What is the 1009th prime number?
The 1009th prime number is 8011. The next prime is 8017 (a gap of 6) and the one before is 8009.
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 1009th one is 8011.
- 2
8011 is prime because no prime up to ā8011 ā 89.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1009th prime is close to 1009 Ć ln(1009) ā 6979, and here it is 8011.
- 4
8011 is a twin prime: 8009 and 8011 are both prime.
Primes around the 1009th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1006 | 7963 | 12 |
| 1007 | 7993 | 30 |
| 1008 | 8009 | 16 |
| 1009 | 8011 | 2 |
| 1010 | 8017 | 6 |
| 1011 | 8039 | 22 |
| 1012 | 8053 | 14 |
Questions
What is the 1009th prime number?
8011.
Which prime number is 8011?
8011 is the 1009th prime number.
What is the sum of the first 1009 primes?
3,754,586.