 10973.
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 1333rd one is 10979.
- 2
10979 is prime because no prime up to ā10979 ā 104.78 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1333rd prime is close to 1333 Ć ln(1333) ā 9591, and here it is 10979.
- 4
10979 has no twin: neither 10977 nor 10981 is prime.
Primes around the 1333rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1330 | 10949 | 10 |
| 1331 | 10957 | 8 |
| 1332 | 10973 | 16 |
| 1333 | 10979 | 6 |
| 1334 | 10987 | 8 |
| 1335 | 10993 | 6 |
| 1336 | 11003 | 10 |
Questions
What is the 1333rd prime number?
10979.
Which prime number is 10979?
10979 is the 1333rd prime number.
What is the sum of the first 1333 primes?
6,826,606.