What is the 1008th prime number?
The 1008th prime number is 8009. The next prime is 8011 (a gap of 2) and the one before is 7993.
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 1008th one is 8009.
- 2
8009 is prime because no prime up to ā8009 ā 89.49 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1008th prime is close to 1008 Ć ln(1008) ā 6971, and here it is 8009.
- 4
8009 is a twin prime: 8009 and 8011 are both prime.
Primes around the 1008th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1005 | 7951 | 2 |
| 1006 | 7963 | 12 |
| 1007 | 7993 | 30 |
| 1008 | 8009 | 16 |
| 1009 | 8011 | 2 |
| 1010 | 8017 | 6 |
| 1011 | 8039 | 22 |
Questions
What is the 1008th prime number?
8009.
Which prime number is 8009?
8009 is the 1008th prime number.
What is the sum of the first 1008 primes?
3,746,575.