What is the 1336th prime number?
The 1336th prime number is 11003. The next prime is 11027 (a gap of 24) and the one before is 10993.
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 1336th one is 11003.
- 2
11003 is prime because no prime up to ā11003 ā 104.90 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1336th prime is close to 1336 Ć ln(1336) ā 9616, and here it is 11003.
- 4
11003 has no twin: neither 11001 nor 11005 is prime.
Primes around the 1336th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1333 | 10979 | 6 |
| 1334 | 10987 | 8 |
| 1335 | 10993 | 6 |
| 1336 | 11003 | 10 |
| 1337 | 11027 | 24 |
| 1338 | 11047 | 20 |
| 1339 | 11057 | 10 |
Questions
What is the 1336th prime number?
11003.
Which prime number is 11003?
11003 is the 1336th prime number.
What is the sum of the first 1336 primes?
6,859,589.