What is the 1331st prime number?
The 1331st prime number is 10957. The next prime is 10973 (a gap of 16) and the one before is 10949.
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 1331st one is 10957.
- 2
10957 is prime because no prime up to ā10957 ā 104.68 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1331st prime is close to 1331 Ć ln(1331) ā 9575, and here it is 10957.
- 4
10957 has no twin: neither 10955 nor 10959 is prime.
Primes around the 1331st
| Position | Prime | Gap from the previous |
|---|---|---|
| 1328 | 10937 | 28 |
| 1329 | 10939 | 2 |
| 1330 | 10949 | 10 |
| 1331 | 10957 | 8 |
| 1332 | 10973 | 16 |
| 1333 | 10979 | 6 |
| 1334 | 10987 | 8 |
Questions
What is the 1331st prime number?
10957.
Which prime number is 10957?
10957 is the 1331st prime number.
What is the sum of the first 1331 primes?
6,804,654.