What is the 1335th prime number?
The 1335th prime number is 10993. The next prime is 11003 (a gap of 10) and the one before is 10987.
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 1335th one is 10993.
- 2
10993 is prime because no prime up to ā10993 ā 104.85 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1335th prime is close to 1335 Ć ln(1335) ā 9608, and here it is 10993.
- 4
10993 has no twin: neither 10991 nor 10995 is prime.
Primes around the 1335th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1332 | 10973 | 16 |
| 1333 | 10979 | 6 |
| 1334 | 10987 | 8 |
| 1335 | 10993 | 6 |
| 1336 | 11003 | 10 |
| 1337 | 11027 | 24 |
| 1338 | 11047 | 20 |
Questions
What is the 1335th prime number?
10993.
Which prime number is 10993?
10993 is the 1335th prime number.
What is the sum of the first 1335 primes?
6,848,586.