What is the 1334th prime number?
The 1334th prime number is 10987. The next prime is 10993 (a gap of 6) and the one before is 10979.
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 1334th one is 10987.
- 2
10987 is prime because no prime up to ā10987 ā 104.82 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1334th prime is close to 1334 Ć ln(1334) ā 9599, and here it is 10987.
- 4
10987 has no twin: neither 10985 nor 10989 is prime.
Primes around the 1334th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1331 | 10957 | 8 |
| 1332 | 10973 | 16 |
| 1333 | 10979 | 6 |
| 1334 | 10987 | 8 |
| 1335 | 10993 | 6 |
| 1336 | 11003 | 10 |
| 1337 | 11027 | 24 |
Questions
What is the 1334th prime number?
10987.
Which prime number is 10987?
10987 is the 1334th prime number.
What is the sum of the first 1334 primes?
6,837,593.