What is the 1337th prime number?
The 1337th prime number is 11027. The next prime is 11047 (a gap of 20) and the one before is 11003.
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 1337th one is 11027.
- 2
11027 is prime because no prime up to ā11027 ā 105.01 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1337th prime is close to 1337 Ć ln(1337) ā 9624, and here it is 11027.
- 4
11027 has no twin: neither 11025 nor 11029 is prime.
Primes around the 1337th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1334 | 10987 | 8 |
| 1335 | 10993 | 6 |
| 1336 | 11003 | 10 |
| 1337 | 11027 | 24 |
| 1338 | 11047 | 20 |
| 1339 | 11057 | 10 |
| 1340 | 11059 | 2 |
Questions
What is the 1337th prime number?
11027.
Which prime number is 11027?
11027 is the 1337th prime number.
What is the sum of the first 1337 primes?
6,870,616.